The interpolation property of the Runge-Kutta methods
- 44 Downloads
The Runge-Kutta methods possessing the interpolation property, i.e., methods in which all coefficients belong to the interval [0, 1] are studied. Explicit and implicit methods of up to the fifth order inclusive that satisfy or almost satisfy the interpolation condition are considered.
KeywordsCollocation Method Runge Kutta Method Order Method Interpolation Property Interpolation Condition
- 1.E. Hairer, S. P. Norsett, and G. Wanner, Solving of Ordinary Differential Equations. Nonstiff Problems (Mir, Moscow, 1990; Springer Verlag, 1993).Google Scholar
- 3.E. Hairer and G. Wanner, Solving of Ordinary Differential Equations. Stiff and Differential-Algebraic Problems (Mir, Moscow, 1999; Springer Verlag, 1991).Google Scholar
- 8.O. S. Kozlov, D. E. kondakov, L. M. Skvortsov, et al., Program Complex “Simulation in Technical Devices,” Available from http://model.exponenta.ru/mvtu/20050615.html.
- 10.O. S. Kozlov, L. M. Skvortsov, and V. V. Khodakovskii, Solving of Differential and Differential-Algebraic Equations in Program Complex “MBTU,” Available from http://model.exponenta.ru/mvtu/20051121.html.