ON THE TRUNCATION ERROR WHICH ARISES FROM THE USE OF FINITE DIFFERENCES IN THE LAPLACIAN OPERATOR

1 October 1958

journal article
Published by American Meteorological Society in Journal of Meteorology

Vol. 15 (5) , 475-480
https://doi.org/10.1175/1520-0469(1958)015<0475:ottewa>2.0.co;2

Abstract

The modification of the power spectrum for the Laplacian of a variable, associated with the use of finite differences instead of derivatives, is discussed for an isotropic scalar field. The results permit one to specify a finite difference scheme which reduces considerably the systematic truncation error in the Laplacian operator.

Keywords

LAPLACIAN OPERATOR
MODIFICATION
RESULTS PERMIT
SPECTRUM
TRUNCATION ERROR
USE OF FINITE

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