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@article{MM_2009_21_12_a3, author = {S. D. Krasnikov and E. B. Kuznetsov}, title = {Numerical continuation of solution in bifurcation points of mathematical models}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {47--58}, publisher = {mathdoc}, volume = {21}, number = {12}, year = {2009}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2009_21_12_a3/} }
TY - JOUR AU - S. D. Krasnikov AU - E. B. Kuznetsov TI - Numerical continuation of solution in bifurcation points of mathematical models JO - Matematičeskoe modelirovanie PY - 2009 SP - 47 EP - 58 VL - 21 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2009_21_12_a3/ LA - ru ID - MM_2009_21_12_a3 ER -
S. D. Krasnikov; E. B. Kuznetsov. Numerical continuation of solution in bifurcation points of mathematical models. Matematičeskoe modelirovanie, Tome 21 (2009) no. 12, pp. 47-58. http://geodesic.mathdoc.fr/item/MM_2009_21_12_a3/
[1] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, T. 1, Izd-vo “Lan”, SPb., 1997
[2] Shalashilin V. I., Kuznetsov E. B., Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, Kluwer Academic Publishers, Dordrecht–Boston–London, 2003, 236 pp. | MR | MR | Zbl
[3] Keller H. B., Lectures on numerical methods in bifurcation problems, Springer, Berlin, 1987 | MR
[4] Allgower E. L., Georg K., Numerical Continuation Methods: An Introduction, Series in Computational Mathematics, 13, Springer Verlag, Berlin–Heidelberg–New York, 1990 | MR | Zbl
[5] Vainberg M. M., Trenogin V. A., Teoriya vetvleniya reshenii nelineinykh uravnenii, Nauka, M., 1969 | MR | Zbl
[6] Kuznetsov E. B., “Nailuchshaya parametrizatsiya pri postroenii krivoi iteratsionnym metodom”, Dokl. RAN, 396:6 (2004), 746–748 | MR | Zbl
[7] Krasnikov S. D., Kuznetsov E. B., “Parametrizatsiya chislennogo resheniya kraevykh zadach dlya nelineinykh differentsialnykh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 45:12 (2005), 2148–2158 | MR | Zbl
[8] Ginzburg V. L., Landau L. D., “K teorii sverkhprovodimosti”, Zh. eksperim. i teor. fiz., 20:12 (1950), 1064–1082
[9] Dyshko A. L., Zharkov G. F., Konyukhova N. B., Kurochkin S. V., “Analitiko-chislennye issledovaniya nelineinoi kraevoi zadachi sverkhprovodyaschei plastiny v magnitnom pole”, Zhurn. vychisl. matem. i matem. fiz., 45:9 (2005), 1651–1676 | MR | Zbl
[10] Lahaye M. E., “Une methode de resolution d'une categorie d'equations transcendentes”, Compt. Rendus hebdomataires des seances de L'Academie des sciences, 198:21 (1934), 1840–1842 | Zbl
[11] Roberts S. M., Shipman J. S., Two – point boundary value problems: shooting methods, Elsevier, New York, 1972 | MR | Zbl