The piecewise parabolic finite analytic method. I: Theory
type: Item
instance of: scholarly article
title: The piecewise parabolic finite analytic method. I: Theory
zbMATH Open document ID: 0780.65068
DOI: 10.1016/0307-904X(92)90033-Y
author: Yuping Sun
author: Julio Militzer
published in: Applied Mathematical Modelling
publication date: 1993-05-16T00:00:00Z
review text: The authors consider a numerical scheme (the piecewise parabolic finite analytic method, which they describe) to approximate solutions of convection diffusion equation. This method satisfies a discrete maximum principle analogous to the one satisfied by the continuous equation. The authors obtain existence and uniqueness results for the approximate problem, discuss stability and convergence of the numerical scheme, and derive error estimates using the discrete maximum principle.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 167006
zbMATH Keywords: piecewise parabolic finite analytic method
zbMATH Keywords: convection diffusion equation
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: error estimates
reviewed by: A. J. Meir
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 167006