ENGLISH

Partial Differential Equations: Analytical and Numerical Methods

By Mark S. Gockenbach

Book information

Year
2002
ISBN
9780898715187, 0898715180
Open Library ID
OL8271915M
Language
english
Format
PDF
Filesize
61 MB (63988377 bytes)
Pages
638\638
Scanned
no
Time added
2011-06-04 13:46:07

Description

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.

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