Domain decomposition method for nonlinear generalized Schrödinger-type systems: Semi-discrete problem

DOI10.1016/0096-3003(95)00159-XzbMath0846.65045MaRDI QIDQ1914676

Qi-Ming He

Publication date: 23 June 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

convergencedomain decompositionmethod of linessemidiscretizationnonlinear evolution systemslarge scale and nonlinear systemsnonlinear generalized Schrödinger-type systems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (1)

Domain decomposition techniques for reaction-diffusion equations in two-dimensional regions with re-entrant corners

Cites Work

• Lectures on the Inverse Scattering Transform
• Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
• On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation
• Stable Explicit Schemes for Equations of the Schrödinger Type
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