An algorithm for exact integration of some forced and damped oscillatory problems, based in the \(\tau \)-functions
type: Item
instance of: scholarly article
title: An algorithm for exact integration of some forced and damped oscillatory problems, based in the \(\tau \)-functions
zbMATH Open document ID: 1201.65121
published in: Advances in Engineering Software
publication date: 2010-11-05T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L04
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 5810884
zbMATH Keywords: series methods
zbMATH Keywords: perturbed oscillators
zbMATH Keywords: \(\varphi \)-functions series
zbMATH Keywords: stiff problems
zbMATH Keywords: highly oscillatory problems
zbMATH Keywords: numerical examples
zbMATH Keywords: forced and damped oscillators
zbMATH Keywords: \(G\)-function
zbMATH Keywords: algorithm
zbMATH Keywords: local truncation error
author: José A. Reyes
author: Fernando García-Alonso
author: Yolanda Villacampa
MaRDI profile type: Publication
full work available at URL: j.advengsoft.2010.07.006
OpenAlex ID: W1992860200
cites work: Stabilization of Cowell's method
cites work: Numerical integration of products of Fourier and ordinary polynomials
cites work: Stabilization of finite difference methods of numerical integration
cites work: Q5633692
cites work: On numerical integration of perturbed linear oscillating systems
cites work: A study of extrapolation methods based on multistep schemes without parasitic solutions
cites work: Families of methods for ordinary differential equations based on trigonometric polynomials
cites work: A new numerical method for the integration of highly oscillatory second-order ordinary differential equations
cites work: Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
cites work: A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
cites work: VSVO multistep formulae adapted to perturbed second-order differential equations
cites work: Q3183048
cites work: Backward differentiation formulae adapted to scalar linear equations
cites work: Modified backward differentiation methods of the Adams-type based on exponential interpolation
cites work: Exponentially fitted variable two-step BDF algorithm for first order ODEs
cites work: Optimal implicit exponentially-fitted Runge-Kutta methods
cites work: Numeric multistep variable methods for perturbed linear system integration
cites work: Multistep numerical methods for the integration of oscillatory problems in several frequencies
cites work: Frequency evaluation in exponential fitting multistep algorithms for ODEs
cites work: Q4002473
cites work: An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
cites work: Q4681672
cites work: Behaviour of the SMF method for the numerical integration of satellite orbits
DOI: 10.1016/J.ADVENGSOFT.2010.07.006
description: scientific article; zbMATH DE number 5810884