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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2005 Volume 45, Number 2, Pages 267–271 (Mi zvmmf704)

This article is cited in 1 paper

Estimates of local and global errors of the implicit Störmer method for systems of equations

N. D. Zolotarëva

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: Errors of the Störmer method of an arbitrary order for systems of equations are estimated. Both the method error and the roundoff errors are taken into account. The global error is estimated using the ellipsoid method, which does not result in the wrapping effect.

Key words: Cauchy problem for second-order ordinary differential equations, numerical Störmer method, error estimate.

UDC: 519.622.2

Received: 29.09.2003


 English version:
Computational Mathematics and Mathematical Physics, 2005, 45:2, 256–260

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