3 papers
math.FA2021
Upper and lower estimates for rate of convergence in the Chernoff product formula for semigroups of operators
Oleg E. Galkin, Ivan D. Remizov
Chernoff approximations to strongly continuous one-parameter semigroups give solutions to a wide class of differential equations. This paper studies the rate of convergence of the…
math.FA2019
Speed of convergence of Chernoff approximations to solutions of evolution equations
A. V. Vedenin, V. S. Voevodkin, V. D. Galkin +2
This communication is devoted to establishing the very first steps in study of the speed at which the error decreases while dealing with the based on the Chernoff theorem approxima…
math-ph2016
Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example)
Ivan D. Remizov
We present a general method of solving the Cauchy problem for a linear parabolic partial differential equation of evolution type with variable coefficients and demonstrate it on th…