An exponential integrator for non-autonomous parabolic problems

zbMath1312.65210MaRDI QIDQ2341365

Marlis Hochbruck, David Hipp, Alexander Ostermann

Publication date: 24 April 2015

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol41/abstract_vol41_pp497-511.html

zbMATH Keywords

Runge-Kutta methodparabolic problemsexponential integratorsMagnus integratorevolving domainstime-dependent operators

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems ⋮ Magnus-type integrator for non-autonomous SPDEs driven by multiplicative noise ⋮ A Block Krylov Method to Compute the Action of the Fréchet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation ⋮ On exponential splitting methods for semilinear abstract Cauchy problems ⋮ Structure-preserving Exponential Runge--Kutta Methods ⋮ Strong convergence of the linear implicit Euler method for the finite element discretization of semilinear non-autonomous SPDEs driven by multiplicative or additive noise ⋮ Krylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modeling

Uses Software

• VODE
• RODAS

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