High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

DOI10.4208/NMTMA.2011.M1036zbMath1265.35355OpenAlexW2124900189MaRDI QIDQ2916285

Hao Wu

Publication date: 5 October 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m1036

zbMATH Keywords

finite difference methodSchrödinger equationimmersed interface methoddiscontinuous potential

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Energy-preserving methods for non-smooth nonlinear Schrödinger equations

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