Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM

by John A. Trangenstein

• ISBN13: 9780521877268
• ISBN10: 0521877261
• Edition: CD
• Format: Hardcover w/CD
• Copyright: 2013-05-27
• Publisher: Cambridge University Press

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.