Second derivative general linear methods
type: Item
instance of: scholarly article
title: Second derivative general linear methods
zbMATH Open document ID: 1305.65168
author: R. I. Okuonghae
author: M. N. O. Ikhile
published in: Numerical Algorithms
publication date: 2014-12-16T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L04
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 6380845
zbMATH Keywords: general linear method
zbMATH Keywords: \(A(\alpha)\)-stability
zbMATH Keywords: \(L\)-stability
zbMATH Keywords: numerical example
zbMATH Keywords: second derivative Runge Kutta methods
zbMATH Keywords: stiff initial value problems
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: s11075-013-9814-8
OpenAlex ID: W2071562924
cites work: An extension of general linear methods
cites work: Maximal order for second derivative general linear methods with Runge-Kutta stability
cites work: Non-linear stability of a general class of differential equation methods
cites work: On the Convergence of Numerical Solutions to Ordinary Differential Equations
cites work: General linear method: A survey
cites work: General linear methods
cites work: Q4725642
cites work: Numerical Methods for Ordinary Differential Equations
cites work: Nordsieck methods with an off-step point
cites work: ARK methods for stiff problems
cites work: Second derivative methods with RK stability
cites work: A special stability problem for linear multistep methods
cites work: Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
cites work: Hybrid Methods for Initial Value Problems in Ordinary Differential Equations
cites work: Generalized Multistep Predictor-Corrector Methods
cites work: Q4714145
cites work: Some new additive Runge-Kutta methods and their applications
cites work: Multistep Methods With Modified Predictors and Correctors
cites work: A class of continuous hybrid linear multistep methods for stiff IVPs in ODEs
cites work: A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs
cites work: Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs
cites work: The numerical solution of stiff IVPs in ODEs using modified second derivative BDF
cites work: On the construction of high order A(α)-stable hybrid linear multistep methods for stiff IVPs in ODEs
cites work: A class of hybrid linear multistep methods with \(A(\alpha)\)-stability properties for stiff IVPs in ODEs
cites work: Variable order explicit second derivative general linear methods
cites work: On explicit two-derivative Runge-Kutta methods
cites work: Explicit general linear methods with inherent Runge--Kutta stability
DOI: 10.1007/S11075-013-9814-8
description: scientific article; zbMATH DE number 6380845