Convergence of general linear methods on differential-algebraic systems of index 3
DOI10.1007/BF02510221zbMath0879.65054OpenAlexW2076091053MaRDI QIDQ1359976
Publication date: 22 January 1998
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02510221
performancestabilityconvergencebackward differentiation formula methodsdifferential algebraic equationsRunge-Kutta methodslinear multistep methodsindex 3 problemmultistep three-stage Radau method
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)
Uses Software
Cites Work
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- Numerical experiments with a multistep Radau method
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- The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
- An implementation of singly-implicit Runge-Kutta methods
- An Efficient Solution Process for Implicit Runge–Kutta Methods
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