A fifth order implicit method for the numerical solution of differential-algebraic equations

DOI10.1134/S096554251506010XzbMath1325.65109OpenAlexW764231229MaRDI QIDQ498581

L. M. Skvortsov

Publication date: 29 September 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251506010x

zbMATH Keywords

numerical resultsdifferential-algebraic equationsstiff equationsfinite differenceimplicit methodstwo-step Runge-Kutta methoddifferential indexObrechkoff methodorder reduction phenomenon

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) 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 differential-algebraic equations (65L80) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for stiff equations (65L04)

Related Items (2)

Collocation-variation difference schemes with several collocation points for differential-algebraic equations ⋮ On a class of conjugate symplectic Hermite-Obreshkov one-step methods with continuous spline extension

Uses Software

• RODAS
• deTestSet
• BiMD

Cites Work

• Convergence of Runge-Kutta methods for differential-algebraic systems of index 3
• Runge-Kutta collocation methods for differential-algebraic equations of indices 2 and 3
• A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
• An efficient scheme for the implementation of implicit Runge-Kutta methods
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