Implicit extension of Taylor series method with numerical derivatives for initial value problems
type: Item
instance of: scholarly article
title: Implicit extension of Taylor series method with numerical derivatives for initial value problems
zbMATH Open document ID: 1092.65056
author: E. Miletics
author: Gy. Molnárka
publication date: 2006-02-16T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 5006953
zbMATH Keywords: numerical derivatives
zbMATH Keywords: finite differences
zbMATH Keywords: implicit algorithms
zbMATH Keywords: collocation methods
zbMATH Keywords: implementation aspects
zbMATH Keywords: numerical examples
zbMATH Keywords: Taylor series method
zbMATH Keywords: initial value problems
zbMATH Keywords: adaptive error control
zbMATH Keywords: consistency
zbMATH Keywords: stability
describes a project that uses: RODAS
describes a project that uses: ATOMFT
describes a project that uses: Taylor
MaRDI profile type: Publication
full work available at URL: j.camwa.2005.08.017
OpenAlex ID: W1998584541
cites work: A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series
cites work: Q3207999
cites work: Q3779682
cites work: Q4000061
cites work: Implicit single step methods by spline-like functions for solution of ordinary differential equations
cites work: Consistency and stability for some nonnegativity-conserving methods
cites work: ATOMFT: Solving ODEs and DAEs using Taylor series
cites work: An efficient method for the numerical evaluation of partial derivatives of arbitrary order
cites work: On the Schur component preconditioners
DOI: 10.1016/J.CAMWA.2005.08.017
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5006953