A second-order fast Huygens sweeping method for time-dependent Schrödinger equations with perfectly matched layers

DOI10.1007/s10915-021-01560-6zbMath1490.65230OpenAlexW3185367614MaRDI QIDQ2051053

Yijin Gao, Songting Luo, Jay P. Mayfield

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/s10915-021-01560-6

zbMATH Keywords

FFTHuygens' principlelow-rank approximationStrang operator splittingsemi-classical approximationfast Huygens sweeping method

Mathematics Subject Classification ID

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 (3)

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

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