This textbook deals with the numerical solution of initial and boundary value problems for ordinary differential equations. It takes the reader directly to the practically proven methods from their theoretical foundation via their analysis to questions of implementation. The textbook contains a wealth of exercises together with numerous application examples. Sections of this third edition have been revised and it has been supplemented with MATLAB codes.

Peter Deuflhard, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany; Folkmar Bornemann, Technische Universität München, Munich, Germany.