Generalized Difference Methods for Differential Equations
Numerical Analysis of Finite Volume Methods
Published on 3. January 2000
472 pages
978-1-040-21011-6 (ISBN)
Description
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Reviews / Votes
". . .an extraordinary text presenting, mathematically, delicate problems of numerical approximations in a very careful and yet accessible manner. "---Mathematical Reviews
"...contains a lot of very useful material on the numerical analysis of the finite volume scheme.... ...useful to researchers and graduate students working on the numerical analysis of finite element methods and finite volume methods for elliptic problems."
---Zentralblatt fur Mathematik, 2000
"...an indispensable reference work for any numerical analyst who studies and uses finite difference, finite element, and finite volume methods and other approaches for solving partial differential equations and applications. Besides its value as an excellent reference book for the generalized difference methods or for some finite volume methods from the point of view of the generalized finite element method, many ideas, both in algorithm design and theoretical analysis, can be applied elsewhere."
---SIAM Review, 2001
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
File size
2,79 MB
ISBN-13
978-1-040-21011-6 (9781040210116)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ronghua Li | Zhongying Chen | Wei Wu
Generalized Difference Methods for Differential Equations
Numerical Analysis of Finite Volume Methods
Book
01/2000
1st Edition
CRC Press
€340.45
Shipment within 15-20 days
Persons
Ronghua Li, Zhongying Chen, Wei Wu
Content
Preliminaries; two point boundary value problems; second order elliptic equations; fourth order and nonlinear elliptic equations; parabolic equations; hyperbolic equations; convection-dominated diffusion problems; applications.
