Nested second derivative two-step Runge-Kutta methods
type: Item
instance of: scholarly article
title: Nested second derivative two-step Runge-Kutta methods
zbMATH Open document ID: 1499.65288
author: P. O. Olatunji
author: M. N. O. Ikhile
author: R. I. Okuonghae
published in: International Journal of Applied and Computational Mathematics
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 7489872
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: \(L\)-stability
zbMATH Keywords: error estimation
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: s40819-021-01169-1
OpenAlex ID: W3216523239
cites work: An extension of general linear methods
cites work: Maximal order for second derivative general linear methods with Runge-Kutta stability
cites work: On the Convergence of Numerical Solutions to Ordinary Differential Equations
cites work: Second derivative methods with RK stability
cites work: Numerical Methods for Ordinary Differential Equations
cites work: Linear multistep methods as irreducible general linear methods
cites work: On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
cites work: Construction of two-step Runge--Kutta methods with large regions of absolute stability
cites work: Two-step Runge-Kutta methods with quadratic stability functions
cites work: Construction of two-step Runge-Kutta methods of high order of ordinary differential equations
cites work: Continuous two-step Runge-Kutta methods for ordinary differential equations
cites work: Two-step almost collocation methods for ordinary differential equations
cites work: Construction and implementation of highly stable two-step continuous methods for stiff differential systems
cites work: Explicit two-step Runge-Kutta methods
cites work: Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
cites work: Two-Step Runge–Kutta Methods
cites work: A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
cites work: Second derivative general linear methods
cites work: On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
cites work: A note on unconditionally stable linear multistep methods
cites work: Equivalent Forms of Multistep Formulas
cites work: Strongly regular general linear methods
cites work: Q4040297
cites work: Adaptive nested implicit Runge-Kutta formulas of Gauss type
cites work: A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations
cites work: Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
cites work: Implementation of Nordsieck second derivative methods for stiff ODEs
cites work: Generalized second derivative linear multistep methods based on the methods of Enright
cites work: A generalized family of symmetric multistep methods with minimal phase-lag for initial value problems in ordinary differential equations
cites work: Inverse hybrid linear multistep methods for solving the second order initial value problems in ordinary differential equations
cites work: Q4002473
cites work: Q3993493
cites work: A class of two-derivative two-step Runge-Kutta methods for non-stiff ODEs
cites work: On explicit two-derivative two-step Runge-Kutta methods
cites work: Efficient two-step Runge-Kutta methods for fluid dynamics simulations
cites work: Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates
cites work: Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
cites work: PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION
cites work: Q3562881
cites work: Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
cites work: Solving Ordinary Differential Equations II
DOI: 10.1007/S40819-021-01169-1
description: scientific article; zbMATH DE number 7489872