Numerical Solution of Elliptic and Parabolic Partial Differential Equations

Numerical Solution of Elliptic and Parabolic Partial Differential Equations

by John A. Trangenstein
     
 

ISBN-10: 0521877261

ISBN-13: 9780521877268

Pub. Date: 04/30/2013

Publisher: Cambridge University Press

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

Overview

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 can be found on the accompanying CD-ROM).

Product Details

ISBN-13:
9780521877268
Publisher:
Cambridge University Press
Publication date:
04/30/2013
Edition description:
New Edition
Pages:
656
Product dimensions:
7.44(w) x 9.69(h) x 1.46(d)

Table of Contents

Preface; 1. Introduction to partial differential equations; 2. Parabolic equations; 3. Iterative linear algebra; 4. Introduction to finite element methods; 5. Finite element theory; 6. Finite element approximations; 7. Mixed and hybrid finite elements; 8. Finite elements for parabolic equations; 9. Finite elements and multigrid; 10. Local refinement; Nomenclature; Bibliography; Author index; Subject index.

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