Asymptotic solvers for second-order differential equation systems with multiple frequencies
type: Item
instance of: scholarly article
title: Asymptotic solvers for second-order differential equation systems with multiple frequencies
zbMATH Open document ID: 1311.65090
author: Marissa Condon
author: Alfredo Deaño
author: Jing Gao
author: Arieh Iserles
published in: Calcolo
publication date: 2015-03-23T00:00:00Z
full work available at URL: http://doras.dcu.ie/18422/
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 6418669
zbMATH Keywords: highly oscillatory problems
zbMATH Keywords: second-order differential equations
zbMATH Keywords: modulated Fourier expansions
zbMATH Keywords: multiple frequencies
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: numerical experiment
zbMATH Keywords: asymptotic method
MaRDI profile type: Publication
OpenAlex ID: W1966687701
Wikidata QID: Q115385383
cites work: Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control
cites work: Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator
cites work: Q3521379
cites work: Modulated Fourier expansions of highly oscillatory differential equations
cites work: On systems of differential equations with extrinsic oscillation
cites work: On second-order differential equations with highly oscillatory forcing terms
cites work: Asymptotic solvers for ordinary differential equations with multiple frequencies
cites work: Synchronizing modified van der Pol–Duffing oscillators with offset terms using observer design: application to secure communications
cites work: Solving Ordinary Differential Equations I
cites work: Geometric Numerical Integration
cites work: Modulated Fourier expansions and heterogeneous multiscale methods
DOI: 10.1007/S10092-013-0078-4
Recommended article: Asymptotic solvers for ordinary differential equations with multiple frequencies
Recommended article: Asymptotic-numerical solvers for highly oscillatory second-order differential equations
Recommended article: Asymptotic solvers for oscillatory systems of differential equations
Recommended article: On the numerical solution of second order ordinary differential equations in the high-frequency regime
Recommended article: A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems
Recommended article: Q3970743
Recommended article: Asymptotic solutions for second-order differential equations
Recommended article: Density of the transition probability for one class of generalized diffusion processes
Recommended article: Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method
Recommended article: Multifrequency Routh approximants for linear systems
description: scientific article; zbMATH DE number 6418669