Frank Schilder – författare

This book provides a comprehensive introduction to the mathematical methodology of parameter continuation, the computational analysis of families of solutions to nonlinear mathematical equations. It develops a systematic formalism for constructing abstract representations of continuation problems and for implementing these in an existing computational platform.Recipes for Continuation:Lends equal importance to theoretical rigor, algorithm development, and software engineering. Demonstrates the use of fully developed toolbox templates for single- and multisegment boundary-value problems to the analysis of periodic orbits in smooth and hybrid dynamical systems, quasi-periodic invariant tori, and homoclinic and heteroclinic connecting orbits between equilibria and/or periodic orbits. Shows the use of vectorization for optimal computational efficiency, an object-oriented paradigm for the modular construction of continuation problems, and adaptive discretization algorithms for guaranteed bounds on estimated errors. Contains extensive and fully worked examples that illustrate the application of the MATLAB-based Computational Continuation Core (COCO) to problems from recent research literature that are relevant to dynamical system models from mechanics, electronics, biology, economics, and neuroscience.

The Dagstuhl Seminar 05151 “Annotating, Extracting and Reasoning about Time and Events” took place April 10–15, 2005 at the International Conference and Research Center (IBFI), Schloss Dagstuhl, Germany. During the seminar, 17 leading researchers from 5 di?erent countries presented current research and discussed open problems concerning annotation, temporal reasoning, and event identi?cation. The work presented at this seminar, together with other previous andongoingresearch,centersaroundanemergingde factostandardfortime and event annotation: TimeML. TimeML has recently been adopted as a candidate for an ISO standard, and is currently being reviewed in this capacity. At the seminar, the discussions focussed on the following three Time- related issues: using the TimeML language e?ectively for consistent annotation, determining how useful such annotation is for further processing,and describing modi?cations that should be applied to the standard for applications such as question-answering and information retrieval. Discussions at the Dagstuhl Seminar led to new researchideas, and a variety ofpublicationsandconferenceandworkshoppresentationsresulted.Thiscurrent collection of papers adds to the growing body of work on TimeML. It focusses on important sub-areas within TimeML research such as temporal annotation and temporal reasoning and points to future research directions that are crucial for further progress.