A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime

DOI10.1137/17M1113333zbMath1390.35317OpenAlexW2794548689MaRDI QIDQ4610148

Chun-Mei Su, Weizhu Bao

Publication date: 5 April 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1113333

zbMATH Keywords

nonlinear Schrödinger equationexponential wave integratortime-splittingZakharov systemmultiscale decompositionmultiscale time integratorsubsonic limit regimeuniformly and optimally accurateasymptotic consistent formulation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (16)

Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system ⋮ A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime ⋮ A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation ⋮ Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime ⋮ The local discontinuous Galerkin method for the nonlinear quantum Zakharov system ⋮ Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential ⋮ Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations ⋮ Uniform error bound of a Crank–Nicolson‐type finite difference scheme for Zakharov system in the subsonic limit regime ⋮ Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential ⋮ A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ Efficient and accurate SAV schemes for the generalized Zakharov systems ⋮ A conservative linearly-implicit compact difference scheme for the quantum Zakharov system ⋮ Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity

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