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Numerical Solution of Elliptic and Parabolic Partial Differential Equations

ISBN-10: 0521877261

ISBN-13: 9780521877268

Edition: 2012

Authors: John A. Trangenstein

List price: $57.00
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Description:

For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which is available online and on the accompanying CD-ROM).
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Book details

List price: $57.00
Copyright year: 2012
Publisher: Cambridge University Press
Publication date: 4/18/2013
Binding: Mixed Media
Pages: 661
Size: 8.00" wide x 10.00" long x 1.50" tall
Weight: 3.146
Language: English

John A. Trangenstein is Professor of Mathematics and Adjunct Professor of Civil and Environmental Engineering at Duke University, North Carolina, USA.

Preface
Introduction to partial differential equations
Parabolic equations
Iterative linear algebra
Introduction to finite element methods
Finite element theory
Finite element approximations
Mixed and hybrid finite elements
Finite elements for parabolic equations
Finite elements and multigrid
Local refinement
Nomenclature
Bibliography
Author index
Subject index