Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs (Paperback)

Language: English

Published by Society for Industrial & Applied Mathematics,U.S., New York, 2014

161197383X / 9781611973839

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Paperback. This first title in SIAMs Spotlights book series is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem.The books central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together.This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research. Explores the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. …

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Title
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs (Paperback)
Author
Josef Malek
Publisher
Society for Industrial & Applied Mathematics,U.S., New York
Publication year
2014
Condition
new
Binding
Paperback
Language
English
ISBN 10
161197383X
ISBN 13
9781611973839

AussieBookSeller

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