Geodesic
On numerical integration of implicit ordinary differential equations
Applications of Mathematics, Tome 26 (1981) no. 2, pp. 97-110.

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In this paper it is shown how the numerical methods for ordinary differential equations can be adapted to implicit ordinary differential equations. The resulting methods are of the same order as the corresponding methods for ordinary differential equations. The convergence theorem is proved and some numerical examples are given.
DOI : 10.21136/AM.1981.103901
Classification : 65J15, 65L05
Mots-clés : nonstationary quasilinear multistep methods; implicit ordinary differential equations; convergence theorem; numerical examples 
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Jackiewicz, Zdzisław; Kwapisz, Marian. On numerical integration of implicit ordinary differential equations. Applications of Mathematics, Tome 26 (1981) no. 2, pp. 97-110. doi : 10.21136/AM.1981.103901. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103901/

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