A collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. This welcome reference for many new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.

Synopsis:

Differential equations - partial as well as ordinary - are one of the main tools for the modeling of real world application problems. In order to appropriately treat such systems, the optimizing of discretized models plays a key role. The intention of this book is to combine approaches from both disciplines, numerical mathematics and optimization, to cope with this practically highly important problem class. It collects papers presented at the workshop "Fast solution of discretized optimization problems", which was intended to foster the development of efficient numerical solution methods for large-scale optimization problems resulting from differential equations from various applications. It will be most helpful for mathematical and engineering scientists working in an applied environment.

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