A Lawson-type exponential integrator for the Korteweg–de Vries equation

DOI10.1093/imanum/drz030zbMath1466.65157arXiv1807.04570OpenAlexW2980726835WikidataQ115538998 ScholiaQ115538998MaRDI QIDQ5857350

Alexander Ostermann, Chun-Mei Su

Publication date: 31 March 2021

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04570

zbMATH Keywords

error estimatesKorteweg-de Vries equationexponential integratorsLawson methodsRusanov scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (11)

Convergence error estimates at low regularity for time discretizations of KdV ⋮ Comparison of exponential integrators and traditional time integration schemes for the shallow water equations ⋮ A first-order Fourier integrator for the nonlinear Schrödinger equation on 𝕋 without loss of regularity ⋮ Embedded exponential-type low-regularity integrators for KdV equation under rough data ⋮ Numerical Integrators for Dispersion-Managed KdV Equation ⋮ An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation ⋮ Time integrators for dispersive equations in the long wave regime ⋮ Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity ⋮ A semi-discrete first-order low regularity exponential integrator for the ``good Boussinesq equation without loss of regularity ⋮ Gauge-Transformed Exponential Integrator for Generalized KdV Equations with Rough Data ⋮ A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation

This page was built for publication: A Lawson-type exponential integrator for the Korteweg–de Vries equation