3 papers
math.NA2026
Quasi-Feynman formulas that provide fast converging Chernoff approximations to solution of parabolic differential equation on the real line
Ivan D. Remizov, Alexandr V. Vedenin
We construct explicit approximations to the solution of a second-order parabolic partial differential equation on the real line with variable coefficients. The method is based on C…
math.NA2025
Concrete examples of the rate of convergence of Chernoff approximations: numerical results for the heat semigroup and open questions on them (with appendix: full list of pictures and Python code)
K. A. Katalova, N. Nikbakht, I. D. Remizov
The article is devoted to the construction of examples that illustrate (using computer calculations) the rate of convergence of Chernoff approximations to the solution of the Cauch…
math.FA2025
Chernoff approximations as a method for finding the resolvent of a linear operator and solving a linear ODE with variable coefficients
Ivan D. Remizov
The Chernoff approximation method is a powerful and flexible tool of functional analysis, which allows in many cases to express exp(tL) in terms of variable coefficients of a linea…