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The Runge-Kutta method with Arcs of equal length and its applications

✍ Scribed by Kaoru Fukuda; Hideyo Nagashima


Book ID
112074625
Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
349 KB
Volume
66
Category
Article
ISSN
8756-6621

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This paper deals with the numerical properties of Runge-Kutta methods for the solution of u (t) = au(t) + a 0 u([t + 1 2 ]). It is shown that the Runge-Kutta method can preserve the convergence order. The necessary and sufficient conditions under which the analytical stability region is contained in