01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords:
tchebyshev systems; approximation theory; numerical analysis; extremal problem theory; optimization for problems of economics, mathematical finance and insurance.
Subject:
In series of my papers about discrete difference equations was detailed the theory of asymptotic behavior, based on Liapunov"s characteristics exponents. In two my books were explained the construction principles for numerical schemes, based on general polynomials from Tchebyshev spaces. In last my researches, developed jointly with V. Tikhomirov and G. Magaril–Il"yaev, we stady the extremal properties of general Tchebyshev and general Zolotariov polynomials.
Biography
In 1965 I graduated from Faculty of Mathematics and Mechanics of (Lomonosov) Moscow State University (chair of Numerical analysis). In 1968 I post graduated from Faculty of Mathematics and Mechanics of (Lomonosov) Moscow State University (department of Mathematics). Ph. D. thesis was defended in 1973. A list of my works contains more than 50 titles.
Main publications:
Demidovich V. B. Ob asimptoticheskom povedenii reshenii konechno-raznostnykh uravnenii: obschie polozheniya // Differentsialnye uravneniya, 1974, 10 (12), 2267–2278.
Demidovich V. B. Ob asimptoticheskom povedenii reshenii konechno-raznostnykh uravnenii: pravilnye uravneniya // Differentsialnye uravneniya, 1975, 11 (6), 1091–1107.
Demidovich V. B. Priblizhennye vychisleniya s pomoschyu obobschennykh polinomov iz chebyshevskikh prostranstv: chebyshevskie obobschennye polinomy. M., "Izd -vo Moskov. un -ta", 1990.
Demidovich V. B. Ppiblizhennye vychisleniya s pomoschyu obobschennykh polinomov iz chebyshevskikh ppostpanstv: ppostoe inteppolipovanie, kpatnoe inteppolipovanie, fopmuly teilopovskogo tipa. M., "Izd -vo Moskovsk. un -ta", 1994.
Demidovich V. B., Magaril-Ilyaev G. G., Tikhomirov V. M. Ob ekstremumakh lineinykh funktsionalov na konechnomernykh prostranstvakh // Uspekhi matematicheskikh nauk, 2000, 55 (6), 133–134.
V. M. Buchstaber, S. S. Demidov, V. B. Demidovich, D. V. Millionshchikov, S. P. Novikov, V. A. Skvortsov, V. M. Tikhomirov, V. N. Chubarikov, K. E. Yakimova, “To memory of Elena Aleksandrovna Morozova”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 63–70
2005
2.
V. B. Demidovich, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Extremal problems for linear functionals on the Tchebycheff spaces”, Fundam. Prikl. Mat., 11:2 (2005), 87–100; J. Math. Sci., 142:2 (2007), 1923–1932
A. V. Arutyunov, A. P. Buslaev, E. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. M. Tikhomirov, “GeorgiĭGeorgievich Magaril-Il'yaev (on the occasion of his sixtieth birthday)”, Vladikavkaz. Mat. Zh., 6:2 (2004), 61–63
V. B. Demidovich, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Extrema of linear functionals on finite-dimensional spaces”, Uspekhi Mat. Nauk, 55:6(336) (2000), 133–134; Russian Math. Surveys, 55:6 (2000), 1143–1145
V. B. Demidovich, “The asymptotic behavior of the solutions of finite difference equations. II. Regular equations”, Differ. Uravn., 11:6 (1975), 1091–1107
V. B. Demidovich, “The asymptotic behavior of the solutions of finite difference equations. I. General statements”, Differ. Uravn., 10:12 (1974), 2267–2278
E. R. Avakov, V. I. Burenkov, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. V. Dmitruk, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. D. Stepanov, V. M. Tikhomirov, “Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 26:2 (2024), 133–136
2019
10.
V. B. Demidovich, V. M. Tikhomirov, V. N. Chubarikov, “To the memory of Nikolay Mikhaylovich Korobov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1, 69–71
2014
11.
V. B. Demidovich, V. P. Dymnikov, G. M. Kobel'kov, V. V. Kozlov, A. G. Kulikovskii, V. A. Sadovnichii, V. M. Tikhomirov, E. E. Tyrtyshnikov, V. N. Chubarikov, M. È. Èglit, “Nikolai Sergeevich Bakhvalov (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 183–185; Russian Math. Surveys, 69:3 (2014), 579–582
2010
12.
E. R. Avakov, A. V. Arutyunov, L. A. Beklaryan, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Osipenko Konstantin Yur'evich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 12:1 (2010), 68–70
2004
13.
A. V. Arutyunov, A. P. Buslaev, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. S. Polovinkin, “Vladimir Mikhaĭlovich Tikhomirov (on the occasion of his seventieth birthday)”, Vladikavkaz. Mat. Zh., 6:4 (2004), 3–6
K. I. Babenko, N. S. Bakhvalov, V. M. Tikhomirov, V. B. Demidovich, “School-Seminar “Approximation Theory and Problems of Calculus Mathematics””, Uspekhi Mat. Nauk, 42:4(256) (1987), 221–222
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