High-order splitting schemes for semilinear evolution equations

DOI10.1007/s10543-016-0604-2zbMath1355.65071OpenAlexW2258213099MaRDI QIDQ727895

Eskil Hansen, Alexander Ostermann

Publication date: 21 December 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://lup.lub.lu.se/record/8598694

zbMATH Keywords

convergencehigh-order methodsnonlinear wave equationsRunge-Kutta schemessemilinear evolution equationsexponential splittingsplitting schemesdiffusion-reaction processesstiff orders

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Semilinear parabolic equations (35K58) Numerical solutions to abstract evolution equations (65J08) Numerical methods for stiff equations (65L04)

Related Items (8)

Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations ⋮ A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation ⋮ Full-rank and low-rank splitting methods for the Swift-Hohenberg equation ⋮ On exponential splitting methods for semilinear abstract Cauchy problems ⋮ Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation ⋮ Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function ⋮ On the splitting method for the nonlinear Schrödinger equation with initial data in \(H^1\) ⋮ On the convergence of Lawson methods for semilinear stiff problems

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