Geodesic
Some remarks on numerical solution of initial problems for systems of differential equations
Applications of Mathematics, Tome 24 (1979) no. 6, pp. 421-426.

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This paper presents a class of numerical methods for approximate solution of systems of ordinary differential equations. It is shown that under certain general conditions these methods are convergent for sufficiently small step size. We give estimations of errors which are better than the known ones.
DOI : 10.21136/AM.1979.103825
Classification : 65L05
Keywords: systems; sufficient conditions for convergence; Gronwall inequality; error bound 
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Jankowski, Tadeusz. Some remarks on numerical solution of initial problems for systems of differential equations. Applications of Mathematics, Tome 24 (1979) no. 6, pp. 421-426. doi : 10.21136/AM.1979.103825. http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103825/

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