On the global error of special Runge-Kutta methods applied to linear differential algebraic equations

DOI10.1016/j.aml.2014.08.014zbMath1325.65115OpenAlexW1996026842MaRDI QIDQ2343676

S. González-Pinto, D. Hernández-Abreu, Kristian Debrabant

Publication date: 6 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2014.08.014

zbMATH Keywords

strict stabilityLobatto IIIA methodsRunge-Kutta collocation methodslinear differential algebraic equationsRadau IIA methodsSAFERK methodshigher index problems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (1)

Strong convergence and almost sure exponential stability of balanced numerical approximations to stochastic delay Hopfield neural networks

Uses Software

• RODAS

Cites Work

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