<html><head><meta http-equiv="Content-Type" content="text/html charset=us-ascii"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class="">There will be a talk on Thursday that may be of interest:<div class=""><br class=""></div><div class=""><div style="margin: 0px;" class=""><font size="5" class="">4:30-5:30pm Thursday 20 April in Jones 226</font></div><div style="margin: 0px;" class=""><pre class=""><font face="Helvetica" class=""><b class=""><tt class=""><font class=""><font face="Helvetica" size="5" class="">Prof. Michael Mascagni </font><font size="5" class=""> </font></font></tt></b><b style="font-size: x-large;" class=""><tt class=""> </tt></b></font></pre><pre class=""><b class=""><tt class=""><font face="Helvetica" size="5" class="">Florida State University</font></tt></b></pre><div class=""><p style="background-color: rgb(255, 255, 255);" class=""><big class=""><b class=""><font size="5" class="">Title: Computational Geometry Aspects of Monte Carlo Approaches </font></b></big></p><p style="background-color: rgb(255, 255, 255);" class=""><big class=""><b class=""><font size="5" class=""> to PDE Problems in Biology, Chemistry, and Materials</font></b><b style="font-size: medium; font-family: 'Times New Roman';" class=""><br class=""></b><font face="Times New Roman" style="font-size: medium;" class=""><b class=""></b></font></big></p><big class=""><b class=""><font size="4" class="">Abstract:</font></b></big></div><div class=""><big class=""><b class=""><font size="4" class="">We will introduce at some Monte Carlo methods for solving problems in electrostatics. These rely on evaluating functionals of the first-passage time of Brownian motion on geometries defined by the system of interest. We will use the Walk on Spheres (WOS) algorithm to quickly evaluate these functionals, and we will show how a computational geometric computation dominates this computation in complexity. We then consider computing the capacitance of a complicated shape, and use this as our model problem to find an efficient serial and parallel implementation. The capacitance computation is prototypical of many Monte Carlo approaches to problems in biology, biochemistry, and materials science.</font></b></big></div><div class=""><big class=""><b class=""><font size="4" class=""><br class=""></font></b></big></div><div class=""><big class=""><font size="4" class="">For more information, contact Ridgway Scott (</font></big><font size="4" class=""><a href="mailto:ridg@uchicago.edu" class="">ridg@uchicago.edu</a>)</font></div></div><br class=""></div></body></html>