A fourth-order commutator-free exponential integrator for nonautonomous differential equations

DOI10.1137/05063042zbMath1115.65062OpenAlexW2113404591MaRDI QIDQ5470983

Mechthild Thalhammer

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/05063042

zbMATH Keywords

stabilityconvergenceparabolic evolution equationexponential integratorcommutator-free method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (12)

Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems ⋮ Time-Average on the Numerical Integration of Nonautonomous Differential Equations ⋮ Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs ⋮ Numerical time propagation of quantum systems in radiation fields ⋮ High-order commutator-free quasi-Magnus exponential integrators for non-autonomous~linear evolution equations ⋮ High-order splitting methods for separable non-autonomous parabolic equations ⋮ High-order commutator-free exponential time-propagation of driven quantum systems ⋮ Efficient time integration methods for Gross-Pitaevskii equations with rotation term ⋮ An efficient numerical treatment for the asymptotic behaviour of the nonlinear Airy-type problems ⋮ Parallel-In-Time Magnus Integrators ⋮ Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability ⋮ Stiff convergence of force-gradient operator splitting methods

This page was built for publication: A fourth-order commutator-free exponential integrator for nonautonomous differential equations