Solution of the Cauchy Problem for Ordinary Differential Equations Using the Collocation and Least Squares Method with the Pade Approximation

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FSAEIHE South Ural State University (National Research University)

Reference18 articles.

1. 1. Baker G.A.Jr. Essentials of Pade Approximants. New York, Academic Press, 1975.

2. 2. Gonchar A.A., Rakhmanov E.A. On the Convergence of Joint Pade Approximations for Systems of Markov Type Functions. Proceedings of the Steklov Institute of Mathematics, 1981, vol. 157, pp. 31-50.

3. 3. Gonchar A.A., Rakhmanov E.A. Equilibrium Distributions and the Rate of Rational Approximation of an Analytical Function. Mathematics of the USSR-Sbornik, 1989, vol. 62, no. 2, pp. 305-348. DOI: 10.1070/SM1989v062n02ABEH003242

4. 4. Gonchar A.A., Novikova N.N., Khenkin G.M. Multipoint of Pade Approximants. Matematichesky Sbornik [Mathematical Collection], 1996, vol. 187, no. 12, pp. 57-86. (in Russian)

5. 5. Suetin S.P. Pade Approximations and Effective Analytical Continuation of a Power Series. Russian Mathematical Surveys, 2002, vol. 57, no. 1, pp. 43-141. DOI: 10.1070/RM2002v057n01ABEH000475

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