Time Dependent Problems and Difference Methods

Bertil Gustafsson, etc., Heinz-Otto Kreiss, James Oliger (Autoren)

Buch | Hardcover

656 Seiten

1996
John Wiley & Sons Inc (Verlag)
978-0-471-50734-5 (ISBN)

Infos

This advanced text covers material relevant to the derivation and analysis of numerical methods for computing approximate solutions to partial differential equations. This is particularly relevant for time dependent problems arising from the sciences and engineering.

Autor

Bertil Gustafsson is a professor with the Department of Scientific Computing at Uppsala University, Sweden. Heinz--Otto Kreiss is a professor with the UCLA Department of Mathematics. He is the coauthor of Initial--Boundary Value Problems and the Navier--Stokes Equations. Joseph Oliger is a professor with the Department of Computer Science at Stanford University.

Inhalt

PROBLEMS WITH PERIODIC SOLUTIONS. Fourier Series and Trigonometric Interpolation. Model Equations. Higher Order Accuracy. Well--Posed Problems. Stability and Convergence for Numerical Approximations of Linear and Nonlinear Problems. Hyperbolic Equations and Numerical Methods. Parabolic Equations and Numerical Methods. Problems with Discontinuous Solutions. INITIAL--BOUNDARY--VALUE PROBLEMS. Initial--Boundary--Value Problems. The Laplace Transform Method for Initial--Boundary--Value Problems. The Energy Method for Difference Approximations. The Laplace Transform Method for Difference Approximations. The Laplace Transform Method for Fully Discrete Approximations: Normal Mode Analysis. Appendices. References. Index.

Produkt-Details

• Erscheint lt. Verlag: 6.3.1996
• Reihe/Serie: Pure & Applied Mathematics S.
• Zusatzinfo: Illustrations
• Verlagsort: New York
• Sprache: englisch
• Maße: 160 x 235 mm
• Gewicht: 1138 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 0-471-50734-2 / 0471507342
• ISBN-13: 978-0-471-50734-5 / 9780471507345
• Zustand: Neuware