Implicit Runge–Kutta Methods for Differential Algebraic Equations
- 1 August 1989
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 26 (4) , 963-975
- https://doi.org/10.1137/0726053
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- Error of Runge-Kutta methods for stiff problems studied via differential algebraic equationsBIT Numerical Mathematics, 1988
- One-step and extrapolation methods for differential-algebraic systemsNumerische Mathematik, 1987
- Rosenbrock methods for Differential Algebraic EquationsNumerische Mathematik, 1987
- Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic SystemsSIAM Journal on Numerical Analysis, 1986
- Local error control inSDIRK-methodsBIT Numerical Mathematics, 1986
- Order Results for Implicit Runge–Kutta Methods Applied to Stiff SystemsSIAM Journal on Numerical Analysis, 1985
- Development and comparison of a generalized semi-implicit Runge-Kutta method with Gear's method for systems of coupled differential and algebraic equationsComputers & Chemical Engineering, 1984
- Gear's procedure for the simultaneous solution of differential and algebraic equations with application to unsteady state distillation problemsComputers & Chemical Engineering, 1982
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’sSIAM Journal on Numerical Analysis, 1977
- Implicit Runge-Kutta processesMathematics of Computation, 1964