REVIEW of  bachelor's thesis "Investigation of explicit Runge-Kutta methods for Cauchy problem soluiton based on Lagrange - Burmann expansion" by A. V. Ryzhikov  The modification of of Runge-Kutta methods for the numerical solution of differential equations is investigated. Modification of Runge - Kutta method based on  the expansions by degrees of known function is considered. These expansions are based on Lagrange formula. The characteristics of the method are based on the choice of the function. Stability domain of the method for various choice of functions for Lagrange expansions is investigated.  The following remarks can be considered: 1. On page 8 term "amplitude of the oscillations of the numerical method" is not defined. 2. Stability function on page 17 is not correctly formalized. At the same time, this is the main function in the study as it is associated with a series of graphs on page 18.   The general impression of the work is good, list of references is a quite complete. From my point of view, thesis of A. V. Ryzhikov can be evaluated as "good".    Official reviewer,     assistant professor of Faculty of Applied Mathematics and Control Processes, V. A. Shmyrov