E-Book, Englisch, Band 38, 334 Seiten
Gustafsson High Order Difference Methods for Time Dependent PDE
1. Auflage 2007
ISBN: 978-3-540-74993-6
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 38, 334 Seiten
Reihe: Springer Series in Computational Mathematics
ISBN: 978-3-540-74993-6
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform.
Autoren/Hrsg.
Weitere Infos & Material
1;Preface;5
2;Contents;10
3;Acronyms;13
4;When are High Order Methods Effective?;14
5;Well-posedness and Stability;26
6;Order of Accuracy and the Convergence Rate;82
7;Approximation in Space;94
8;Approximation in Time;108
9;Coupled Space-Time Approximations;128
10;Boundary Treatment;139
11;The Box Scheme;169
12;Wave Propagation;189
13;A Problem in Fluid Dynamics;231
14;Nonlinear Problems with Shocks;256
15;Introduction to Other Numerical Methods;278
16;Solution of Difference Equations;317
17;The Form of SBP Operators;321
18;References;334
19;Index;340
