Finite Difference Schemes and Partial Differential Equations
| Author | : | |
| Rating | : | 4.13 (501 Votes) |
| Asin | : | 0412072211 |
| Format Type | : | paperback |
| Number of Pages | : | 392 Pages |
| Publish Date | : | 2014-02-11 |
| Language | : | English |
DESCRIPTION:
. John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison
"One of the best books ever" according to Ji Yeoun Lee. This book deals with the broad range of PDE problems with wonderful numerical algorithms.I was crushed on the 1st edition because it was really well-balanced (i.e.,just necessary math but full coverage of real world interests) and well-organized book.This book (the 2nd edition) includes more pictures and examples which help the reader to undersand the important concepts with ease.Sometimes, the brief sentences seem to be too concise to the fist reader, but that is not true.Once the reader unde
About the Author John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison.
This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations