Group explicit methods for the numerical solution of partial differential equations
Author(s)
Bibliographic Information
Group explicit methods for the numerical solution of partial differential equations
(Topics in computer mathematics, v. 7)
Gordon & Breach, 1997
Available at 7 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
A new class of methods, termed "group explicit methods," is introduced in this text. Their applications to solve parabolic, hyperbolic and elliptic equations are outlined, and the advantages for their implementation on parallel computers clearly portrayed. Also included are the introductory and fundamental concepts from which the new methods are derived, and on which they are dependent. With the increasing advent of parallel computing into all aspects of computational mathematics, there is no doubt that the new methods will be widely used.
Table of Contents
1. Numerical Solution of Partial Differential Equations by Finite Difference Methods 2. Group Explicit Methods for Parabolic Equations 3. The Alternating Group Explicit (AGE) Method for Parabolic Equations 4. The AGE Method for Multidimensional Partial Differential Equations 5. Parallel Implementation of the Alternating Group Explicit (AGE) Method 6. Group Explicit Methods for Hyperbolic Equations 7. The Alternating Group Explicit (AGE) Method for Elliptic Boundary Value Problems
by "Nielsen BookData"