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Izv. IMI UdGU, 2006, Issue 2(36), Pages 167–172 (Mi iimi140)  

MATHEMATICAL MODELING AND COMPUTATIONS

On one generalization of Runge–Kutta method

G. G. Islamov, Y. V. Kogan

Udmurt State University, Izhevsk

Abstract: There are offered to select the coefficients of one Runge–Kutta method generalization with regard to the value of relative error for linearized system of ordinary differential equations. Unlike the known versions of Runge–Kutta methods it is lead to Pade approximation not in zero, but in point nearest the spectrum of multiplied to mesh width the Jacobi matrix in the current mesh point.

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Document Type: Article
UDC: 519.62

Citation: G. G. Islamov, Y. V. Kogan, “On one generalization of Runge–Kutta method”, Izv. IMI UdGU, 2006, no. 2(36), 167–172

Citation in format AMSBIB
\Bibitem{IslKog06}
\by G.~G.~Islamov, Y.~V.~Kogan
\paper On one generalization of Runge--Kutta method
\jour Izv. IMI UdGU
\yr 2006
\issue 2(36)
\pages 167--172
\mathnet{http://mi.mathnet.ru/iimi140}


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  • Известия Института математики и информатики Удмуртского государственного университета
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