Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation

DOI10.1016/j.cpc.2016.05.023zbMath1375.81107OpenAlexW2412669250MaRDI QIDQ1682672

Xu Yang, Emmanuel Lorin

Publication date: 5 December 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2016.05.023

zbMATH Keywords

Schrödinger equationmultilevel methodgeometric opticsfrozen Gaussian approximationattosecond science

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications to the sciences (65Z05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions

Cites Work

• Frozen Gaussian approximation for high frequency wave propagation
• A mathematical justification for the Herman-Kluk propagator
• Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations
• Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit
• Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime
• Convergence of frozen Gaussian approximation for high-frequency wave propagation
• Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods
• Tsunami modelling with adaptively refined finite volume methods
• Computational high frequency wave propagation
• Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain

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