Algebraic approximants and the numerical solution of parabolic equations
type: Item
instance of: scholarly article
title: Algebraic approximants and the numerical solution of parabolic equations
zbMATH Open document ID: 0944.65097
DOI: 10.1016/S0377-0427(99)00042-4
published in: Journal of Computational and Applied Mathematics
publication date: 1999-09-12T00:00:00Z
review text: The purpose of this paper is to develop a formalism which allows the straightforward derivation of finite difference schemes which involves several prior times from general approximation. A methodology is developed with sound mathematical derivation. Finally, theorems and experimentations are presented for the analysis which shows interesting results.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1334856
zbMATH Keywords: parabolic equations
zbMATH Keywords: finite difference schemes
author: George A. jun. Baker
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: An investigation of the applicability of the Padé approximant method
cites work: Q4856607
cites work: A-Stable Methods and Padé Approximations to the Exponential
cites work: Order Stars, Approximations and Finite Differences. III Finite Differences for $u_t = \omega u_{xx} $
cites work: On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
description: scientific article; zbMATH DE number 1334856