Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods

We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to the numerical solution of initial value problems of ODEs of arbitrary order. For the construction of these interpolants one uses, along with the numerical data of the discrete solution...

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Vydané v:	SIAM journal on numerical analysis Ročník 34; číslo 1; s. 22 - 47
Hlavní autori:	Papakostas, S. N., Ch. Tsitouras
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.02.1997
Predmet:	Algebra Approximation Construction Contour lines Cost functions Differential equations Exact sciences and technology Higher order derivatives Interpolation Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Odes Ordinary differential equations Runge Kutta method Sciences and techniques of general use Interpolation formula Differential equation Numerical solution Initial value problem One step method Numerical method Runge Kutta method High order derivative Numerical stability Equation system
ISSN:	0036-1429, 1095-7170
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