Exponential methods for singularly perturbed ordinary differential-difference equations
type: Item
instance of: scholarly article
title: Exponential methods for singularly perturbed ordinary differential-difference equations
zbMATH Open document ID: 1107.65067
published in: Applied Mathematics and Computation
publication date: 2007-01-11T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 5115423
zbMATH Keywords: linear second-order ordinary differential-difference equations
zbMATH Keywords: exponential methods
zbMATH Keywords: piecewise linear methods
zbMATH Keywords: delay equations
zbMATH Keywords: non-standard finite difference techniques
zbMATH Keywords: numerical examples
zbMATH Keywords: singular perturbation
zbMATH Keywords: advection-reaction-diffusion operators
author: Juan I. Ramos
MaRDI profile type: Publication
full work available at URL: j.amc.2006.05.040
OpenAlex ID: W2067976066
cites work: Heat waves
cites work: State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
cites work: Formation and propagation of localized states in extended systems
cites work: Fixed points, stability, and exact linearization
cites work: Hopf and resonant codimension two bifurcation in van der Pol equation with two time delays
cites work: On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems
cites work: Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations
cites work: Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Quations II. Rapid Oscillations and Resonances
cites work: Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems
cites work: Singular Perturbation Analysis of Boundary Value Problems for Differential‐Difference Equations. IV. A Nonlinear Example with Layer Behavior
cites work: Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior
cites work: Numerical analysis of singularly perturbed delay differential equations with layer behavior
cites work: Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
cites work: ϵ-Uniform fitted mesh method for singularly perturbed differential-difference equations: Mixed type of shifts with layer behavior
cites work: \(\epsilon\)-uniformly convergent nonstandard finite difference methods for singularly perturbed differential difference equations with small delay
cites work: Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
cites work: Nonstandard finite difference schemes
cites work: On diffusive methods and exponentially fitted techniques
cites work: Equivalence of \(C^0\) and \(C^1\) methods for ODE's
cites work: A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
cites work: An exponentially fitted method for singularly perturbed ordinary differential equations with turning points and parabolic problems
cites work: Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization
cites work: Exponentially-fitted methods on layer-adapted meshes
cites work: Singular perturbation methods for ordinary differential equations
cites work: Q4485828
cites work: Q4486278
DOI: 10.1016/J.AMC.2006.05.040
description: scientific article; zbMATH DE number 5115423