Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators
type: Item
instance of: scholarly article
title: Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators
zbMATH Open document ID: 1471.65071
author: Ting Huang
author: Xiong You
author: Juan Zheng
author: Bin Wang
author: Yonglei Fang
published in: Journal of Computational and Applied Mathematics
publication date: 2021-04-23T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 7337439
zbMATH Keywords: linear multi-step method
zbMATH Keywords: symmetric method
zbMATH Keywords: two-frequency trigonometrically-fitting
zbMATH Keywords: phase lag
MaRDI profile type: Publication
full work available at URL: j.cam.2020.113312
OpenAlex ID: W3130500409
cites work: Special perturbation theory methods in celestial mechanics. I: Principles for the construction and substantiation of the application
cites work: Solving Ordinary Differential Equations I
cites work: Exponentially-fitted explicit Runge-Kutta methods
cites work: An exponentially-fitted high order method for long-term integration of periodic initial-value problems
cites work: An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
cites work: A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations
cites work: A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems
cites work: Variable stepsize Störmer-Cowell methods
cites work: On the choice of the frequency in trigonometrically-fitted methods for periodic problems
cites work: A numerical ODE solver that preserves the fixed points and their stability
cites work: A first approach in solving initial-value problems in ODEs by elliptic fitting methods
cites work: Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations
cites work: Exponential Fourier Collocation Methods for Solving First-Order Differential Equations
cites work: Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
cites work: Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations
cites work: The boundness of the operator-valued functions for multidimensional nonlinear wave equations with applications
cites work: Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems
cites work: Triangular splitting implementation of RKN‐type Fourier collocation methods for second‐order differential equations
cites work: On accuracy and unconditional stability of linear multistep methods for second order differential equations
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: Q4679151
cites work: Efficient energy-preserving methods for general nonlinear oscillatory Hamiltonian system
cites work: Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems
cites work: Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations
cites work: Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
cites work: Extended RKN-type methods for numerical integration of perturbed oscillators
cites work: Two-step extended RKN methods for oscillatory systems
cites work: New explicit adapted Numerov methods for second-order oscillatory differential equations
cites work: A novel family of P-stable symmetric extended linear multistep methods for oscillators
cites work: Chebyshevian multistep methods for ordinary differential equations
cites work: Two-frequency-dependent Gauss quadrature rules
cites work: Trigonometrically-fitted method for a periodic initial value problem with two frequencies
cites work: Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
cites work: Q5674335
cites work: P-stability and exponential-fitting methods for y'' = f(x,y)
cites work: A finite-difference method for the numerical solution of the Schrödinger equation
cites work: A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions
cites work: A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions
cites work: High-order P-stable multistep methods
DOI: 10.1016/J.CAM.2020.113312
Recommended article: Symmetric trigonometrically-fitted two-step hybrid methods for oscillatory problems
Recommended article: Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
Recommended article: Trigonometrically fitted nonlinear two-step methods for solving second order oscillatory IVPs
Recommended article: Trigonometrically fitted multi-step hybrid methods for oscillatory special second-order initial value problems
Recommended article: Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations
Recommended article: Trigonometrically fitted two-derivative Runge-Kutta methods for solving oscillatory differential equations
Recommended article: Trigonometrically fitted multi-step RKN methods for second-order oscillatory initial value problems
Recommended article: Q4975298
Recommended article: Trigonometrically-fitted method for a periodic initial value problem with two frequencies
Recommended article: An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies
description: scientific article; zbMATH DE number 7337439