Partial differential equations : modeling, analysis, computation /

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Bibliographic Details
Author / Creator:Mattheij, Robert M. M.
Imprint:Philadelphia : Society for Industrial and Applied Mathematics, c2005.
Description:xxxiii, 665 p. : ill. ; 26 cm.
Language:English
Series:SIAM monographs on mathematical modeling and computation
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/5843202
Hidden Bibliographic Details
Other authors / contributors:Rienstra, S. W.
Thije Boonkkamp, J. H. M. ten.
ISBN:0898715946 (pbk.)
Notes:Includes bibliographical references (p. 649-657) and index.
Table of Contents:
  • List of Figures
  • List of Tables
  • Notation
  • Preface
  • 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
  • Appendices. Useful definitions and properties
  • Bibliography
  • Index