The numerical solution of ordinary differential and differential-algebraic equations

The book is devoted to the numerical solution of problems with the initial conditions for ordinary differential and differential-algebraic equations. Explicit and implicit, single -step and multi -step methods are considered, including new original methods. Particular attention is paid to solving tough problems (including using special obvious methods), as well as solving the differential algebraic problems of higher indices. Along with theoretical results, the results of the solution of test problems are given and the issues of programmatic implementation of numerical methods are considered.
For everyone who is interested in numerical methods for solving differential and differential-algebraic equations.
2nd edition, corrected and supplemented