The book "Difference Schemes with Operator Factors" offers a comprehensive analysis of two- and three-level difference schemes for temporal discretization, which are used in conjunction with finite difference or finite element approximations for spatial variables. These methods are particularly useful for the numerical solution of non-stationary problems in mathematical physics. The focus of the theoretical analysis is on the stability of the difference solutions, especially concerning small perturbations of the initial conditions and the right-hand side. The stability theory is developed in various directions and forms the basis for analyzing the convergence of approximate solutions to the exact solutions. The book draws on significant results and previous work in this field to explain the concepts of consistency, stability, and convergence.