On the convergence of Lawson methods for semilinear stiff problems

DOI10.1007/s00211-020-01120-4zbMath1453.65269arXiv1709.01000OpenAlexW3029245030WikidataQ125047113 ScholiaQ125047113MaRDI QIDQ777507

Jan Leibold, Alexander Ostermann, Marlis Hochbruck

Publication date: 7 July 2020

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01000

zbMATH Keywords

stiff problemsconvergence behaviourLawson method

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08) Numerical methods for stiff equations (65L04) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations ⋮ Optimized integrating factor technique for Schrödinger-like equations ⋮ A second order directional split exponential integrator for systems of advection-diffusion-reaction equations ⋮ On averaged exponential integrators for semilinear wave equations with solutions of low-regularity ⋮ Convergence of exponential Lawson-multistep methods for the MCTDHF equations ⋮ A General Framework of Low Regularity Integrators

Uses Software

• SPIP

Cites Work

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