The monograph sets out in detail the most important computational methods for solving partial differential equations used when working on modern computers. It contains a lot of new interesting and important material. relating to equations of various types. The book will provide significant assistance to employees of computer centers, students and graduate students of universities and technical universities specializing in the field of computational mathematics; it will also be useful to engineers of various specialties, physicists and meteorologists, and in general to all persons using approximate methods for solving differential equations.