
Numerical Solution of Elliptic and Parabolic Partial Differential Equations with CD-ROM
John A. Trangenstein(Author)
Cambridge University Press
Published on 18. April 2013
Book
Mixed media product
661 pages
978-0-521-87726-8 (ISBN)
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 can be found on the accompanying CD-ROM).
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises; 30 Halftones, unspecified; 13 Halftones, color; 25 Line drawings, unspecified
Dimensions
Height: 253 mm
Width: 193 mm
Thickness: 37 mm
Weight
1420 gr
ISBN-13
978-0-521-87726-8 (9780521877268)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
John A. Trangenstein is Professor of Mathematics and Adjunct Professor of Civil and Environmental Engineering at Duke University, North Carolina, USA.
Content
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.