Elliptic Marching Methods and Domain Decomposition

Elliptic Marching Methods and Domain Decomposition

Editorial Reviews
Review
Together with an important historical perspective, this book uses the domain decomposition connection to develop and explore the nature of marching methods. Interesting analytical and anecdotal comparisons are made with direct methods and multigrid techniques, told by a scientist who has obviously has much experience with real practical problems.
-Mathematical Reviews, 99a

Book Description
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.

Elliptic Marching Methods and Domain Decomposition

Elliptic Marching Methods and Domain Decomposition,Patrick J. Roache,CRC-Press,0849373786,Applied,Decomposition (Mathematics),Differential Equations - Partial Differential Equations,Differential equations, Ellipt,Differential equations, Elliptic,Engineering - Mechanical,Mathematics,Numerical Solutions Of Differential Equations,Numerical solutions,Science/Mathematics,Differential equations,Mathematical theory of computation,Mathematics / Applied,Mathematics / Number Systems,Numerical analysis

Books Info:

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2. Finite Element Methods: Lecture Notes in Pure and Applied Mathematics, Vol 196 (Lecture Notes in Pure and Applied Mathematics)
3. Fundamentals of Algebraic Microlocal Analysis (Pure and Applied Mathematics (Marcel Dekker))
4. Geometric Modeling: Techniques, Applications, Systems and Tools
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6. Global Smoothness and Shape Preserving Interpolation by Classical Operators
7. Graphs, Matrices, and Designs (Lecture Notes in Pure and Applied Mathematics)
8. Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts)
9. High Dimensional Nonlinear Diffusion Stochastic Processes
10. Hypersingular Integrals and Their Applications (Analytical Methods and Special Functions)

Books Info

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