Error estimation and step size control for delay differential equation solvers based on continuously embedded Runge-Kutta-Sarafyan methods
DOI10.1016/0898-1221(96)00001-6zbMath0853.65083OpenAlexW2156711450WikidataQ115362884 ScholiaQ115362884MaRDI QIDQ1913450
Publication date: 8 December 1996
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(96)00001-6
numerical resultserror estimationdelay differential equationsstep-size selectionembedded Runge-Kutta-Sarafyan methodsSarafyan 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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items
Uses Software
Cites Work
- Stability of some continuously imbedded Runge-Kutta methods of Sarafyan
- Software for the numerical solution of systems of functional differential equations with state-dependent delays
- Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order
- Issues in the numerical solution of evolutionary delay differential equations
- Multistep methods for the numerical solution of ordinary differential equations made self-starting
- Global Error Estimates for Ordinary Differential Equations
- Two FORTRAN packages for assessing initial value methods
- Spline Approximations for Neutral Functional Differential Equations
- A New Recurrence for Computing Runge–Kutta Truncation Error Coefficients
- Asymptotic behavior of solutions of differential-difference equations.
- Unnamed Item
- Unnamed Item
