Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers
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Publication:4631414
DOI10.1137/18M119690XzbMath1411.65142OpenAlexW2923932067MaRDI QIDQ4631414
Publication date: 29 March 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m119690x
fast Fourier transformSchrödinger equationChebyshev interpolationlow-rank approximationsfast Huygens sweeping
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)
Related Items (5)
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation ⋮ An asymptotic Green's function method for the wave equation ⋮ An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations ⋮ Numerical solutions of the time‐dependent Schrödinger equation with position‐dependent effective mass ⋮ A second-order fast Huygens sweeping method for time-dependent Schrödinger equations with perfectly matched layers
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