Partial differential equations : modeling, analysis, computation / R.M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp.

Format:

Book

Author/Creator:

Mattheij, Robert M. M.

Contributor:

Rienstra, S. W.

Thije Boonkkamp, J. H. M. ten.

Society for Industrial and Applied Mathematics.

Series:

SIAM monographs on mathematical modeling and computation.

SIAM monographs on mathematical modeling and computation

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Differential equations, Partial--Mathematical models.

Physical Description:

1 electronic text (xxxiii, 665 p. : ill.) : digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2005.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

Contents:

1. Differential and difference equations

2. Characterization and classification

3. Fourier theory

4. Distributions and fundamental solutions

5. Approximation by finite differences

6. The Equations of continuum mechanics and electromagnetics

7. The art of modeling

8. The analysis of elliptic equations

9. Numerical methods for elliptic equations

10. Analysis of parabolic equations

11. Numerical methods for parabolic equations

12. Analysis of hyperbolic equations

13. Numerical methods for scalar hyperbolic equations

14. Numerical methods for hyperbolic systems

15. Perturbation methods

16. Modeling, analyzing, and simulating problems from practice.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 649-657) and index.

Description based on title page of print version.

ISBN:

0-89871-827-9

Publisher Number:

MM10 siam

MM10 SIAM