9780521877268

Numerical Solution of Elliptic and Parabolic Partial Differential Equations

by
  • ISBN13:

    9780521877268

  • ISBN10:

    0521877261

  • Edition: CD
  • Format: Hardcover w/CD
  • Copyright: 5/27/2013
  • Publisher: Cambridge University Press
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Summary

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).

Table of Contents

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
Table of Contents provided by Publisher. All Rights Reserved.

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