×

zbMATH — the first resource for mathematics

High-order finite differences and the pseudospectral method on staggered grids. (English) Zbl 0705.65076
For a one-dimensional problem with grid spacing h staggering the grid would typically involve shifting the grid sideways h/2. Finite difference approximations for the first derivative on staggered grids are in general more accurate than the corresponding approximations on a standard grid. In this paper a fundamentally different (and more accurate) pseudospectral method is obtained from the approximations on staggered grids. The paper derives these and related methods and discusses their accuracy.
Reviewer: R.D.Lazarov

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65D25 Numerical differentiation
35L45 Initial value problems for first-order hyperbolic systems
PDF BibTeX XML Cite
Full Text: DOI