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Stepsize control for delay differential equations using continuously imbedded Runge-Kutta methods of Sarafyan. (English) Zbl 0707.65050

Author’s summary: The use of continuously imbedded Runge-Kutta-Sarafyan methods for the solution of ordinary differential equations with either time-dependent or state-dependent delays is discussed. It is shown how to get reliable solutions for such problems in a manner that does not require that the effect of the local approximation error be considered separately from the local integration error. It is also shown how to reliably handle derivative discontinuities that arise in the solution of differential equations with delays.
Reviewer: R.Scherer

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65L50 Mesh generation, refinement, and adaptive methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34K05 General theory of functional-differential equations

Software:

UNCMND; DEPAC; pchip; Slatec
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Full Text: DOI

References:

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