Partial Differential Equations: Analytical and Numerical Methods

Gockenbach, Mark S.

ISBN 10: 0898715180 / ISBN 13: 9780898715187

Published by SIAM: Society for Industrial and, 2002

About this Item

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Bibliographic Details

• Title: Partial Differential Equations: Analytical and Numerical Methods
• Publisher: SIAM: Society for Industrial and
• Publication Date: 2002
• Language: English
• ISBN 10: 0898715180
• ISBN 13: 9780898715187
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

This introductory text on partial differential equations is the first to integrate modern and classical techniques for solving PDEs at a level suitable for undergraduates. The author successfully complements the classical topic of Fourier series with modern finite element methods. The result is an up-to-date, powerful, and flexible approach to solving PDEs, which both faculty and students will find refreshing, challenging, and rewarding. Linear algebra is a key component of the text, providing a framework both for computing solutions and for understanding the theoretical basis of the methods. Although techniques are emphasized over theory, the methods are presented in a mathematically sound fashion to develop a strong foundation for further study. Numerous exercises and examples involve meaningful experiments with realistic physical parameters, allowing students to use physical intuition to understand the qualitative features of the solutions.

Review

'I love this book and look forward to using it as a text in the future. ... It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review

'The introduction of FEM to an undergraduate PDE text is wonderful. It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review