Speed of convergence of Chernoff approximations to solutions of evolution equations

TL;DR

This paper investigates how quickly Chernoff-based approximations converge to solutions of evolution equations, focusing on the rate at which approximation errors decrease.

Contribution

It introduces the initial analysis of convergence speed for Chernoff approximations to evolution equations, a previously unexplored aspect.

Findings

First steps in quantifying convergence speed

Error decrease rate characterized for Chernoff approximations

Foundation for future quantitative analysis of approximation methods

Abstract

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 approximations to one-parameter semigroups that provide solutions to evolution equations.