Speciality:
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.
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.
