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Yu. V. Rakitskii, S. M. Ustinov, and I. G. Chernorutskii, Numerical Methods of Solution of Stiff Systems [in Russian], Nauka, Moscow (1979).
A. B. Vasil'eva and V. F. Butuzov, Asymptotic Expansions of Soutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).
Yu. P. Boglaev, "Iteration method of approximate solution of singularly perturbed problems," Dokl. Akad. Nauk SSSR,227, No. 5, 1033–1036 (1976).
S. A. Lomov, An Introduction to the General Theory of Singular Perturbations [in Russian], Nauka, Moscow (1981).
M. M. Khapaev, "An algorithm for integration of singularly perturbed systems," Dokl. Akad. Nauk SSSR,278, No. 6, 1313–1315 (1984).
Translated from Vychislitel'nye Kompleksy i Modelirovanie Slozhnykh Sistem, pp. 194–198, Moscow State University, 1989.
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Shagirova, M.E. An algorithm for analytical integration of singularly perturbed systems of ordinary differential equations. Comput Math Model 3, 111–114 (1992). https://doi.org/10.1007/BF01127803
- Differential Equation
- Mathematical Modeling
- Ordinary Differential Equation
- Computational Mathematic
- Industrial Mathematic