Elliptic Marching Methods and Domain Decomposition (Symbolic & Numeric Computation) - Hardcover

Roache, Patrick J.

Hardcover

ISBN 10: 0849373786 ISBN 13: 9780849373787

Publisher: CRC Press, 1995

Synopsis

One of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and other fields characterized by discretized partial differential equations. Elliptic Marching Methods and Domain Decomposition demonstrates how to handle numerical instabilities (i.e., limitations on the size of the problem) that appear when one tries to solve these discretized equations with marching methods. The book also shows how marching methods can be superior to multigrid and pre-conditioned conjugate gradient (PCG) methods, particularly when used in the context of multiprocessor parallel computers. Techniques for using domain decomposition together with marching methods are detailed, clearly illustrating the benefits of these techniques for applications in engineering, applied mathematics, and the physical sciences.

About this title

About the Author

Patrick J. Roache

Edition details

• Publisher: CRC Press
• Publication date: 1995
• ISBN 10: 0849373786
• ISBN 13: 9780849373787
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 206