Accurate solution of the nonlinear Schrödinger equation via conservative multiple-relaxation ImEx methods
DOI10.1137/23m1598118MaRDI QIDQ6654575
Abhijit Biswas, David I. Ketcheson
Publication date: 20 December 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
nonlinear Schrödinger equationstep size controlconservative systemsrelaxation approachinvariants-preserving numerical methodsImEx Runge-Kutta methods
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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