http://www.dagstuhl.de/04401

September 26 – October 1 , 2004, Dagstuhl Seminar 04401

Algorithms and Complexity for Continuous Problems

Organizers

Thomas Müller-Gronbach (Universität Magdeburg, DE)
Erich Novak (Universität Jena, DE)
Knut Petras (Bergische Universität Wuppertal, DE)
Joseph F. Traub (Columbia University – New York, US)

For support, please contact

Dagstuhl Service Team

Documents

Dagstuhl Seminar Proceedings DROPS
List of Participants
Dagstuhl's Impact: Documents available

Summary

The goal of this workshop was to bring together researchers from different communities working on computational aspects of continuous problems.

Continuous computational problems arise in many areas of science and engineering. Examples include path and multivariate integration, function approximation, optimization, as well as differential, integral, and operator equations.

Understanding the complexity of such problems and constructing efficient algorithms is both important and challenging.

The workshop was of a very interdisciplinary nature with invitees from, e.g., computer science, numerical analysis, discrete, applied, and pure mathematics, physics, statistics, and scientific computation. Many of the lectures were presented by Ph.D. students.

Compared to earlier meetings, several very active research areas received more emphasis. These include quantum computing, complexity and tractability of high-dimensional problems, stochastic computation, and quantization, which was an entirely new field for this workshop.

Due to strong connections between the topics treated at this workshop many of the participants initiated new cooperations and research projects. The meeting was the eighth in a series of Dagstuhl-seminars on "Algorithms and Complexity for Continuous Problems". This topic belongs to the focus group research areas of the Working Group 1.1 of the International Federation for Information Processing. The work of the attendants was supported by a variety of funding agencies including the Deutsche Forschungsgemienschaft, the National Science Foundation and the Defense Advanced Research Projects Agency (USA), the Australian Research Council, and the State Committee for Research (Poland).

Selected papers from the workshop will be published in a special issue of the Journal of Complexity.

The following topics were discussed:

  1. Complexity and Regularization of Ill-Posed Problems
  2. Non-Linear Approximation
  3. Tractability of High-Dimensional Numerical Problems
  4. Quasi-Monte Carlo Methods
  5. Quantum Computing
  6. Stochastic: Computation and Quantization
  7. Global Optimization
  8. Differential and Integral Equation

Dagstuhl Seminar Series

Book exhibition

Books from the participants of the current Seminar 

Book exhibition in the library, ground floor, during the seminar week.

Documentation

In the series Dagstuhl Reports each Dagstuhl Seminar and Dagstuhl Perspectives Workshop is documented. The seminar organizers, in cooperation with the collector, prepare a report that includes contributions from the participants' talks together with a summary of the seminar.

 

Download overview leaflet (PDF).

Publications

Furthermore, a comprehensive peer-reviewed collection of research papers can be published in the series Dagstuhl Follow-Ups.

Dagstuhl's Impact

Please inform us when a publication was published as a result from your seminar. These publications are listed in the category Dagstuhl's Impact and are presented on a special shelf on the ground floor of the library.

NSF young researcher support