Multiple relaxation exponential Runge-Kutta methods for the nonlinear Schrödinger equation
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Publication:6658285
DOI10.1137/23m1606034MaRDI QIDQ6658285
Publication date: 8 January 2025
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
nonlinear Schrödinger equationhigh-order accuracyrelaxation techniqueexponential Runge-Kutta methodsstructure-preserving methods
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) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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