Stability properties of explicit exponential Runge-Kutta methods

DOI10.1093/imanum/drr055zbMath1271.65117OpenAlexW2085442157MaRDI QIDQ4907963

Stefano Maset, Marino Zennaro

Publication date: 27 February 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr055

zbMATH Keywords

stabilitynumerical examplesinitial value problemsexponential Runge-Kutta methodsnonstiff linear partstiff linear part

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (8)

Convergence and stability of exponential integrators for semi-linear stochastic variable delay integro-differential equations ⋮ Convergence and stability of exponential integrators for semi-linear stochastic pantograph integro-differential equations with jump ⋮ Stability analysis of explicit exponential integrators for delay differential equations ⋮ Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations ⋮ High order explicit exponential Runge-Kutta methods for semilinear delay differential equations ⋮ Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations ⋮ Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations ⋮ D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations

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