Partial differential equations: analytical and numerical methods

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Partial differential equations (PDEs) are essential for modeling many physical phenomena. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.

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Title Statements

Full title :Partial differential equations : analytical and numerical methods / Mark S. Gockenbach.

Summary

Edition Statements

Publication Date:2010.
Edition:2nd ed

Publication Statements

Publisher(s):Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
Place of Publication:Philadelphia, Pa
Language:eng
Publication Date:2010.

Notes

Title from title screen, viewed 12/30/2010.

The Physical Object

Description:1 electronic text (xviii, 654 pages) : : digital file

Edition Identifiers

ISBN:9780898719482, 0898719488
oclc:ocn697889415
LC Classification:QA377
Dewey Decimal:515/.353

1. Classification of differential equations -- 2. Models in one dimension -- 3. Essential linear algebra -- 4. Essential ordinary differential equations -- 5. Boundary value problems in statics -- 6. Heat flow and diffusion -- 7. Waves -- 8. First-order PDEs and the method of characteristics -- 9. Green's functions -- 10. Sturm-Liouville eigenvalue problems -- 11. Problems in multiple spatial dimensions -- 12. More about Fourier series -- 12. More about finite element methods -- Appendix A. Proof of theorem 3.47 -- Appendix B. Shifting the data in two dimensions -- Bibliography -- Index.

Subjects

Differential Equations, Partial Équations aux dérivées partielles Fourier series MATLAB Numerical analysis ordinary differential equation Partial Differential Equations Sturm-Liouville problems