Numerical Analysis Mar 2025

<!DOCTYPE html> <html lang="en"> <head> <title>Numerical Analysis Mar 2025</title> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="apple-touch-icon" sizes="180x180" href="/static/browse/0.3.4/images/icons/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/static/browse/0.3.4/images/icons/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/static/browse/0.3.4/images/icons/favicon-16x16.png"> <link rel="manifest" href="/static/browse/0.3.4/images/icons/site.webmanifest"> <link rel="mask-icon" href="/static/browse/0.3.4/images/icons/safari-pinned-tab.svg" color="#5bbad5"> <meta name="msapplication-TileColor" content="#da532c"> <meta name="theme-color" content="#ffffff"> <link rel="stylesheet" type="text/css" media="screen" href="/static/browse/0.3.4/css/arXiv.css?v=20241206" /> <link rel="stylesheet" type="text/css" media="print" href="/static/browse/0.3.4/css/arXiv-print.css?v=20200611" /> <link 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page: <a href=/list/math.NA/current?skip=0&show=25 rel="nofollow"> fewer</a> | <a href=/list/math.NA/current?skip=0&show=100 rel="nofollow"> more</a> | <a href=/list/math.NA/current?skip=0&show=2000 rel="nofollow"> all</a> </div> <dl id='articles'> <dt> <a name='item1'>[1]</a> <a href ="/abs/2503.00146" title="Abstract" id="2503.00146"> arXiv:2503.00146 </a> [<a href="/pdf/2503.00146" title="Download PDF" id="pdf-2503.00146" aria-labelledby="pdf-2503.00146">pdf</a>, <a href="https://arxiv.org/html/2503.00146v1" title="View HTML" id="html-2503.00146" aria-labelledby="html-2503.00146" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00146" title="Other formats" id="oth-2503.00146" aria-labelledby="oth-2503.00146">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Alshehri,+N">Najwa Alshehri</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Boffi,+D">Daniele Boffi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Chaoveeraprasit,+C">Chayapol Chaoveeraprasit</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2503.00246" title="Abstract" id="2503.00246"> arXiv:2503.00246 </a> [<a href="/pdf/2503.00246" title="Download PDF" id="pdf-2503.00246" aria-labelledby="pdf-2503.00246">pdf</a>, <a href="/format/2503.00246" title="Other formats" id="oth-2503.00246" aria-labelledby="oth-2503.00246">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Matrix-Free Ghost Penalty Evaluation via Tensor Product Factorization </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wichrowski,+M">Micha艂 Wichrowski</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2503.00405" title="Abstract" id="2503.00405"> arXiv:2503.00405 </a> [<a href="/pdf/2503.00405" title="Download PDF" id="pdf-2503.00405" aria-labelledby="pdf-2503.00405">pdf</a>, <a href="https://arxiv.org/html/2503.00405v1" title="View HTML" id="html-2503.00405" aria-labelledby="html-2503.00405" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00405" title="Other formats" id="oth-2503.00405" aria-labelledby="oth-2503.00405">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Yang,+F">Fan Yang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Dong,+H">Haiyun Dong</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Li,+M">Maojun Li</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+K">Kun Wang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2503.00418" title="Abstract" id="2503.00418"> arXiv:2503.00418 </a> [<a href="/pdf/2503.00418" title="Download PDF" id="pdf-2503.00418" aria-labelledby="pdf-2503.00418">pdf</a>, <a href="https://arxiv.org/html/2503.00418v2" title="View HTML" id="html-2503.00418" aria-labelledby="html-2503.00418" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00418" title="Other formats" id="oth-2503.00418" aria-labelledby="oth-2503.00418">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A nodally bound-preserving finite element method for time-dependent convection-diffusion equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Amiri,+A">Abdolreza Amiri</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Barrenechea,+G+R">Gabriel R. Barrenechea</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pryer,+T">Tristan Pryer</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2503.00423" title="Abstract" id="2503.00423"> arXiv:2503.00423 </a> [<a href="/pdf/2503.00423" title="Download PDF" id="pdf-2503.00423" aria-labelledby="pdf-2503.00423">pdf</a>, <a href="https://arxiv.org/html/2503.00423v1" title="View HTML" id="html-2503.00423" aria-labelledby="html-2503.00423" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00423" title="Other formats" id="oth-2503.00423" aria-labelledby="oth-2503.00423">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ito,+K">Kazufumi Ito</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Jin,+B">Bangti Jin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+F">Fengru Wang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zou,+J">Jun Zou</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2503.00425" title="Abstract" id="2503.00425"> arXiv:2503.00425 </a> [<a href="/pdf/2503.00425" title="Download PDF" id="pdf-2503.00425" aria-labelledby="pdf-2503.00425">pdf</a>, <a href="https://arxiv.org/html/2503.00425v1" title="View HTML" id="html-2503.00425" aria-labelledby="html-2503.00425" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00425" title="Other formats" id="oth-2503.00425" aria-labelledby="oth-2503.00425">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> From Finite Elements to Hybrid High-Order methods </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Di+Pietro,+D+A">Daniele A. Di Pietro</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Droniou,+J">J茅r么me Droniou</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Lecture notes of a PhD course given by Daniele Di Pietro at Scuola Superiore Meridionale (Napoli) from February, 25 to February, 28 2025 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2503.00553" title="Abstract" id="2503.00553"> arXiv:2503.00553 </a> [<a href="/pdf/2503.00553" title="Download PDF" id="pdf-2503.00553" aria-labelledby="pdf-2503.00553">pdf</a>, <a href="https://arxiv.org/html/2503.00553v1" title="View HTML" id="html-2503.00553" aria-labelledby="html-2503.00553" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00553" title="Other formats" id="oth-2503.00553" aria-labelledby="oth-2503.00553">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Structure-preserving nodal DG method for the Euler equations with gravity: well-balanced, entropy stable, and positivity preserving </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+Y">Yuchang Liu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Guo,+W">Wei Guo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Jiang,+Y">Yan Jiang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+M">Mengping Zhang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2503.00556" title="Abstract" id="2503.00556"> arXiv:2503.00556 </a> [<a href="/pdf/2503.00556" title="Download PDF" id="pdf-2503.00556" aria-labelledby="pdf-2503.00556">pdf</a>, <a href="https://arxiv.org/html/2503.00556v1" title="View HTML" id="html-2503.00556" aria-labelledby="html-2503.00556" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00556" title="Other formats" id="oth-2503.00556" aria-labelledby="oth-2503.00556">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A counterexample to convergence for multiscale decompositions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rebegoldi,+S">Simone Rebegoldi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rondi,+L">Luca Rondi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> in A. Hasanov Hasano\u{g}lu, R. Novikov and K. Van Bockstal eds, Inverse Problems: Modelling and Simulation (Extended Abstracts of the IPMS Conference 2024), Birkh\"auser, 2025 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2503.00633" title="Abstract" id="2503.00633"> arXiv:2503.00633 </a> [<a href="/pdf/2503.00633" title="Download PDF" id="pdf-2503.00633" aria-labelledby="pdf-2503.00633">pdf</a>, <a href="https://arxiv.org/html/2503.00633v1" title="View HTML" id="html-2503.00633" aria-labelledby="html-2503.00633" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00633" title="Other formats" id="oth-2503.00633" aria-labelledby="oth-2503.00633">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Splitting algorithms for paraxial and It么-Schr枚dinger models of wave propagation in random media </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bal,+G">Guillaume Bal</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nair,+A">Anjali Nair</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Probability (math.PR) </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2503.00698" title="Abstract" id="2503.00698"> arXiv:2503.00698 </a> [<a href="/pdf/2503.00698" title="Download PDF" id="pdf-2503.00698" aria-labelledby="pdf-2503.00698">pdf</a>, <a href="https://arxiv.org/html/2503.00698v1" title="View HTML" id="html-2503.00698" aria-labelledby="html-2503.00698" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00698" title="Other formats" id="oth-2503.00698" aria-labelledby="oth-2503.00698">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Deep Univariate Polynomial and Conformal Approximation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wei,+Z">Zhen Wei</a> (Kingsley)<a href="https://arxiv.org/search/math?searchtype=author&query=Yeon">Yeon</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item11'>[11]</a> <a href ="/abs/2503.00768" title="Abstract" id="2503.00768"> arXiv:2503.00768 </a> [<a href="/pdf/2503.00768" title="Download PDF" id="pdf-2503.00768" aria-labelledby="pdf-2503.00768">pdf</a>, <a href="https://arxiv.org/html/2503.00768v2" title="View HTML" id="html-2503.00768" aria-labelledby="html-2503.00768" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00768" title="Other formats" id="oth-2503.00768" aria-labelledby="oth-2503.00768">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Nonlinear Model Reduction by Probabilistic Manifold Decomposition </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Guo,+J">Jiaming Guo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Xiao,+D">Dunhui Xiao</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 22pages, 64figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2503.00827" title="Abstract" id="2503.00827"> arXiv:2503.00827 </a> [<a href="/pdf/2503.00827" title="Download PDF" id="pdf-2503.00827" aria-labelledby="pdf-2503.00827">pdf</a>, <a href="https://arxiv.org/html/2503.00827v1" title="View HTML" id="html-2503.00827" aria-labelledby="html-2503.00827" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00827" title="Other formats" id="oth-2503.00827" aria-labelledby="oth-2503.00827">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the optimality of convergence conditions for multiscale decompositions in imaging and inverse problems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rebegoldi,+S">Simone Rebegoldi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rondi,+L">Luca Rondi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 34 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2503.00934" title="Abstract" id="2503.00934"> arXiv:2503.00934 </a> [<a href="/pdf/2503.00934" title="Download PDF" id="pdf-2503.00934" aria-labelledby="pdf-2503.00934">pdf</a>, <a href="https://arxiv.org/html/2503.00934v2" title="View HTML" id="html-2503.00934" aria-labelledby="html-2503.00934" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00934" title="Other formats" id="oth-2503.00934" aria-labelledby="oth-2503.00934">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Li,+M">Meng Li</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+N">Nan Wang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhao,+R">Ruofan Zhao</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhou,+C">Chunjie Zhou</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2503.00963" title="Abstract" id="2503.00963"> arXiv:2503.00963 </a> [<a href="/pdf/2503.00963" title="Download PDF" id="pdf-2503.00963" aria-labelledby="pdf-2503.00963">pdf</a>, <a href="https://arxiv.org/html/2503.00963v1" title="View HTML" id="html-2503.00963" aria-labelledby="html-2503.00963" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00963" title="Other formats" id="oth-2503.00963" aria-labelledby="oth-2503.00963">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Mohammadi,+M">Maryam Mohammadi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sommariva,+A">Alvise Sommariva</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Vianello,+M">Marco Vianello</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2503.00989" title="Abstract" id="2503.00989"> arXiv:2503.00989 </a> [<a href="/pdf/2503.00989" title="Download PDF" id="pdf-2503.00989" aria-labelledby="pdf-2503.00989">pdf</a>, <a href="https://arxiv.org/html/2503.00989v1" title="View HTML" id="html-2503.00989" aria-labelledby="html-2503.00989" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.00989" title="Other formats" id="oth-2503.00989" aria-labelledby="oth-2503.00989">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A four-field mixed formulation for incompressible finite elasticity </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Fu,+G">Guosheng Fu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Neunteufel,+M">Michael Neunteufel</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sch%C3%B6berl,+J">Joachim Sch枚berl</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zdunek,+A">Adam Zdunek</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2503.01010" title="Abstract" id="2503.01010"> arXiv:2503.01010 </a> [<a href="/pdf/2503.01010" title="Download PDF" id="pdf-2503.01010" aria-labelledby="pdf-2503.01010">pdf</a>, <a href="https://arxiv.org/html/2503.01010v1" title="View HTML" id="html-2503.01010" aria-labelledby="html-2503.01010" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01010" title="Other formats" id="oth-2503.01010" aria-labelledby="oth-2503.01010">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Coupled general Riemann problems for the Euler equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Du,+Z">Zhifang Du</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sikstel,+A">Aleksey Sikstel</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item17'>[17]</a> <a href ="/abs/2503.01057" title="Abstract" id="2503.01057"> arXiv:2503.01057 </a> [<a href="/pdf/2503.01057" title="Download PDF" id="pdf-2503.01057" aria-labelledby="pdf-2503.01057">pdf</a>, <a href="https://arxiv.org/html/2503.01057v1" title="View HTML" id="html-2503.01057" aria-labelledby="html-2503.01057" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01057" title="Other formats" id="oth-2503.01057" aria-labelledby="oth-2503.01057">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Sparse Randomized Approximation of Normal Cycles </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Paul,+A">Allen Paul</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Campbell,+N">Neill Campbell</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Shardlow,+T">Tony Shardlow</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item18'>[18]</a> <a href ="/abs/2503.01239" title="Abstract" id="2503.01239"> arXiv:2503.01239 </a> [<a href="/pdf/2503.01239" title="Download PDF" id="pdf-2503.01239" aria-labelledby="pdf-2503.01239">pdf</a>, <a href="https://arxiv.org/html/2503.01239v1" title="View HTML" id="html-2503.01239" aria-labelledby="html-2503.01239" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01239" title="Other formats" id="oth-2503.01239" aria-labelledby="oth-2503.01239">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Structure-preserving and thermodynamically consistent finite element discretization for visco-resistive MHD with thermoelectric effect </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Gawlik,+E+S">Evan S. Gawlik</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gay-Balmaz,+F">Fran莽ois Gay-Balmaz</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Manach-P%C3%A9rennou,+B">Bastien Manach-P茅rennou</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item19'>[19]</a> <a href ="/abs/2503.01276" title="Abstract" id="2503.01276"> arXiv:2503.01276 </a> [<a href="/pdf/2503.01276" title="Download PDF" id="pdf-2503.01276" aria-labelledby="pdf-2503.01276">pdf</a>, <a href="https://arxiv.org/html/2503.01276v2" title="View HTML" id="html-2503.01276" aria-labelledby="html-2503.01276" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01276" title="Other formats" id="oth-2503.01276" aria-labelledby="oth-2503.01276">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A hierarchical approach for multicontinuum homogenization in high contrast media </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Xie,+W">Wei Xie</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Hoang,+V+H">Viet Ha Hoang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yang,+Y">Yin Yang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Huang,+Y">Yunqing Huang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2503.01420" title="Abstract" id="2503.01420"> arXiv:2503.01420 </a> [<a href="/pdf/2503.01420" title="Download PDF" id="pdf-2503.01420" aria-labelledby="pdf-2503.01420">pdf</a>, <a href="https://arxiv.org/html/2503.01420v1" title="View HTML" id="html-2503.01420" aria-labelledby="html-2503.01420" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01420" title="Other formats" id="oth-2503.01420" aria-labelledby="oth-2503.01420">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> New finite volume element schemes based on a two-layer dual strategy </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Huang,+W">Weizhang Huang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+X">Xiang Wang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+X">Xinyuan Zhang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2503.01426" title="Abstract" id="2503.01426"> arXiv:2503.01426 </a> [<a href="/pdf/2503.01426" title="Download PDF" id="pdf-2503.01426" aria-labelledby="pdf-2503.01426">pdf</a>, <a href="https://arxiv.org/html/2503.01426v1" title="View HTML" id="html-2503.01426" aria-labelledby="html-2503.01426" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01426" title="Other formats" id="oth-2503.01426" aria-labelledby="oth-2503.01426">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A novel multipoint stress control volume method for linear elasticity on quadrilateral grids </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Fu,+S">Shubin Fu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhao,+L">Lina Zhao</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 28 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item22'>[22]</a> <a href ="/abs/2503.01427" title="Abstract" id="2503.01427"> arXiv:2503.01427 </a> [<a href="/pdf/2503.01427" title="Download PDF" id="pdf-2503.01427" aria-labelledby="pdf-2503.01427">pdf</a>, <a href="https://arxiv.org/html/2503.01427v1" title="View HTML" id="html-2503.01427" aria-labelledby="html-2503.01427" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01427" title="Other formats" id="oth-2503.01427" aria-labelledby="oth-2503.01427">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Huang,+X">Xueling Huang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Goubet,+O">Olivier Goubet</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Shen,+J">Jie Shen</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2503.01540" title="Abstract" id="2503.01540"> arXiv:2503.01540 </a> [<a href="/pdf/2503.01540" title="Download PDF" id="pdf-2503.01540" aria-labelledby="pdf-2503.01540">pdf</a>, <a href="https://arxiv.org/html/2503.01540v1" title="View HTML" id="html-2503.01540" aria-labelledby="html-2503.01540" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01540" title="Other formats" id="oth-2503.01540" aria-labelledby="oth-2503.01540">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Stochastic conformal integrators for linearly damped stochastic Poisson systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Br%C3%A9hier,+C">Charles-Edouard Br茅hier</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Cohen,+D">David Cohen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Komori,+Y">Yoshio Komori</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Probability (math.PR) </div> </div> </dd> <dt> <a name='item24'>[24]</a> <a href ="/abs/2503.01587" title="Abstract" id="2503.01587"> arXiv:2503.01587 </a> [<a href="/pdf/2503.01587" title="Download PDF" id="pdf-2503.01587" aria-labelledby="pdf-2503.01587">pdf</a>, <a href="https://arxiv.org/html/2503.01587v1" title="View HTML" id="html-2503.01587" aria-labelledby="html-2503.01587" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01587" title="Other formats" id="oth-2503.01587" aria-labelledby="oth-2503.01587">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The State-Dependent Riccati Equation in Nonlinear Optimal Control: Analysis, Error Estimation and Numerical Approximation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Saluzzi,+L">Luca Saluzzi</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Optimization and Control (math.OC) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2503.01596" title="Abstract" id="2503.01596"> arXiv:2503.01596 </a> [<a href="/pdf/2503.01596" title="Download PDF" id="pdf-2503.01596" aria-labelledby="pdf-2503.01596">pdf</a>, <a href="https://arxiv.org/html/2503.01596v1" title="View HTML" id="html-2503.01596" aria-labelledby="html-2503.01596" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01596" title="Other formats" id="oth-2503.01596" aria-labelledby="oth-2503.01596">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Neural-Enhanced Born Approximation for Inverse Scattering </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Desai,+A">Ansh Desai</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lahivaara,+T">Timo Lahivaara</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Monk,+P">Peter Monk</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 24 pages, 13 figures. To be published </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2503.01618" title="Abstract" id="2503.01618"> arXiv:2503.01618 </a> [<a href="/pdf/2503.01618" title="Download PDF" id="pdf-2503.01618" aria-labelledby="pdf-2503.01618">pdf</a>, <a href="https://arxiv.org/html/2503.01618v1" title="View HTML" id="html-2503.01618" aria-labelledby="html-2503.01618" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01618" title="Other formats" id="oth-2503.01618" aria-labelledby="oth-2503.01618">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Energy-Dissipative Evolutionary Kolmogorov-Arnold Networks for Complex PDE Systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Lin,+G">Guang Lin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mou,+C">Changhong Mou</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+J">Jiahao Zhang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2503.01643" title="Abstract" id="2503.01643"> arXiv:2503.01643 </a> [<a href="/pdf/2503.01643" title="Download PDF" id="pdf-2503.01643" aria-labelledby="pdf-2503.01643">pdf</a>, <a href="https://arxiv.org/html/2503.01643v2" title="View HTML" id="html-2503.01643" aria-labelledby="html-2503.01643" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01643" title="Other formats" id="oth-2503.01643" aria-labelledby="oth-2503.01643">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Error estimates of asymptotic-preserving neural networks in approximating stochastic linearized Boltzmann equation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wan,+J">Jiayu Wan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+L">Liu Liu</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item28'>[28]</a> <a href ="/abs/2503.01696" title="Abstract" id="2503.01696"> arXiv:2503.01696 </a> [<a href="/pdf/2503.01696" title="Download PDF" id="pdf-2503.01696" aria-labelledby="pdf-2503.01696">pdf</a>, <a href="https://arxiv.org/html/2503.01696v1" title="View HTML" id="html-2503.01696" aria-labelledby="html-2503.01696" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01696" title="Other formats" id="oth-2503.01696" aria-labelledby="oth-2503.01696">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A mesh-free hybrid Chebyshev-Tucker tensor format with applications to multi-particle modelling </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Benner,+P">Peter Benner</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Khoromskij,+B+N">Boris N. Khoromskij</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Khoromskaia,+V">Venera Khoromskaia</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sun,+B">Bonan Sun</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item29'>[29]</a> <a href ="/abs/2503.01712" title="Abstract" id="2503.01712"> arXiv:2503.01712 </a> [<a href="/pdf/2503.01712" title="Download PDF" id="pdf-2503.01712" aria-labelledby="pdf-2503.01712">pdf</a>, <a href="https://arxiv.org/html/2503.01712v1" title="View HTML" id="html-2503.01712" aria-labelledby="html-2503.01712" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.01712" title="Other formats" id="oth-2503.01712" aria-labelledby="oth-2503.01712">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Unconditionally stable time discretization of Lindblad master equations in infinite dimension using quantum channels </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Robin,+R">R茅mi Robin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rouchon,+P">Pierre Rouchon</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sellem,+L">Lev-Arcady Sellem</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Quantum Physics (quant-ph) </div> </div> </dd> <dt> <a name='item30'>[30]</a> <a href ="/abs/2503.01775" title="Abstract" id="2503.01775"> arXiv:2503.01775 </a> [<a href="/pdf/2503.01775" title="Download PDF" id="pdf-2503.01775" aria-labelledby="pdf-2503.01775">pdf</a>, <a href="/format/2503.01775" title="Other formats" id="oth-2503.01775" aria-labelledby="oth-2503.01775">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Structure-Preserving Neural Ordinary Differential Equations for Stiff Systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Loya,+A+A">Allen Alvarez Loya</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Serino,+D+A">Daniel A. Serino</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Tang,+Q">Qi Tang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item31'>[31]</a> <a href ="/abs/2503.02006" title="Abstract" id="2503.02006"> arXiv:2503.02006 </a> [<a href="/pdf/2503.02006" title="Download PDF" id="pdf-2503.02006" aria-labelledby="pdf-2503.02006">pdf</a>, <a href="https://arxiv.org/html/2503.02006v1" title="View HTML" id="html-2503.02006" aria-labelledby="html-2503.02006" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02006" title="Other formats" id="oth-2503.02006" aria-labelledby="oth-2503.02006">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Upper and Lower Error Bounds for a Compact Fourth-Order Finite-Difference Scheme for the Wave Equation with Nonsmooth Data </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zlotnik,+A">Alexander Zlotnik</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 17 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2503.02159" title="Abstract" id="2503.02159"> arXiv:2503.02159 </a> [<a href="/pdf/2503.02159" title="Download PDF" id="pdf-2503.02159" aria-labelledby="pdf-2503.02159">pdf</a>, <a href="https://arxiv.org/html/2503.02159v1" title="View HTML" id="html-2503.02159" aria-labelledby="html-2503.02159" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02159" title="Other formats" id="oth-2503.02159" aria-labelledby="oth-2503.02159">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Policy iteration for nonconvex viscous Hamilton--Jacobi equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Guo,+X">Xiaoqin Guo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Tran,+H+V">Hung Vinh Tran</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+Y+P">Yuming Paul Zhang</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Analysis of PDEs (math.AP); Optimization and Control (math.OC) </div> </div> </dd> <dt> <a name='item33'>[33]</a> <a href ="/abs/2503.02254" title="Abstract" id="2503.02254"> arXiv:2503.02254 </a> [<a href="/pdf/2503.02254" title="Download PDF" id="pdf-2503.02254" aria-labelledby="pdf-2503.02254">pdf</a>, <a href="https://arxiv.org/html/2503.02254v1" title="View HTML" id="html-2503.02254" aria-labelledby="html-2503.02254" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02254" title="Other formats" id="oth-2503.02254" aria-labelledby="oth-2503.02254">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Levinov,+M">Michael Levinov</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yomdin,+Y">Yosef Yomdin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Batenkov,+D">Dmitry Batenkov</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item34'>[34]</a> <a href ="/abs/2503.02273" title="Abstract" id="2503.02273"> arXiv:2503.02273 </a> [<a href="/pdf/2503.02273" title="Download PDF" id="pdf-2503.02273" aria-labelledby="pdf-2503.02273">pdf</a>, <a href="/format/2503.02273" title="Other formats" id="oth-2503.02273" aria-labelledby="oth-2503.02273">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Nonlinear energy-preserving model reduction with lifting transformations that quadratize the energy </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sharma,+H">Harsh Sharma</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Giannoni,+J+D+D">Juan Diego Draxl Giannoni</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kramer,+B">Boris Kramer</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Machine Learning (cs.LG) </div> </div> </dd> <dt> <a name='item35'>[35]</a> <a href ="/abs/2503.02306" title="Abstract" id="2503.02306"> arXiv:2503.02306 </a> [<a href="/pdf/2503.02306" title="Download PDF" id="pdf-2503.02306" aria-labelledby="pdf-2503.02306">pdf</a>, <a href="https://arxiv.org/html/2503.02306v1" title="View HTML" id="html-2503.02306" aria-labelledby="html-2503.02306" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02306" title="Other formats" id="oth-2503.02306" aria-labelledby="oth-2503.02306">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Airy Phase Functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chow,+R">Richard Chow</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Bremer,+J">James Bremer</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item36'>[36]</a> <a href ="/abs/2503.02361" title="Abstract" id="2503.02361"> arXiv:2503.02361 </a> [<a href="/pdf/2503.02361" title="Download PDF" id="pdf-2503.02361" aria-labelledby="pdf-2503.02361">pdf</a>, <a href="https://arxiv.org/html/2503.02361v1" title="View HTML" id="html-2503.02361" aria-labelledby="html-2503.02361" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02361" title="Other formats" id="oth-2503.02361" aria-labelledby="oth-2503.02361">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Positive semidefinite/positive semidefinite splitting iteration methods for solving nonsingular non-Hermitian positive semidefinite systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Salkuyeh,+D+K">Davod Khojasteh Salkuyeh</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Masoudi,+M">Mohsen Masoudi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 23 pages, 1 Figure, Submitted </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item37'>[37]</a> <a href ="/abs/2503.02721" title="Abstract" id="2503.02721"> arXiv:2503.02721 </a> [<a href="/pdf/2503.02721" title="Download PDF" id="pdf-2503.02721" aria-labelledby="pdf-2503.02721">pdf</a>, <a href="https://arxiv.org/html/2503.02721v2" title="View HTML" id="html-2503.02721" aria-labelledby="html-2503.02721" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02721" title="Other formats" id="oth-2503.02721" aria-labelledby="oth-2503.02721">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A three-level CIP-VEM approach for the Oseen equation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Trezzi,+M">Manuel Trezzi</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item38'>[38]</a> <a href ="/abs/2503.02813" title="Abstract" id="2503.02813"> arXiv:2503.02813 </a> [<a href="/pdf/2503.02813" title="Download PDF" id="pdf-2503.02813" aria-labelledby="pdf-2503.02813">pdf</a>, <a href="https://arxiv.org/html/2503.02813v1" title="View HTML" id="html-2503.02813" aria-labelledby="html-2503.02813" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.02813" title="Other formats" id="oth-2503.02813" aria-labelledby="oth-2503.02813">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> An optimal-transport finite-particle method for driven mass diffusion </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pandolfi,+A">Anna Pandolfi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Romero,+I">Ignacio Romero</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ortiz,+M">Michael Ortiz</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 pages, 16 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item39'>[39]</a> <a href ="/abs/2503.03019" title="Abstract" id="2503.03019"> arXiv:2503.03019 </a> [<a href="/pdf/2503.03019" title="Download PDF" id="pdf-2503.03019" aria-labelledby="pdf-2503.03019">pdf</a>, <a href="https://arxiv.org/html/2503.03019v1" title="View HTML" id="html-2503.03019" aria-labelledby="html-2503.03019" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03019" title="Other formats" id="oth-2503.03019" aria-labelledby="oth-2503.03019">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Stability and Time-Step Constraints of Exponential Time Differencing Runge--Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Xu,+Z">Ziyao Xu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sun,+Z">Zheng Sun</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+Y">Yong-Tao Zhang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item40'>[40]</a> <a href ="/abs/2503.03069" title="Abstract" id="2503.03069"> arXiv:2503.03069 </a> [<a href="/pdf/2503.03069" title="Download PDF" id="pdf-2503.03069" aria-labelledby="pdf-2503.03069">pdf</a>, <a href="https://arxiv.org/html/2503.03069v1" title="View HTML" id="html-2503.03069" aria-labelledby="html-2503.03069" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03069" title="Other formats" id="oth-2503.03069" aria-labelledby="oth-2503.03069">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Convergence of Ray- and Pixel-Driven Discretization Frameworks in the Strong Operator Topology </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Huber,+R">Richard Huber</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 20 pages, 5 figures, preprint not yet submitted </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item41'>[41]</a> <a href ="/abs/2503.03243" title="Abstract" id="2503.03243"> arXiv:2503.03243 </a> [<a href="/pdf/2503.03243" title="Download PDF" id="pdf-2503.03243" aria-labelledby="pdf-2503.03243">pdf</a>, <a href="/format/2503.03243" title="Other formats" id="oth-2503.03243" aria-labelledby="oth-2503.03243">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Finite element form-valued forms (I): Construction </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hu,+K">Kaibo Hu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lin,+T">Ting Lin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 69 pages, 13 figures, 17 tables </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Differential Geometry (math.DG) </div> </div> </dd> <dt> <a name='item42'>[42]</a> <a href ="/abs/2503.03369" title="Abstract" id="2503.03369"> arXiv:2503.03369 </a> [<a href="/pdf/2503.03369" title="Download PDF" id="pdf-2503.03369" aria-labelledby="pdf-2503.03369">pdf</a>, <a href="https://arxiv.org/html/2503.03369v1" title="View HTML" id="html-2503.03369" aria-labelledby="html-2503.03369" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03369" title="Other formats" id="oth-2503.03369" aria-labelledby="oth-2503.03369">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Symmetry-Preserving Finite-Difference Schemes and Auto-B盲cklund Transformations for the Schwarz Equation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kaptsov,+E+I">E. I. Kaptsov</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Dorodnitsyn,+V+A">V. A. Dorodnitsyn</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 11 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item43'>[43]</a> <a href ="/abs/2503.03456" title="Abstract" id="2503.03456"> arXiv:2503.03456 </a> [<a href="/pdf/2503.03456" title="Download PDF" id="pdf-2503.03456" aria-labelledby="pdf-2503.03456">pdf</a>, <a href="/format/2503.03456" title="Other formats" id="oth-2503.03456" aria-labelledby="oth-2503.03456">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mixed-precision algorithms for solving the Sylvester matrix equation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dmytryshyn,+A">Andrii Dmytryshyn</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Fasi,+M">Massimiliano Fasi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Higham,+N+J">Nicholas J. Higham</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+X">Xiaobo Liu</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item44'>[44]</a> <a href ="/abs/2503.03525" title="Abstract" id="2503.03525"> arXiv:2503.03525 </a> [<a href="/pdf/2503.03525" title="Download PDF" id="pdf-2503.03525" aria-labelledby="pdf-2503.03525">pdf</a>, <a href="https://arxiv.org/html/2503.03525v1" title="View HTML" id="html-2503.03525" aria-labelledby="html-2503.03525" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03525" title="Other formats" id="oth-2503.03525" aria-labelledby="oth-2503.03525">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Discretization error analysis for a radially symmetric harmonic map heat flow problem </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nguyen,+N+A">Nam Anh Nguyen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Reusken,+A">Arnold Reusken</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item45'>[45]</a> <a href ="/abs/2503.03653" title="Abstract" id="2503.03653"> arXiv:2503.03653 </a> [<a href="/pdf/2503.03653" title="Download PDF" id="pdf-2503.03653" aria-labelledby="pdf-2503.03653">pdf</a>, <a href="https://arxiv.org/html/2503.03653v1" title="View HTML" id="html-2503.03653" aria-labelledby="html-2503.03653" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03653" title="Other formats" id="oth-2503.03653" aria-labelledby="oth-2503.03653">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equilibrated Averaging Residual Method: A General Approach to Conservative Flux Recovery </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=He,+C">Cuiyu He</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages, 1 figure </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item46'>[46]</a> <a href ="/abs/2503.03847" title="Abstract" id="2503.03847"> arXiv:2503.03847 </a> [<a href="/pdf/2503.03847" title="Download PDF" id="pdf-2503.03847" aria-labelledby="pdf-2503.03847">pdf</a>, <a href="/format/2503.03847" title="Other formats" id="oth-2503.03847" aria-labelledby="oth-2503.03847">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Mesostructural origins of the anisotropic compressive properties of low-density closed-cell foams: A deeper understanding </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+L">L. Liu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+F">F. Liu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zenkert,+D">D. Zenkert</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=%C3%85kermo,+M">M. 脜kermo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Fagerstr%C3%B6m,+M">M. Fagerstr枚m</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Preprint submitted to Elsevier </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Materials Science (cond-mat.mtrl-sci) </div> </div> </dd> <dt> <a name='item47'>[47]</a> <a href ="/abs/2503.03876" title="Abstract" id="2503.03876"> arXiv:2503.03876 </a> [<a href="/pdf/2503.03876" title="Download PDF" id="pdf-2503.03876" aria-labelledby="pdf-2503.03876">pdf</a>, <a href="/format/2503.03876" title="Other formats" id="oth-2503.03876" aria-labelledby="oth-2503.03876">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Approximate Evaluation Method for the Probability of the Union of Independent Events </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ursini,+E+L">Edson Luiz Ursini</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Martins,+P+S">Paulo S. Martins</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Revista Sodebras - ISSN 1809-3957, 2017 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Information Theory (cs.IT) </div> </div> </dd> <dt> <a name='item48'>[48]</a> <a href ="/abs/2503.03909" title="Abstract" id="2503.03909"> arXiv:2503.03909 </a> [<a href="/pdf/2503.03909" title="Download PDF" id="pdf-2503.03909" aria-labelledby="pdf-2503.03909">pdf</a>, <a href="https://arxiv.org/html/2503.03909v1" title="View HTML" id="html-2503.03909" aria-labelledby="html-2503.03909" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.03909" title="Other formats" id="oth-2503.03909" aria-labelledby="oth-2503.03909">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> lrAA: Low-Rank Anderson Acceleration </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Appelo,+D">Daniel Appelo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Cheng,+Y">Yingda Cheng</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> <dt> <a name='item49'>[49]</a> <a href ="/abs/2503.04024" title="Abstract" id="2503.04024"> arXiv:2503.04024 </a> [<a href="/pdf/2503.04024" title="Download PDF" id="pdf-2503.04024" aria-labelledby="pdf-2503.04024">pdf</a>, <a href="https://arxiv.org/html/2503.04024v1" title="View HTML" id="html-2503.04024" aria-labelledby="html-2503.04024" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.04024" title="Other formats" id="oth-2503.04024" aria-labelledby="oth-2503.04024">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> An optimal Petrov-Galerkin framework for operator networks </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Charles,+P">Philip Charles</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ray,+D">Deep Ray</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yu,+Y">Yue Yu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Prins,+J">Joost Prins</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Melchers,+H">Hugo Melchers</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Abdelmalik,+M+R+A">Michael R. A. Abdelmalik</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Cochran,+J">Jeffrey Cochran</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Oberai,+A+A">Assad A. Oberai</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Hughes,+T+J+R">Thomas J. R. Hughes</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Larson,+M+G">Mats G. Larson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 39 pages, 22 figures, 5 tables </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span>; Machine Learning (cs.LG) </div> </div> </dd> <dt> <a name='item50'>[50]</a> <a href ="/abs/2503.04033" title="Abstract" id="2503.04033"> arXiv:2503.04033 </a> [<a href="/pdf/2503.04033" title="Download PDF" id="pdf-2503.04033" aria-labelledby="pdf-2503.04033">pdf</a>, <a href="https://arxiv.org/html/2503.04033v1" title="View HTML" id="html-2503.04033" aria-labelledby="html-2503.04033" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.04033" title="Other formats" id="oth-2503.04033" aria-labelledby="oth-2503.04033">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Two-Level Direct Solver for the Hierarchical Poincar茅-Steklov Method </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kump,+J">Joseph Kump</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yesypenko,+A">Anna Yesypenko</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Martinsson,+P">Per-Gunnar Martinsson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 33 pages, 21 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Numerical Analysis (math.NA)</span> </div> </div> </dd> </dl> <div class='paging'>Total of 301 entries : <span>1-50</span> <a href=/list/math.NA/current?skip=50&show=50>51-100</a> <a href=/list/math.NA/current?skip=100&show=50>101-150</a> <a href=/list/math.NA/current?skip=150&show=50>151-200</a> <span>...</span> <a href=/list/math.NA/current?skip=300&show=50>301-301</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.NA/current?skip=0&show=25 rel="nofollow"> fewer</a> | <a href=/list/math.NA/current?skip=0&show=100 rel="nofollow"> more</a> | <a href=/list/math.NA/current?skip=0&show=2000 rel="nofollow"> all</a> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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