A fully discrete low-regularity integrator for the nonlinear Schrödinger equation

DOI10.1007/s10915-022-01786-yzbMath1491.65085arXiv2108.04794OpenAlexW3191571649MaRDI QIDQ2113651

Fangyan Yao, Alexander Ostermann

Publication date: 14 March 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.04794

zbMATH Keywords

fast Fourier transformnonlinear Schrödinger equationlow regularityfully discrete

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

A semi-discrete first-order low regularity exponential integrator for the ``good Boussinesq equation without loss of regularity ⋮ Low-regularity integrator for the Davey-Stewartson II system ⋮ Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity ⋮ Unnamed Item

Cites Work

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