@article{IVM_2002_4_a5,
author = {R. G. Mukharlyamov},
title = {On a~numerical solution of equations of extremals for a~variational problem with constraints},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {36--44},
year = {2002},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2002_4_a5/}
}
R. G. Mukharlyamov. On a numerical solution of equations of extremals for a variational problem with constraints. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2002), pp. 36-44. http://geodesic.mathdoc.fr/item/IVM_2002_4_a5/
[1] Bliss G. A., Lektsii po variatsionnomu ischisleniyu, In. lit., M., 1950, 347 pp.
[2] Ascher U. M., Hongsheng Chin, Petzold L. R., Reich S., “Stabilization of constrained mechanical systems with DAEs and invariant manifolds”, J. Mech. of Structures and Machines, 23 (1995), 135–158 | DOI | MR
[3] Rentrop P., Strehmel K., Weiner R., “Ein Überblick über Einschrittverfaren zur numerischen Integration in der technischen Simulation”, GAMM-Mitteilungen, 19:1 (1996), 9–43 | MR | Zbl
[4] Mukharlyamov R. G., “O postroenii mnozhestva sistem differentsialnykh uravnenii ustoichivogo dvizheniya po integralnomu mnogoobraziyu”, Differents. uravneniya, 5:4 (1969), 688–699 | Zbl
[5] Bukhgolts N. N., Osnovnoi kurs teoreticheskoi mekhaniki, Ch. 2, Nauka, M., 1966, 332 pp.
[6] Mukharlyamov R. G., “O postroenii differentsialnykh uravnenii optimalnogo dvizheniya po zadannomu mnogoobraziyu”, Differents. uravneniya, 7:10 (1971), 1825–1834 | Zbl
[7] Baumgarte J., “Stabilization of constraints and integrals of motion in dynamical systems”, Comp. Math. Appl. Mech. Eng., 1 (1972), 1–16 | DOI | MR | Zbl
[8] Mukharlyamov R. G., “Chislennoe modelirovanie v zadachakh mekhaniki”, Vestnik RUDN. Ser. prikl. matem. i mekhan., 1995, no. 1, 13–28 | Zbl