An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations
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Publication:6551796
DOI10.1016/j.cnsns.2024.108082MaRDI QIDQ6551796
Liu Yu, Changhui Yao, Yanping Chen
Publication date: 7 June 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Extrapolation to the limit, deferred corrections (65B05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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