Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics

DOI10.4310/CMS.2015.v13.n5.a1zbMath1326.35349arXiv1305.7205MaRDI QIDQ500886

Jeremy L. Marzuola, Jian-feng Lu

Publication date: 8 October 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.7205

zbMATH Keywords

stabilityconvergenceblow-upquasilinear Schrödinger equationsStrang splitting

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44)

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Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation ⋮ Trigonometric integrators for quasilinear wave equations ⋮ Ground states of Bose-Einstein condensates with higher order interaction ⋮ Strang splitting for a semilinear Schrödinger equation with damping and forcing ⋮ On the splitting method for the nonlinear Schrödinger equation with initial data in \(H^1\) ⋮ A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations

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