Elliptic Marching Methods and Domain Decomposition
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A01=Patrick J. Roache
applied mathematics research
Author_Patrick J. Roache
Category=PBKJ
Category=PBKS
Category=UYA
computational physics
engineering simulation
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eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
influence matrices
nonlinear fluid dynamics methods
numerical stability
tridiagonal algorithm
Product details
- ISBN 9780849373787
- Weight: 592g
- Dimensions: 178 x 254mm
- Publication Date: 29 Jun 1995
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
