A family of high order finite difference schemes with good spectral resolution
type: Item
instance of: scholarly article
title: A family of high order finite difference schemes with good spectral resolution
zbMATH Open document ID: 0926.76081
author: Krishnan Mahesh
published in: Journal of Computational Physics
publication date: 1999-12-05T00:00:00Z
review text: This paper presents a family of finite difference schemes for the first and second derivatives of smooth functions. The schemes are Hermitian and symmetric and may be considered as a more general version of the standard compact (Padé) schemes. They are different from the standard Padé schemes in that the first and second derivatives are evaluated simultaneously. For the same stencil width, the proposed schemes are two orders higher in accuracy, and have significantly better spectral representation. Eigenvalue analysis, and numerical solutions of the one-dimensional advection equation are used to demonstrate the numerical stability of the schemes. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 1212280
zbMATH Keywords: eigenvalue analysis
zbMATH Keywords: symmetric Hermitian schemes
zbMATH Keywords: Padé schemes
zbMATH Keywords: one-dimensional advection equation
MaRDI profile type: Publication
OpenAlex ID: W2001560969
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DOI: 10.1006/JCPH.1998.6022
description: scientific article; zbMATH DE number 1212280