Numerical Clifford analysis for nonlinear Schrödinger problem

DOI10.1002/num.20312zbMath1170.65071arXiv0706.0433OpenAlexW2150775835MaRDI QIDQ3514650

Nelson Vieira, Nelson Faustino, Paula Cerejeiras

Publication date: 21 July 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0433

zbMATH Keywords

stabilityconvergenceconsistencynumerical examplesnonlinear Schrödinger equationfinite difference methodsdiscrete fundamental solutionparabolic Dirac operatorsWitt basis elements

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Maximum principle for the regularized Schrödinger operator ⋮ On fractional semidiscrete Dirac operators of Lévy–Leblond type ⋮ On the construction of solutions for the parabolic Dirac operator and equivalent systems ⋮ Cauchy formulae and Hardy spaces in discrete octonionic analysis ⋮ Relativistic Wave Equations on the Lattice: An Operational Perspective ⋮ On a factorization of the Schrödinger and Klein-Gordon operators ⋮ Discrete Hardy spaces for bounded domains in \(\mathbb{R}^n\) ⋮ Discrete Hardy spaces ⋮ Script Geometry ⋮ Discrete Hilbert boundary value problems on half lattices

Cites Work

• Unnamed Item
• On finite difference Dirac operators and their fundamental solutions

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