High Order Difference Methods for Time Dependent PDE

Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent. For example...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Gustafsson, Bertil. (Awdur, http://id.loc.gov/vocabulary/relators/aut)
Awdur Corfforaethol: SpringerLink (Online service)
Fformat: Electronig eLyfr
Iaith:English
Cyhoeddwyd: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Rhifyn:1st ed. 2008.
Cyfres:Springer Series in Computational Mathematics, 38
Pynciau:
Mynediad Ar-lein:https://doi.org/10.1007/978-3-540-74993-6
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Tabl Cynhwysion:
  • 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.