The first two volumes of this edition have now become a standard work in German-speaking countries. They deal with the numerics of linear and nonlinear equations, interpolation and approximation, integration and eigenvalue problems, as well as initial and boundary value problems of ordinary differen[...]

This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. The book strictly presents numerical analysis as part of the more general field of scientific computing. Important algorithmic concepts [...]