A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator
type: Item
instance of: scholarly article
title: A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator
zbMATH Open document ID: 1370.65050
author: Xiaofei Zhao
published in: Journal of Computational and Applied Mathematics
publication date: 2017-08-01T00:00:00Z
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6755398
zbMATH Keywords: nonlinear Schrödinger equation with wave operator
zbMATH Keywords: highly oscillatory
zbMATH Keywords: multiscale decomposition
zbMATH Keywords: two-scale formulation
zbMATH Keywords: uniformly accurate
zbMATH Keywords: order reduction
zbMATH Keywords: convergence
zbMATH Keywords: exponential integrator
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: j.cam.2017.06.006
OpenAlex ID: W2625527177
cites work: Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator
cites work: Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator
cites work: Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
cites work: Q4824316
cites work: Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
cites work: From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations
cites work: Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
cites work: A singular perturbation problem for an envelope equation in plasma physics
cites work: Semidiscretization in time for nonlinear Schrödinger-wave equations
cites work: Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse
cites work: Modeling light bullets with the two-dimensional sine-Gordon equation
cites work: Vortex dynamics for nonlinear Klein-Gordon equation
cites work: A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
cites work: Q515854
cites work: A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime
cites work: Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
cites work: Uniformly Accurate Multiscale Time Integrators for Highly Oscillatory Second Order Differential Equations
cites work: Spectral Methods for Time-Dependent Problems
cites work: Spectral Methods
cites work: Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
cites work: Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
cites work: An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
cites work: On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime
cites work: Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations
cites work: Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson Equations
cites work: A Gautschi-type method for oscillatory second-order differential equations
cites work: Numerical integration of ordinary differential equations based on trigonometric polynomials
cites work: On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
cites work: An exponential wave integrator pseudo-spectral method for the symmetric regularized-long-wave equation
cites work: Exponential integrators
cites work: Mathematical theory and numerical methods for Bose-Einstein condensation
DOI: 10.1016/J.CAM.2017.06.006
description: scientific article; zbMATH DE number 6755398