A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations

DOI10.1016/j.jcp.2021.110316OpenAlexW3138048675WikidataQ115350075 ScholiaQ115350075MaRDI QIDQ2131087

Luis Rández, Manuel Calvo, Juan I. Montijano

Publication date: 25 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110316

zbMATH Keywords

differential equationsRunge-Kutta methodsstiff problemstime-marching methods

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Ordinary differential equations (34-XX) General theory for ordinary differential equations (34Axx)

Related Items (6)

Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Generalized TASE-RK methods for stiff problems ⋮ Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model

Cites Work

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• An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results
• Strong A-acceptability for rational functions
• Time-accurate and highly-stable explicit operators for stiff differential equations

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