Document Zbl 1288.91195

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Math. Comput.</a> <a href="/?q=in%3A333021" title="Articles in this Issue">219, No. 14, 7297-7305 (2013)</a>. </div> <div class="abstract">Summary: In stochastic differential equations (SDEs), there is a class of stochastic functional differential equations with random jump magnitudes, which aries in many financial models. In general most equations of stochastic age-dependent capital system do not have explicit solutions. Thus numerical approximation schemes are invaluable tools for exploring their properties. In this paper, the numerical approximation is established for a class of stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the numerical approximation for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the numerical approximate solutions converge to the analytical solutions of the equations under given conditions. The numerical approximate results in [<span class="zbmathjax-textit">Q.-M. Zhang</span> et al., J. Comput. Appl. Math. 235, No. 12, 3369–3377 (2011; <a href="/1229.65030">Zbl 1229.65030</a>)] are improved. An example is given for illustration.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6299762">Cited in <strong>12</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A91G60" title="MSC2020">91G60</a> </td> <td class="space"> Numerical methods (including Monte Carlo methods) </td> </tr><tr> <td class="mono"> 60J75 </td> <td class="space"> Jump processes (MSC2010) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A60H15" title="MSC2020">60H15</a> </td> <td class="space"> Stochastic partial differential equations (aspects of stochastic analysis) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Astochastic+age-dependent+capital+system">stochastic age-dependent capital system</a>; <a href="/?q=ut%3APoisson+jump">Poisson jump</a>; <a href="/?q=ut%3Arandom+jump+magnitudes">random jump magnitudes</a>; <a href="/?q=ut%3Anumerical+approximate">numerical approximate</a>; <a href="/?q=ut%3Aconvergence">convergence</a></div><div class="keywords"> <h3>Citations:</h3><a href="/1229.65030">Zbl 1229.65030</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1288.91195" data-ciurl="/ci/06299762" data-biburl="/bibtex/06299762.bib" data-amsurl="/amsrefs/06299762.bib" data-xmlurl="/xml/06299762.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06299762.pdf" title="Zbl 1288.91195 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.amc.2012.12.074" aria-label="DOI for “Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes”" title="10.1016/j.amc.2012.12.074">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Wang, Z., Stability of solution to a class of investment system, Appl. 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