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

Zhilin Li, Kazufumi Ito

SIAM, Jul 1, 2006 - Mathematics - 348 pages

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.

About the author

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.

Bibliographic information

• Title: The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains; Volume 33 of Frontiers in Applied Mathematics
• Authors: Zhilin Li, Kazufumi Ito
• Edition: illustrated
• Publisher: SIAM, 2006
• ISBN: 0898716098, 9780898716092
• Length: 348 pages
• Subjects: Mathematics / Applied; Mathematics / Differential Equations / General; Mathematics / Mathematical Analysis; Mathematics / Numerical Analysis; Mathematics / Reference