Geodesic
One-step methods for ordinary differential equations with parameters
Applications of Mathematics, Tome 35 (1990) no. 1, pp. 67-83.

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In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
DOI : 10.21136/AM.1990.104388
Classification : 34B15, 65L06, 65L10, 65L15, 65L70
Mots-clés : ordinary differential equations with parameters; numerical solution; one-step method; parameter estimation; iterative methods; convergence; error estimates; numerical examples 
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     author = {Jankowski, Tadeusz},
     title = {One-step methods for ordinary differential equations with parameters},
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     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/}
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Jankowski, Tadeusz. One-step methods for ordinary differential equations with parameters. Applications of Mathematics, Tome 35 (1990) no. 1, pp. 67-83. doi : 10.21136/AM.1990.104388. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/

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