Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis

DOI10.1007/s10915-021-01576-yzbMath1491.65111OpenAlexW3191223093MaRDI QIDQ2051085

Qingqu Zhuang, Beichuan Deng, Jie Shen

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01576-y

zbMATH Keywords

error analysisnonlinear Schrödinger equationenergy conservationHermite spectral methodSAV approach

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical integration (65D30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Efficient SAV-Hermite methods for the nonlinear Dirac equation

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