National Academy of Sciences of Belarus

YANOVICH Leonid Aleksandrovich

Leonid Aleksandrovich Yanovich (b. 04.03.1934, v. Kozhushki, Slutsk district, Minsk region), mathematician. Corresponding Member of the National Academy of Sciences of Belarus (1989), Doctor of Physico-Mathematical Sciences (1987), Professor (1992).

Scientific research in the field of approximate methods of analysis and computational mathematics. He performed a number of fundamental works on the theory of quadrature and cubature formulas, the theory of approximation of functions and operators, developed methods for calculating continual integrals, numerical methods for solving integral and integro-differential equations, and proposed methods for numerical solution of certain classes of physical and technical problems. Received criteria for convergence and error estimates for quadrature, cubature, interpolation processes and other approximate methods. Solved the problem of constructing Chebyshev formulas with real nodes for certain types of integrals, a series of extremal problems in quadrature theory and interpolation of analytic functions. He built and investigated numerical methods for solving aeroelasticity equations with deterministic and randomly perturbed nuclei and the right-hand side, operator interpolation formulas in functional and general linear spaces.

Author of more than 200 scientific papers, incl. 7 monographs.

Prize of the National Academy of Sciences of Belarus in 1993 for the series of works "Approximate methods of continual integration". State Prize of Ukraine in the field of science and technology in 2012 for the series of scientific works "Discrete and functional methods of approximation theory and their application".

Awarded with the Order of the Badge of Honor (1976), medals.

Major papers:

  1. Приближенное вычисление континуальных интегралов по гауссовым мерам. Мн., 1976.
  2. Обобщенный винеровский интеграл и некоторые его приближения. Мн., 1989 (совм. с И.М. Ковальчиком).
  3. Functional Integrals: Approximate Evaluation and Applications. Dardrecht-Boston-London, 1993 (with A.D. Egorov, P.I. Sobolevsky).
  4. Интерполирование операторов. Киев, 2000 (совм. с В.Л. Макаровым, В.В. Хлобыстовым).