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

Yoshimitsu OguraJohns Hopkins University

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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.

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.

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