Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform (Q761787)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform |
scientific article; zbMATH DE number 3888877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform |
scientific article; zbMATH DE number 3888877 |
Statements
Discrete orthogonal function expansions for non-uniform grids using the fast Fourier transform (English)
0 references
1984
0 references
This paper proposes to use non-uniform mapping in the fast Fourier transform of non-uniformly spaced data. The result yields alias-free differentiation and integration operators. Truncation is done to avoid aliasing and/or singularity in compensation of small errors. Accuracy in the solutions of linear convection and diffusion equations is higher than that generated by the standard finite-difference method.
0 references
fast Fourier transform on non-uniform grids
0 references
discrete orthogonal
0 references
function expansion
0 references
non-uniform mapping
0 references
convection and diffusion equations
0 references
