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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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A Numerical Method for Heat Equations Involving Interfaces
by
Yun-Qiu Shen
Department of Mathematics,Western Washington University,Bellingham,WA 98225
Coauthors: Zhilin Li (Center For Research in Scientific Computation and Department of Mathematics,North Carolina State University,Raleigh, NC 27695)

We develop a second order accurate immersed interface method for heat equations with singular sources along an arbitrary but fixed interface. The solution may be non-smooth or even discontinuous. The method is based on immersed interface method and operator splitting. Theoretical analysis and numerical examples are given to show the efficiency of our algorithm.

Date received: March 23, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-16.