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

Trangenstein, John A.

Hardcover

ISBN 10: 0521877261 ISBN 13: 9780521877268

Publisher: Cambridge University Press, 2013

Synopsis

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).

About this title

About the Author

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

Edition details

• Publisher: Cambridge University Press
• Publication date: 2013
• Language: English
• ISBN 10: 0521877261
• ISBN 13: 9780521877268
• Binding: Hardcover
• Edition number: 1
• Number of pages: 661