The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains (Frontiers in Applied Mathematics)
| Author | : | |
| Rating | : | 4.44 (980 Votes) |
| Asin | : | 0898716098 |
| Format Type | : | paperback |
| Number of Pages | : | 331 Pages |
| Publish Date | : | 2014-12-03 |
| Language | : | English |
DESCRIPTION:
'Most everything ever published on the topic is described A tour de force on immersed interface methods.' Loyce Adams, University of Washington
It provides a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. This text 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. The book also contains several applications of free boundary and moving interface problems, including examples from physics, computational fluid mechanics, mathematical biology, material science, and other fields.. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains. Particular topics include the IIM's applications to Stefan problems and unstable crystal growth, incompressible Stokes and Navier-Stokes flows with moving inte
. He was co-recipient of the SIAM Outstanding Paper Award in 2006. Kazufumi Ito is Professor in the Department of Mathematics and an affiliate of the Center for Research in Scientific Computation at North Carolina State University