An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. II: Convergence results

DOI10.1016/j.apnum.2012.06.010zbMath1260.65064OpenAlexW1976542395MaRDI QIDQ450895

S. González-Pinto, D. Hernández-Abreu, Juan I. Montijano

Publication date: 26 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.010

zbMATH Keywords

differential-algebraic equationscollocation methodsstiff systemsRunge-Kutta methodsglobal order of convergencestrong A-stability

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Numerical methods for stiff equations (65L04)

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Uses Software

• RODAS

Cites Work

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