Diagonally implicit Runge-Kutta methods for stiff ODEs

DOI10.1016/j.apnum.2019.07.008zbMath1437.65061OpenAlexW2956395387MaRDI QIDQ2273078

Mark H. Carpenter, Christopher A. Kennedy

Publication date: 18 September 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.07.008

zbMATH Keywords

L-stabilityembedded methodL-stablesimplifying assumptionssingular perturbation equations

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

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Uses Software

• RODAS

Cites Work

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• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
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• Solving Ordinary Differential Equations I
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Implicit Runge-Kutta Processes
• Numerical Methods for Ordinary Differential Equations

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