Positivity of exponential Runge-Kutta methods

DOI10.1007/s10543-007-0124-1zbMath1125.65068OpenAlexW1970646811MaRDI QIDQ996813

Marnix van Daele, Alexander Ostermann

Publication date: 19 July 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0124-1

zbMATH Keywords

numerical examplesabstract evolution equationsexponential Runge-Kutta methodspositive preservation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (7)

Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations ⋮ Stability analysis of explicit exponential integrators for delay differential equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation ⋮ Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations ⋮ A second-order positivity preserving scheme for semilinear parabolic problems ⋮ Asymptotical stability of numerical methods for semi-linear impulsive differential equations

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