Stepsize control for delay differential equations using continuously imbedded Runge-Kutta methods of Sarafyan
From MaRDI portal
Publication:919759
DOI10.1016/0377-0427(90)90169-ZzbMath0707.65050MaRDI QIDQ919759
Publication date: 1990
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
delay differential equationsstepsize controlone-step methodsinterpolation for Runge-Kutta methodsRunge-Kutta-Sarafyan methods
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General theory of functional-differential equations (34K05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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Uses Software
Cites Work
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- Continuous approximate solution of ordinary differential equations and their systems
- Stepsize control for delay differential equations using a pair of formulae
- Families of continuous approximate processes for the solution of ordinary differential equations
- Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations
- Characterization of jump discontinuities for state dependent delay differential equations
- High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
- Interpolation for Runge–Kutta Methods
- Comparison of the RK4M4, RK4LIN and RK4M1 methods for systems with time-delays
- Control of Interpolatory Error in Retarded Differential Equations
- Algorithm 497: Automatic Integration of Functional Differential Equations [D2]
- Automatic Integration of Functional Differential Equations: An Approach
- Runge-Kutta triples
