Time-Dependent Problems and Difference Methods
eBook - ePub

Time-Dependent Problems and Difference Methods

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Time-Dependent Problems and Difference Methods

About this book

Praise for the First Edition

"... fills a considerable gap in the numerical analysis literature by providing a self-contained treatment... this is an important work written in a clear style... warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations."
— SIAM Review

Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods.

The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations, Time-Dependent Problems and Difference Methods, Second Edition also includes:

  • High order methods on staggered grids
  • Extended treatment of Summation By Parts operators and their application to second-order derivatives
  • Simplified presentation of certain parts and proofs

Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

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Yes, you can access Time-Dependent Problems and Difference Methods by Bertil Gustafsson,Heinz-Otto Kreiss,Joseph Oliger in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques appliquées. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2013
Print ISBN
9780470900567
eBook ISBN
9781118548523

Table of contents

  1. Cover
  2. Series
  3. Title Page
  4. Copyright
  5. Preface
  6. Preface to the First Edition
  7. Part I: Problems with Periodic Solutions
  8. Part II Initial_Boundary Value Problems
  9. Appendix A: Fourier Series and Trigonometric Interpolation
  10. Appendix B: Fourier And Laplace Transform
  11. Appendix C: Some results from linear algebra
  12. Appendix D: SBP Operators
  13. References
  14. Index