The book is the second part of a manual intended for students of higher technical educational institutions, physical and mechanical-mathematical faculties of universities. It can serve as a reference for all persons who have to deal with scientific and technical calculations. The book contains an exposition of methods for solving ordinary differential equations, partial differential equations and integral equations. The most commonly used methods for accelerating the convergence of series and sequences are also given. In addition, a summary of some questions of the general theory of computational methods based on functional analysis is given.