Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
type: Item
instance of: scholarly article
title: Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
zbMATH Open document ID: 1153.65119
author: J. M. Franco
author: Manuel Calvo
author: J. I. Montijano
author: Luis Rández
published in: Journal of Computational and Applied Mathematics
publication date: 2008-11-20T00:00:00Z
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37M15
zbMATH DE Number: 5370040
zbMATH Keywords: exponential fitting
zbMATH Keywords: symplecticness
zbMATH Keywords: oscillatory Hamiltonian systems
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: Gauss type methods
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: j.cam.2008.01.026
OpenAlex ID: W1974281798
cites work: Q4692311
cites work: Runge-Kutta algorithms for oscillatory problems
cites work: Structure preservation of exponentially fitted Runge-Kutta methods
cites work: Mixed collocation methods for \(y''=f(x,y)\)
cites work: An embedded pair of exponentially fitted explicit Runge-Kutta methods
cites work: Runge-Kutta methods adapted to the numerical integration of oscillatory problems
cites work: Exponentially fitted explicit Runge-Kutta-Nyström methods
cites work: Numerical integration of ordinary differential equations based on trigonometric polynomials
cites work: Q4531870
cites work: Q4679151
cites work: A functional fitting Runge-Kutta method with variable coefficients
cites work: A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method
cites work: Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
cites work: Q4016507
cites work: Q4315882
cites work: An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
cites work: Exponentially-fitted explicit Runge-Kutta methods
cites work: Exponentially fitted Runge-Kutta methods
cites work: Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
cites work: Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?
cites work: A fourth-order symplectic exponentially fitted integrator
DOI: 10.1016/J.CAM.2008.01.026
description: scientific article; zbMATH DE number 5370040