The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains

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Society for Industrial and Applied Mathematics, Jul 1, 2006 - Mathematics - 332 pages
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This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.

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About the author (2006)

Zhilin Li is a Professor in the Department of Mathematics and Center for Research in Scientific Computing at North Carolina State University.Kazufumi Ito is a Professor in the Department of Mathematics and Center for Research in Scientific Computing at North Carolina State University.

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