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Search results for: process-oriented method.

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</div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: process-oriented method.</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8086</span> Application of Simulation and Response Surface to Optimize Hospital Resources</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shamsuddin%20Ahmed">Shamsuddin Ahmed</a>, <a href="https://publications.waset.org/search?q=Francis%20Amagoh"> Francis Amagoh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a case study that uses processoriented simulation to identify bottlenecks in the service delivery system in an emergency department of a hospital in the United Arab Emirates. Using results of the simulation, response surface models were developed to explain patient waiting time and the total time patients spend in the hospital system. Results of the study could be used as a service improvement tool to help hospital management in improving patient throughput and service quality in the hospital system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Simulation" title="Simulation">Simulation</a>, <a href="https://publications.waset.org/search?q=Hospital%20Service" title=" Hospital Service"> Hospital Service</a>, <a href="https://publications.waset.org/search?q=Resource%20Utilization" title=" Resource Utilization"> Resource Utilization</a>, <a href="https://publications.waset.org/search?q=United%20Arab%20Emirates." title="United Arab Emirates.">United Arab Emirates.</a> </p> <a href="https://publications.waset.org/15613/application-of-simulation-and-response-surface-to-optimize-hospital-resources" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15613/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15613/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15613/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15613/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15613/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15613/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15613/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15613/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15613/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15613/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15613.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1498</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8085</span> Weighted Harmonic Arnoldi Method for Large Interior Eigenproblems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zhengsheng%20Wang">Zhengsheng Wang</a>, <a href="https://publications.waset.org/search?q=Jing%20Qi"> Jing Qi</a>, <a href="https://publications.waset.org/search?q=Chuntao%20Liu"> Chuntao Liu</a>, <a href="https://publications.waset.org/search?q=Yuanjun%20Li"> Yuanjun Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The harmonic Arnoldi method can be used to find interior eigenpairs of large matrices. However, it has been shown that this method may converge erratically and even may fail to do so. In this paper, we present a new method for computing interior eigenpairs of large nonsymmetric matrices, which is called weighted harmonic Arnoldi method. The implementation of the method has been tested by numerical examples, the results show that the method converges fast and works with high accuracy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Harmonic%20Arnoldi%20method" title="Harmonic Arnoldi method">Harmonic Arnoldi method</a>, <a href="https://publications.waset.org/search?q=weighted%20harmonic%20Arnoldi%20method" title=" weighted harmonic Arnoldi method"> weighted harmonic Arnoldi method</a>, <a href="https://publications.waset.org/search?q=eigenpair" title=" eigenpair"> eigenpair</a>, <a href="https://publications.waset.org/search?q=interior%20eigenproblem" title=" interior eigenproblem"> interior eigenproblem</a>, <a href="https://publications.waset.org/search?q=non%20symmetric%20matrix." title=" non symmetric matrix."> non symmetric matrix.</a> </p> <a href="https://publications.waset.org/2651/weighted-harmonic-arnoldi-method-for-large-interior-eigenproblems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2651/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2651/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2651/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2651/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2651/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2651/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2651/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2651/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2651/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2651/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2651.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1549</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8084</span> Dissipation of Higher Mode using Numerical Integration Algorithm in Dynamic Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jin%20Sup%20Kim">Jin Sup Kim</a>, <a href="https://publications.waset.org/search?q=Woo%20Young%20Jung"> Woo Young Jung</a>, <a href="https://publications.waset.org/search?q=Minho%20Kwon"> Minho Kwon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In general dynamic analyses, lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior and not affects to global response much. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes using intended numerical error. The objective of this study is to introduce the P-method and PC 伪-method to compare that with dissipation method and Newmark method through the stability analysis and numerical example. PC 伪-method gives more accuracy than other methods because it based on the 伪-method inherits the superior properties of the implicit 伪-method. In finite element analysis, the PC 伪-method is more useful than other methods because it is the explicit scheme and it achieves the second order accuracy and numerical damping simultaneously. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Dynamic" title="Dynamic">Dynamic</a>, <a href="https://publications.waset.org/search?q=%CE%B1-Method" title=" 伪-Method"> 伪-Method</a>, <a href="https://publications.waset.org/search?q=P-Method" title=" P-Method"> P-Method</a>, <a href="https://publications.waset.org/search?q=PC%20%CE%B1-Method" title=" PC 伪-Method"> PC 伪-Method</a>, <a href="https://publications.waset.org/search?q=Newmark%20method." title="Newmark method.">Newmark method.</a> </p> <a href="https://publications.waset.org/14220/dissipation-of-higher-mode-using-numerical-integration-algorithm-in-dynamic-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14220/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14220/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14220/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14220/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14220/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14220/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14220/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14220/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14220/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14220/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14220.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3076</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8083</span> The RK1GL2X3 Method for Initial Value Problems in Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.S.C.%20Prentice">J.S.C. Prentice</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The RK1GL2X3 method is a numerical method for solving initial value problems in ordinary differential equations, and is based on the RK1GL2 method which, in turn, is a particular case of the general RKrGLm method. The RK1GL2X3 method is a fourth-order method, even though its underlying Runge-Kutta method RK1 is the first-order Euler method, and hence, RK1GL2X3 is considerably more efficient than RK1. This enhancement is achieved through an implementation involving triple-nested two-point Gauss- Legendre quadrature.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=RK1GL2X3" title="RK1GL2X3">RK1GL2X3</a>, <a href="https://publications.waset.org/search?q=RK1GL2" title=" RK1GL2"> RK1GL2</a>, <a href="https://publications.waset.org/search?q=RKrGLm" title=" RKrGLm"> RKrGLm</a>, <a href="https://publications.waset.org/search?q=Runge-Kutta" title=" Runge-Kutta"> Runge-Kutta</a>, <a href="https://publications.waset.org/search?q=Gauss-Legendre" title=" Gauss-Legendre"> Gauss-Legendre</a>, <a href="https://publications.waset.org/search?q=initial%20value%20problem" title=" initial value problem"> initial value problem</a>, <a href="https://publications.waset.org/search?q=local%20error" title=" local error"> local error</a>, <a href="https://publications.waset.org/search?q=global%20error." title=" global error."> global error.</a> </p> <a href="https://publications.waset.org/8881/the-rk1gl2x3-method-for-initial-value-problems-in-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8881/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8881/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8881/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8881/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8881/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8881/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8881/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8881/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8881/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8881/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8881.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1318</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8082</span> Seat Assignment Problem Optimization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohammed%20Salem%20Alzahrani">Mohammed Salem Alzahrani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the optimality of the solution of an existing real word assignment problem known as the seat assignment problem using Seat Assignment Method (SAM) is discussed. SAM is the newly driven method from three existing methods, Hungarian Method, Northwest Corner Method and Least Cost Method in a special way that produces the easiness & fairness among all methods that solve the seat assignment problem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Assignment%20Problem" title="Assignment Problem">Assignment Problem</a>, <a href="https://publications.waset.org/search?q=Hungarian%20Method" title=" Hungarian Method"> Hungarian Method</a>, <a href="https://publications.waset.org/search?q=Least%20Cost%0AMethod" title=" Least Cost Method"> Least Cost Method</a>, <a href="https://publications.waset.org/search?q=Northwest%20Corner%20Method" title=" Northwest Corner Method"> Northwest Corner Method</a>, <a href="https://publications.waset.org/search?q=Seat%20Assignment%20Method%0A%28SAM%29" title=" Seat Assignment Method (SAM)"> Seat Assignment Method (SAM)</a>, <a href="https://publications.waset.org/search?q=A%20Real%20Word%20Assignment%20Problem." title=" A Real Word Assignment Problem."> A Real Word Assignment Problem.</a> </p> <a href="https://publications.waset.org/11335/seat-assignment-problem-optimization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11335/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11335/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11335/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11335/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11335/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11335/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11335/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11335/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11335/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11335/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11335.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3446</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8081</span> A New Method to Solve a Non Linear Differential System </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Seifedine%20Kadry">Seifedine Kadry </a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this article, our objective is the analysis of the resolution of non-linear differential systems by combining Newton and Continuation (N-C) method. The iterative numerical methods converge where the initial condition is chosen close to the exact solution. The question of choosing the initial condition is answered by N-C method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Continuation%20Method" title="Continuation Method">Continuation Method</a>, <a href="https://publications.waset.org/search?q=Newton%20Method" title=" Newton Method"> Newton Method</a>, <a href="https://publications.waset.org/search?q=Finite%20Difference%20Method" title=" Finite Difference Method"> Finite Difference Method</a>, <a href="https://publications.waset.org/search?q=Numerical%20Analysis%20and%20Non-Linear%20partial%20Differential%20Equation." title=" Numerical Analysis and Non-Linear partial Differential Equation."> Numerical Analysis and Non-Linear partial Differential Equation.</a> </p> <a href="https://publications.waset.org/10392/a-new-method-to-solve-a-non-linear-differential-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10392/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10392/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10392/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10392/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10392/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10392/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10392/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10392/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10392/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10392/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10392.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1391</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8080</span> An Efficient Method for Solving Multipoint Equation Boundary Value Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ampon%20Dhamacharoen">Ampon Dhamacharoen</a>, <a href="https://publications.waset.org/search?q=Kanittha%20Chompuvised"> Kanittha Chompuvised</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we solve multipoint boundary value problems where the boundary value conditions are equations using the Newton-Broyden Shooting method (NBSM).The proposed method is tested upon several problems from the literature and the results are compared with the available exact solution. The experiments are given to illustrate the efficiency and implementation of the method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20value%20problem%3B%20Multipoint%20equation%0Aboundary%20value%20problems" title="Boundary value problem; Multipoint equation boundary value problems">Boundary value problem; Multipoint equation boundary value problems</a>, <a href="https://publications.waset.org/search?q=Shooting%20Method" title=" Shooting Method"> Shooting Method</a>, <a href="https://publications.waset.org/search?q=Newton-Broyden%0Amethod." title=" Newton-Broyden method."> Newton-Broyden method.</a> </p> <a href="https://publications.waset.org/7803/an-efficient-method-for-solving-multipoint-equation-boundary-value-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7803/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7803/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7803/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7803/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7803/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7803/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7803/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7803/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7803/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7803/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7803.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1785</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8079</span> The Differential Transform Method for Advection-Diffusion Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20F.%20Patricio">M. F. Patricio</a>, <a href="https://publications.waset.org/search?q=P.%20M.%20Rosa"> P. M. Rosa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper a class of numerical methods to solve linear and nonlinear PDEs and also systems of PDEs is developed. The Differential Transform method associated with the Method of Lines (MoL) is used. The theory for linear problems is extended to the nonlinear case, and a recurrence relation is established. This method can achieve an arbitrary high-order accuracy in time. A variable stepsize algorithm and some numerical results are also presented.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Method%20of%20Lines" title="Method of Lines">Method of Lines</a>, <a href="https://publications.waset.org/search?q=Differential%20Transform%20Method." title=" Differential Transform Method."> Differential Transform Method.</a> </p> <a href="https://publications.waset.org/8361/the-differential-transform-method-for-advection-diffusion-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8361/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8361/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8361/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8361/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8361/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8361/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8361/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8361/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8361/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8361/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8361.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1744</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8078</span> HPL-TE Method for Determination of Coatings Relative Total Emissivity Sensitivity Analysis of the Influences of Method Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Z.%20Vesel%C3%BD">Z. Vesel媒</a>, <a href="https://publications.waset.org/search?q=M.%20Honner"> M. Honner</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>High power laser &ndash; total emissivity method (HPL-TE method) for determination of coatings relative total emissivity dependent on the temperature is introduced. Method principle, experimental and evaluation parts of the method are described. Computer model of HPL-TE method is employed to perform the sensitivity analysis of the effect of method parameters on the sample surface temperature in the positions where the surface temperature and radiation heat flux are measured.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=High%20temperature%20laser%20testing" title="High temperature laser testing">High temperature laser testing</a>, <a href="https://publications.waset.org/search?q=measurement%20ofthermal%20properties" title=" measurement ofthermal properties"> measurement ofthermal properties</a>, <a href="https://publications.waset.org/search?q=emissivity" title=" emissivity"> emissivity</a>, <a href="https://publications.waset.org/search?q=coatings." title=" coatings."> coatings.</a> </p> <a href="https://publications.waset.org/12446/hpl-te-method-for-determination-of-coatings-relative-total-emissivity-sensitivity-analysis-of-the-influences-of-method-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12446/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12446/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12446/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12446/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12446/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12446/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12446/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12446/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12446/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12446/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12446.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1332</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8077</span> A New Iterative Method for Solving Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ibrahim%20Abu-Alshaikh">Ibrahim Abu-Alshaikh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this study, a new root-finding method for solving nonlinear equations is proposed. This method requires two starting values that do not necessarily bracketing a root. However, when the starting values are selected to be close to a root, the proposed method converges to the root quicker than the secant method. Another advantage over all iterative methods is that; the proposed method usually converges to two distinct roots when the given function has more than one root, that is, the odd iterations of this new technique converge to a root and the even iterations converge to another root. Some numerical examples, including a sine-polynomial equation, are solved by using the proposed method and compared with results obtained by the secant method; perfect agreements are found.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Iterative%20method" title="Iterative method">Iterative method</a>, <a href="https://publications.waset.org/search?q=root-finding%20method" title=" root-finding method"> root-finding method</a>, <a href="https://publications.waset.org/search?q=sine-polynomial%20equations" title=" sine-polynomial equations"> sine-polynomial equations</a>, <a href="https://publications.waset.org/search?q=nonlinear%20equations." title=" nonlinear equations."> nonlinear equations.</a> </p> <a href="https://publications.waset.org/2678/a-new-iterative-method-for-solving-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2678/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2678/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2678/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2678/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2678/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2678/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2678/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2678/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2678/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2678/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2678.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1693</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8076</span> On the Efficiency of Five Step Approximation Method for the Solution of General Third Order Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=N.%20M.%20Kamoh">N. M. Kamoh</a>, <a href="https://publications.waset.org/search?q=M.%20C.%20Soomiyol"> M. C. Soomiyol</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this work, a five step continuous method for the solution of third order ordinary differential equations was developed in block form using collocation and interpolation techniques of the shifted Legendre polynomial basis function. The method was found to be zero-stable, consistent and convergent. The application of the method in solving third order initial value problem of ordinary differential equations revealed that the method compared favorably with existing methods.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Shifted%20Legendre%20polynomials" title="Shifted Legendre polynomials">Shifted Legendre polynomials</a>, <a href="https://publications.waset.org/search?q=third%20order%20block%20method" title=" third order block method"> third order block method</a>, <a href="https://publications.waset.org/search?q=discrete%20method" title=" discrete method"> discrete method</a>, <a href="https://publications.waset.org/search?q=convergent." title=" convergent. "> convergent. </a> </p> <a href="https://publications.waset.org/10010422/on-the-efficiency-of-five-step-approximation-method-for-the-solution-of-general-third-order-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10010422/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10010422/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10010422/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10010422/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10010422/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10010422/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10010422/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10010422/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10010422/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10010422/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10010422.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">659</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8075</span> Application of Seismic Wave Method in Early Estimation of Wencheng Earthquake</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Wenlong%20Liu">Wenlong Liu</a>, <a href="https://publications.waset.org/search?q=Yucheng%20Liu"> Yucheng Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper introduces the application of seismic wave method in earthquake prediction and early estimation. The advantages of the seismic wave method over the traditional earthquake prediction method are demonstrated. An example is presented in this study to show the accuracy and efficiency of using the seismic wave method in predicting a medium-sized earthquake swarm occurred in Wencheng, Zhejiang, China. By applying this method, correct predictions were made on the day after this earthquake swarm started and the day the maximum earthquake occurred, which provided scientific bases for governmental decision-making.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=earthquake%20prediction" title="earthquake prediction">earthquake prediction</a>, <a href="https://publications.waset.org/search?q=earthquake%20swarm" title=" earthquake swarm"> earthquake swarm</a>, <a href="https://publications.waset.org/search?q=seismicactivity%20method" title=" seismicactivity method"> seismicactivity method</a>, <a href="https://publications.waset.org/search?q=seismic%20wave%20method" title=" seismic wave method"> seismic wave method</a>, <a href="https://publications.waset.org/search?q=Wencheng%20earthquake" title=" Wencheng earthquake"> Wencheng earthquake</a> </p> <a href="https://publications.waset.org/1299/application-of-seismic-wave-method-in-early-estimation-of-wencheng-earthquake" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1299/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1299/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1299/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1299/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1299/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1299/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1299/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1299/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1299/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1299/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1299.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1656</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8074</span> Analytical Solutions of Kortweg-de Vries(KdV) Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Foad%20Saadi">Foad Saadi</a>, <a href="https://publications.waset.org/search?q=M.%20Jalali%20Azizpour"> M. Jalali Azizpour</a>, <a href="https://publications.waset.org/search?q=S.A.%20Zahedi"> S.A. Zahedi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this paper is to present a comparative study of Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM) for the semi analytical solution of Kortweg-de Vries (KdV) type equation called KdV. The study have been highlighted the efficiency and capability of aforementioned methods in solving these nonlinear problems which has been arisen from a number of important physical phenomenon. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Variational%20Iteration%20Method%20%28VIM%29" title="Variational Iteration Method (VIM)">Variational Iteration Method (VIM)</a>, <a href="https://publications.waset.org/search?q=HomotopyPerturbation%20Method%20%28HPM%29" title=" HomotopyPerturbation Method (HPM)"> HomotopyPerturbation Method (HPM)</a>, <a href="https://publications.waset.org/search?q=Homotopy%20Analysis%20Method%20%28HAM%29" title=" Homotopy Analysis Method (HAM)"> Homotopy Analysis Method (HAM)</a>, <a href="https://publications.waset.org/search?q=KdV%20Equation." title="KdV Equation.">KdV Equation.</a> </p> <a href="https://publications.waset.org/14562/analytical-solutions-of-kortweg-de-vrieskdv-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14562/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14562/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14562/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14562/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14562/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14562/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14562/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14562/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14562/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14562/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14562.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2374</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8073</span> Some Results on Preconditioned Modified Accelerated Overrelaxation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Deyu%20Sun"> Deyu Sun</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present new preconditioned modified accelerated overrelaxation (MAOR) method for solving linear systems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned MAOR method converges faster than the MAOR method whenever the MAOR method is convergent. Finally, we give one numerical example to confirm our theoretical results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=preconditioned" title="preconditioned">preconditioned</a>, <a href="https://publications.waset.org/search?q=MAOR%20method" title=" MAOR method"> MAOR method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=convergence" title=" convergence"> convergence</a>, <a href="https://publications.waset.org/search?q=comparison." title=" comparison. "> comparison. </a> </p> <a href="https://publications.waset.org/9998079/some-results-on-preconditioned-modified-accelerated-overrelaxation-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998079/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998079/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998079/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998079/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998079/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998079/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998079/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998079/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998079/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998079/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998079.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1647</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8072</span> An Active Set Method in Image Inpainting</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Marrick%20Neri">Marrick Neri</a>, <a href="https://publications.waset.org/search?q=Esmeraldo%20Ronnie%20Rey%20Zara"> Esmeraldo Ronnie Rey Zara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we apply a semismooth active set method to image inpainting. The method exploits primal and dual features of a proposed regularized total variation model, following after the technique presented in [4]. Numerical results show that the method is fast and efficient in inpainting sufficiently thin domains.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Active%20set%20method" title="Active set method">Active set method</a>, <a href="https://publications.waset.org/search?q=image%20inpainting" title=" image inpainting"> image inpainting</a>, <a href="https://publications.waset.org/search?q=total%20variation%0D%0Amodel." title=" total variation model."> total variation model.</a> </p> <a href="https://publications.waset.org/13408/an-active-set-method-in-image-inpainting" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13408/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13408/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13408/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13408/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13408/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13408/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13408/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13408/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13408/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13408/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13408.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1815</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8071</span> Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fatemeh%20Panjeh%20Ali%20Beik">Fatemeh Panjeh Ali Beik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present work, we propose a new method for solving the matrix equation AXB=F . The new method can be considered as a generalized form of the well-known global full orthogonalization method (Gl-FOM) for solving multiple linear systems. Hence, the method will be called extended Gl-FOM (EGl- FOM). For implementing EGl-FOM, generalized forms of block Krylov subspace and global Arnoldi process are presented. Finally, some numerical experiments are given to illustrate the efficiency of our new method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Matrix%20equations" title="Matrix equations">Matrix equations</a>, <a href="https://publications.waset.org/search?q=Iterative%20methods" title=" Iterative methods"> Iterative methods</a>, <a href="https://publications.waset.org/search?q=Block%20Krylovsubspace%20methods." title=" Block Krylovsubspace methods."> Block Krylovsubspace methods.</a> </p> <a href="https://publications.waset.org/11185/extending-global-full-orthogonalization-method-for-solving-the-matrix-equation-axbf" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11185/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11185/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11185/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11185/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11185/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11185/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11185/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11185/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11185/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11185/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11185.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1993</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8070</span> Application of He鈥檚 Parameter-Expansion Method to a Coupled Van Der Pol oscillators with Two Kinds of Time-delay Coupling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohammad%20Taghi%20Darvishi">Mohammad Taghi Darvishi</a>, <a href="https://publications.waset.org/search?q=Samad%20Kheybari"> Samad Kheybari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the dynamics of a system of two van der Pol oscillators with delayed position and velocity is studied. We provide an approximate solution for this system using parameterexpansion method. Also, we obtain approximate values for frequencies of the system. The parameter-expansion method is more efficient than the perturbation method for this system because the method is independent of perturbation parameter assumption.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Parameter-expansion%20method" title="Parameter-expansion method">Parameter-expansion method</a>, <a href="https://publications.waset.org/search?q=coupled%20van%20der%20pol%20oscillator" title=" coupled van der pol oscillator"> coupled van der pol oscillator</a>, <a href="https://publications.waset.org/search?q=time-delay%20system." title=" time-delay system."> time-delay system.</a> </p> <a href="https://publications.waset.org/7039/application-of-hes-parameter-expansion-method-to-a-coupled-van-der-pol-oscillators-with-two-kinds-of-time-delay-coupling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7039/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7039/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7039/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7039/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7039/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7039/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7039/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7039/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7039/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7039/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7039.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1378</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8069</span> Mathematical Reconstruction of an Object Image Using X-Ray Interferometric Fourier Holography Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20K.%20Balyan">M. K. Balyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The main principles of X-ray Fourier interferometric holography method are discussed. The object image is reconstructed by the mathematical method of Fourier transformation. The three methods are presented &ndash; method of approximation, iteration method and step by step method. As an example the complex amplitude transmission coefficient reconstruction of a beryllium wire is considered. The results reconstructed by three presented methods are compared. The best results are obtained by means of step by step method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Dynamical%20diffraction" title="Dynamical diffraction">Dynamical diffraction</a>, <a href="https://publications.waset.org/search?q=hologram" title=" hologram"> hologram</a>, <a href="https://publications.waset.org/search?q=object%20image" title=" object image"> object image</a>, <a href="https://publications.waset.org/search?q=X-ray%20holography." title=" X-ray holography. "> X-ray holography. </a> </p> <a href="https://publications.waset.org/10005585/mathematical-reconstruction-of-an-object-image-using-x-ray-interferometric-fourier-holography-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005585/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005585/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005585/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005585/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005585/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005585/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005585/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005585/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005585/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005585/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005585.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1426</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8068</span> Steepest Descent Method with New Step Sizes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Bib%20Paruhum%20Silalahi">Bib Paruhum Silalahi</a>, <a href="https://publications.waset.org/search?q=Djihad%20Wungguli"> Djihad Wungguli</a>, <a href="https://publications.waset.org/search?q=Sugi%20Guritman"> Sugi Guritman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Steepest descent method is a simple gradient method for optimization. This method has a slow convergence in heading to the optimal solution, which occurs because of the zigzag form of the steps. Barzilai and Borwein modified this algorithm so that it performs well for problems with large dimensions. Barzilai and Borwein method results have sparked a lot of research on the method of steepest descent, including alternate minimization gradient method and Yuan method. Inspired by previous works, we modified the step size of the steepest descent method. We then compare the modification results against the Barzilai and Borwein method, alternate minimization gradient method and Yuan method for quadratic function cases in terms of the iterations number and the running time. The average results indicate that the steepest descent method with the new step sizes provide good results for small dimensions and able to compete with the results of Barzilai and Borwein method and the alternate minimization gradient method for large dimensions. The new step sizes have faster convergence compared to the other methods, especially for cases with large dimensions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Convergence" title="Convergence">Convergence</a>, <a href="https://publications.waset.org/search?q=iteration" title=" iteration"> iteration</a>, <a href="https://publications.waset.org/search?q=line%20search" title=" line search"> line search</a>, <a href="https://publications.waset.org/search?q=running%20time" title=" running time"> running time</a>, <a href="https://publications.waset.org/search?q=steepest%20descent" title=" steepest descent"> steepest descent</a>, <a href="https://publications.waset.org/search?q=unconstrained%20optimization." title=" unconstrained optimization."> unconstrained optimization.</a> </p> <a href="https://publications.waset.org/10002037/steepest-descent-method-with-new-step-sizes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002037/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002037/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002037/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002037/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002037/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002037/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002037/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002037/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002037/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002037/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002037.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3160</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8067</span> Calculation of Heating Load for an Apartment Complex with Unit Building Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ju-Seok%20Kim">Ju-Seok Kim</a>, <a href="https://publications.waset.org/search?q=Sun-Ae%20Moon"> Sun-Ae Moon</a>, <a href="https://publications.waset.org/search?q=Tae-Gu%20Lee"> Tae-Gu Lee</a>, <a href="https://publications.waset.org/search?q=Seung-Jae%20Moon"> Seung-Jae Moon</a>, <a href="https://publications.waset.org/search?q=Jae-Heon%20Lee"> Jae-Heon Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As a simple to method estimate the plant heating energy capacity of an apartment complex, a new load calculation method has been proposed. The method which can be called as unit building method, predicts the heating load of the entire complex instead of summing up that of each apartment belonging to complex. Comparison of the unit heating load for various floor sizes between the present method and conventional approach shows a close agreement with dynamic load calculation code. Some additional calculations are performed to demonstrate it-s application examples. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Unit%20Building%20Method" title="Unit Building Method">Unit Building Method</a>, <a href="https://publications.waset.org/search?q=Unit%20Heating%20Load" title=" Unit Heating Load"> Unit Heating Load</a>, <a href="https://publications.waset.org/search?q=TFMLoad." title="TFMLoad.">TFMLoad.</a> </p> <a href="https://publications.waset.org/8561/calculation-of-heating-load-for-an-apartment-complex-with-unit-building-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8561/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8561/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8561/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8561/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8561/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8561/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8561/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8561/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8561/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8561/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8561.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3438</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8066</span> New Laguerre-s Type Method for Solving of a Polynomial Equations Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Oleksandr%20Poliakov">Oleksandr Poliakov</a>, <a href="https://publications.waset.org/search?q=Yevgen%20Pashkov"> Yevgen Pashkov</a>, <a href="https://publications.waset.org/search?q=Marina%20Kolesova"> Marina Kolesova</a>, <a href="https://publications.waset.org/search?q=Olena%20Chepenyuk"> Olena Chepenyuk</a>, <a href="https://publications.waset.org/search?q=Mykhaylo%20Kalinin"> Mykhaylo Kalinin</a>, <a href="https://publications.waset.org/search?q=Vadym%20Kramar"> Vadym Kramar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we present a substantiation of a new Laguerre-s type iterative method for solving of a nonlinear polynomial equations systems with real coefficients. The problems of its implementation, including relating to the structural choice of initial approximations, were considered. Test examples demonstrate the effectiveness of the method at the solving of many practical problems solving. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Iterative%20method" title="Iterative method">Iterative method</a>, <a href="https://publications.waset.org/search?q=Laguerre%27s%20method" title=" Laguerre&#039;s method"> Laguerre&#039;s method</a>, <a href="https://publications.waset.org/search?q=Newton%27s%0Amethod" title=" Newton&#039;s method"> Newton&#039;s method</a>, <a href="https://publications.waset.org/search?q=polynomial%20equation" title=" polynomial equation"> polynomial equation</a>, <a href="https://publications.waset.org/search?q=system%20of%20equations" title=" system of equations"> system of equations</a> </p> <a href="https://publications.waset.org/15431/new-laguerre-s-type-method-for-solving-of-a-polynomial-equations-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15431/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15431/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15431/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15431/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15431/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15431/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15431/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15431/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15431/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15431/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15431.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1489</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8065</span> A New Preconditioned AOR Method for Z-matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Ning%20Zhang"> Ning Zhang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present a preconditioned AOR-type iterative method for solving the linear systems Ax = b, where A is a Z-matrix. And give some comparison theorems to show that the rate of convergence of the preconditioned AOR-type iterative method is faster than the rate of convergence of the AOR-type iterative method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Z-matrix" title="Z-matrix">Z-matrix</a>, <a href="https://publications.waset.org/search?q=AOR-type%20iterative%20method" title=" AOR-type iterative method"> AOR-type iterative method</a>, <a href="https://publications.waset.org/search?q=precondition" title=" precondition"> precondition</a>, <a href="https://publications.waset.org/search?q=comparison." title=" comparison."> comparison.</a> </p> <a href="https://publications.waset.org/6940/a-new-preconditioned-aor-method-for-z-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6940/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6940/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6940/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6940/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6940/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6940/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6940/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6940/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6940/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6940/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6940.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1554</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8064</span> A Family of Improved Secant-Like Method with Super-Linear Convergence</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Liang%20Chen">Liang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A family of improved secant-like method is proposed&nbsp;in this paper. Further, the analysis of the convergence shows that this&nbsp;method has super-linear convergence. Efficiency are demonstrated by&nbsp;numerical experiments when the choice of &alpha; is correct.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Nonlinear%20equations" title="Nonlinear equations">Nonlinear equations</a>, <a href="https://publications.waset.org/search?q=Secant%20method" title=" Secant method"> Secant method</a>, <a href="https://publications.waset.org/search?q=Convergence%20order" title=" Convergence order"> Convergence order</a>, <a href="https://publications.waset.org/search?q=Secant-like%20method." title=" Secant-like method."> Secant-like method.</a> </p> <a href="https://publications.waset.org/16782/a-family-of-improved-secant-like-method-with-super-linear-convergence" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16782/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16782/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16782/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16782/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16782/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16782/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16782/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16782/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16782/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16782/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16782.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2046</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8063</span> New Newton&#039;s Method with Third-order Convergence for Solving Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Osama%20Yusuf%20Ababneh">Osama Yusuf Ababneh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>For the last years, the variants of the Newton-s method with cubic convergence have become popular iterative methods to find approximate solutions to the roots of non-linear equations. These methods both enjoy cubic convergence at simple roots and do not require the evaluation of second order derivatives. In this paper, we present a new Newton-s method based on contra harmonic mean with cubically convergent. Numerical examples show that the new method can compete with the classical Newton&#39;s method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Third-order%20convergence" title="Third-order convergence">Third-order convergence</a>, <a href="https://publications.waset.org/search?q=non-linear%20equations" title=" non-linear equations"> non-linear equations</a>, <a href="https://publications.waset.org/search?q=root%20finding" title=" root finding"> root finding</a>, <a href="https://publications.waset.org/search?q=iterative%20method." title=" iterative method."> iterative method.</a> </p> <a href="https://publications.waset.org/13005/new-newtons-method-with-third-order-convergence-for-solving-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13005/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13005/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13005/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13005/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13005/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13005/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13005/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13005/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13005/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13005/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13005.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2964</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8062</span> Improved IDR(s) Method for Gaining Very Accurate Solutions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yusuke%20Onoue">Yusuke Onoue</a>, <a href="https://publications.waset.org/search?q=Seiji%20Fujino"> Seiji Fujino</a>, <a href="https://publications.waset.org/search?q=Norimasa%20Nakashima"> Norimasa Nakashima</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The IDR(s) method based on an extended IDR theorem was proposed by Sonneveld and van Gijzen. The original IDR(s) method has excellent property compared with the conventional iterative methods in terms of efficiency and small amount of memory. IDR(s) method, however, has unexpected property that relative residual 2-norm stagnates at the level of less than 10-12. In this paper, an effective strategy for stagnation detection, stagnation avoidance using adaptively information of parameter s and improvement of convergence rate itself of IDR(s) method are proposed in order to gain high accuracy of the approximated solution of IDR(s) method. Through numerical experiments, effectiveness of adaptive tuning IDR(s) method is verified and demonstrated.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Krylov%20subspace%20methods" title="Krylov subspace methods">Krylov subspace methods</a>, <a href="https://publications.waset.org/search?q=IDR%28s%29" title=" IDR(s)"> IDR(s)</a>, <a href="https://publications.waset.org/search?q=adaptive%20tuning" title=" adaptive tuning"> adaptive tuning</a>, <a href="https://publications.waset.org/search?q=stagnation%20of%20relative%20residual." title=" stagnation of relative residual."> stagnation of relative residual.</a> </p> <a href="https://publications.waset.org/6349/improved-idrs-method-for-gaining-very-accurate-solutions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6349/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6349/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6349/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6349/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6349/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6349/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6349/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6349/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6349/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6349/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6349.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1473</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8061</span> Denosing ECG using Translation Invariant Multiwavelet</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jeong%20Yup%20Han">Jeong Yup Han</a>, <a href="https://publications.waset.org/search?q=Su%20Kyung%20Lee"> Su Kyung Lee</a>, <a href="https://publications.waset.org/search?q=Hong%20Bae%20Park"> Hong Bae Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we propose a method to reduce the various kinds of noise while gathering and recording the electrocardiogram (ECG) signal. Because of the defects of former method in the noise elimination of ECG signal, we use translation invariant (TI) multiwavelet denoising method to the noise elimination. The advantage of the proposed method is that it may not only remain the geometrical characteristics of the original ECG signal and keep the amplitudes of various ECG waveforms efficiently, but also suppress impulsive noise to some extent. The simulation results indicate that the proposed method are better than former removing noise method in aspects of remaining geometrical characteristics of ECG signal and the signal-to-noise ratio (SNR). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=ECG" title="ECG">ECG</a>, <a href="https://publications.waset.org/search?q=TI%20multiwavelet" title=" TI multiwavelet"> TI multiwavelet</a>, <a href="https://publications.waset.org/search?q=denoise." title=" denoise."> denoise.</a> </p> <a href="https://publications.waset.org/1085/denosing-ecg-using-translation-invariant-multiwavelet" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1085/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1085/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1085/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1085/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1085/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1085/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1085/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1085/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1085/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1085/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1085.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1768</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8060</span> Direct Method for Converting FIR Filter with Low Nonzero Tap into IIR Filter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jeong%20Hye%20Moon">Jeong Hye Moon</a>, <a href="https://publications.waset.org/search?q=Byung%20Hoon%20Kang"> Byung Hoon Kang</a>, <a href="https://publications.waset.org/search?q=PooGyeon%20Park"> PooGyeon Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we proposed the direct method for converting Finite-Impulse Response (FIR) filter with low nonzero tap into Infinite-Impulse Response (IIR) filter using the pre-determined table. The prony method is used by ghost cancellator which is IIR approximation to FIR filter which is better performance than IIR and have much larger calculation difference. The direct method for many ghost combination with low nonzero tap of NTSC(National Television System Committee) TV signal in Korea is described. The proposed method is illustrated with an example. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=NTSC" title="NTSC">NTSC</a>, <a href="https://publications.waset.org/search?q=Ghost%20cancellation" title=" Ghost cancellation"> Ghost cancellation</a>, <a href="https://publications.waset.org/search?q=FIR" title=" FIR"> FIR</a>, <a href="https://publications.waset.org/search?q=IIR" title=" IIR"> IIR</a>, <a href="https://publications.waset.org/search?q=Prony%20method." title=" Prony method."> Prony method.</a> </p> <a href="https://publications.waset.org/8802/direct-method-for-converting-fir-filter-with-low-nonzero-tap-into-iir-filter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8802/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8802/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8802/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8802/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8802/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8802/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8802/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8802/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8802/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8802/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8802.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3147</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8059</span> Wavelet Based Identification of Second Order Linear System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sudipta%20Majumdar">Sudipta Majumdar</a>, <a href="https://publications.waset.org/search?q=Harish%20Parthasarathy"> Harish Parthasarathy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a wavelet based method is proposed to identify the constant coefficients of a second order linear system and is compared with the least squares method. The proposed method shows improved accuracy of parameter estimation as compared to the least squares method. Additionally, it has the advantage of smaller data requirement and storage requirement as compared to the least squares method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Least%20squares%20method" title="Least squares method">Least squares method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=system%20identification" title=" system identification"> system identification</a>, <a href="https://publications.waset.org/search?q=wavelet%20transform." title=" wavelet transform."> wavelet transform.</a> </p> <a href="https://publications.waset.org/9668/wavelet-based-identification-of-second-order-linear-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9668/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9668/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9668/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9668/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9668/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9668/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9668/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9668/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9668/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9668/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9668.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1575</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8058</span> Note to the Global GMRES for Solving the Matrix Equation AXB = F</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fatemeh%20Panjeh%20Ali%20Beik">Fatemeh Panjeh Ali Beik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the present work, we propose a new projection method for solving the matrix equation AXB = F. For implementing our new method, generalized forms of block Krylov subspace and global Arnoldi process are presented. The new method can be considered as an extended form of the well-known global generalized minimum residual (Gl-GMRES) method for solving multiple linear systems and it will be called as the extended Gl-GMRES (EGl- GMRES). Some new theoretical results have been established for proposed method by employing Schur complement. Finally, some numerical results are given to illustrate the efficiency of our new method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Matrix%20equation" title="Matrix equation">Matrix equation</a>, <a href="https://publications.waset.org/search?q=Iterative%20method" title=" Iterative method"> Iterative method</a>, <a href="https://publications.waset.org/search?q=linear%20systems" title=" linear systems"> linear systems</a>, <a href="https://publications.waset.org/search?q=block%20Krylov%20subspace%20method" title=" block Krylov subspace method"> block Krylov subspace method</a>, <a href="https://publications.waset.org/search?q=global%20generalized%20minimum%20residual%20%28Gl-GMRES%29." title=" global generalized minimum residual (Gl-GMRES)."> global generalized minimum residual (Gl-GMRES).</a> </p> <a href="https://publications.waset.org/8404/note-to-the-global-gmres-for-solving-the-matrix-equation-axb-f" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8404/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8404/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8404/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8404/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8404/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8404/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8404/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8404/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8404/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8404/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8404.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1840</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8057</span> Direct Transient Stability Assessment of Stressed Power Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=E.%20Popov">E. Popov</a>, <a href="https://publications.waset.org/search?q=N.%20Yorino"> N. Yorino</a>, <a href="https://publications.waset.org/search?q=Y.%20Zoka"> Y. Zoka</a>, <a href="https://publications.waset.org/search?q=Y.%20Sasaki"> Y. Sasaki</a>, <a href="https://publications.waset.org/search?q=H.%20Sugihara"> H. Sugihara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper discusses the performance of critical trajectory method (CTrj) for power system transient stability analysis under various loading settings and heavy fault condition. The method obtains Controlling Unstable Equilibrium Point (CUEP) which is essential for estimation of power system stability margins. The CUEP is computed by applying the CTrjto the boundary controlling unstable equilibrium point (BCU) method. The Proposed method computes a trajectory on the stability boundary that starts from the exit point and reaches CUEP under certain assumptions. The robustness and effectiveness of the method are demonstrated via six power system models and five loading conditions. As benchmark is used conventional simulation method whereas the performance is compared with and BCU Shadowing method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Power%20system" title="Power system">Power system</a>, <a href="https://publications.waset.org/search?q=Transient%20stability" title=" Transient stability"> Transient stability</a>, <a href="https://publications.waset.org/search?q=Critical%20trajectory%0D%0Amethod" title=" Critical trajectory method"> Critical trajectory method</a>, <a href="https://publications.waset.org/search?q=Energy%20function%20method." title=" Energy function method."> Energy function method.</a> </p> <a href="https://publications.waset.org/9998524/direct-transient-stability-assessment-of-stressed-power-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998524/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a 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