Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials

DOI10.1137/070699433zbMath1173.65341OpenAlexW2161730981MaRDI QIDQ3183334

Zhongyi Huang, Christof Sparber, Shih Jin, Peter Alexander Markowich

Publication date: 19 October 2009

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1c640011c3261acf3685a07fae0f457fd7014dca

zbMATH Keywords

nonlinear Schrödinger equationThomas-Fermi approximationBose-Einstein condensatestime-splitting spectral methodBloch decompositionlattice potential

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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