A combination of multiscale time integrator and two-scale formulation for the nonlinear Schrödinger equation with wave operator

DOI10.1016/j.cam.2017.06.006zbMath1370.65050OpenAlexW2625527177MaRDI QIDQ2012610

Xiaofei Zhao

Publication date: 1 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.06.006

zbMATH Keywords

convergencenumerical experimenttwo-scale formulationorder reductionexponential integratorhighly oscillatorymultiscale decompositionuniformly accuratenonlinear Schrödinger equation with wave operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (7)

An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator ⋮ Uniformly accurate nested Picard iterative integrators for the Klein-Gordon equation in the nonrelativistic regime ⋮ Uniformly accurate nested Picard integrators for a system of oscillatory ordinary differential equations ⋮ On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrödinger Equation with Wave Operator ⋮ Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator

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