Trigonometrically fitted nonlinear two-step methods for solving second order oscillatory IVPs
type: Item
instance of: scholarly article
title: Trigonometrically fitted nonlinear two-step methods for solving second order oscillatory IVPs
zbMATH Open document ID: 1410.65261
author: Y. Aharonov
published in: Applied Mathematics and Computation
publication date: 2018-06-22T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6893657
zbMATH Keywords: nonlinear two-step methods
zbMATH Keywords: trigonometrical fitting
zbMATH Keywords: vector product and quotient
zbMATH Keywords: second order oscillatory differential systems
MaRDI profile type: Publication
full work available at URL: j.amc.2014.01.078
OpenAlex ID: W2165056107
cites work: Q4692311
cites work: Numerical integration of ordinary differential equations based on trigonometric polynomials
cites work: Runge-Kutta algorithms for oscillatory problems
cites work: A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
cites work: Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
cites work: A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
cites work: Extended RKN-type methods for numerical integration of perturbed oscillators
cites work: Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
cites work: Exponentially-fitted explicit Runge-Kutta methods
cites work: Exponentially fitted Runge-Kutta methods
cites work: Mixed collocation methods for \(y''=f(x,y)\)
cites work: A functional fitting Runge-Kutta method with variable coefficients
cites work: Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
cites work: Frequency evaluation in exponential fitting multistep algorithms for ODEs
cites work: An embedded pair of exponentially fitted explicit Runge-Kutta methods
cites work: Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
cites work: Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?
cites work: Exponentially fitted explicit Runge-Kutta-Nyström methods
cites work: Q4679151
cites work: A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method
cites work: Geometric numerical integration by means of exponentially-fitted methods
cites work: Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems
cites work: Structure preservation of exponentially fitted Runge-Kutta methods
cites work: Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
cites work: A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions
cites work: A robust trigonometrically fitted embedded pair for perturbed oscillators
cites work: Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
cites work: On the frequency choice in trigonometrically fitted methods
cites work: A two-step explicit \(P\)-stable method for solving second order initial value problems.
cites work: A two-step explicit \(P\)-stable method of high phase-lag order for second order IVPs.
cites work: A class of two-step explicit methods for periodic IVPs
cites work: Rational Runge-Kutta methods for solving systems of ordinary differential equations
cites work: Rational Runge-Kutta methods are not suitable for stiff systems of ODEs
cites work: Numerov made explicit has better stability
DOI: 10.1016/J.AMC.2014.01.078
description: scientific article; zbMATH DE number 6893657