Bertil Gustafsson
Springer Berlin Heidelberg
2008e druk, 2007
9783540749929
High Order Difference Methods for Time Dependent PDE
Specificaties
Gebonden, 334 blz.
|
Engels
Springer Berlin Heidelberg |
2008e druk, 2007
ISBN13: 9783540749929
Rubricering
Onderdeel van serie
Springer Series in Computational Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540749929
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:334
Uitgever:Springer Berlin Heidelberg
Druk:2008
Inhoudsopgave
When are High Order Methods Effective?.- Well-posedness and Stability.- Order of Accuracy and the Convergence Rate.- Approximation in Space.- Approximation in Time.- Coupled Space-Time Approximations.- Boundary Treatment.- The Box Scheme.- Wave Propagation.- A Problem in Fluid Dynamics.- Nonlinear Problems with Shocks.- to Other Numerical Methods.