Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

DOI10.1137/040611434zbMath1093.65052OpenAlexW2090704787MaRDI QIDQ5700307

Alexander Ostermann, Marlis Hochbruck

Publication date: 28 October 2005

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

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000042061

zbMATH Keywords

convergencesemilinear parabolic problemsnumerical experimentserror boundsBanach spaceorder reductionexponential integratorsstiff order conditionsRunge--Kutta methodsexplicit high-order methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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 equations with nonlinear operators (65J15) Error bounds for numerical methods for ordinary differential equations (65L70)

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