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04401 Summary – Algorithms and Complexity for Continuous Problems Müller-Gronbach, Thomas Novak, Erich Petras, Knut Traub, Joseph F. Complexity and Regularization of Ill-Posed Problems Non-Linear Approximation Tractability of High-Dimensional Numerical Problems Quasi-Monte Carlo Methods Quantum Computing Stochastic Computation and Quantization Global Optimization Differential and Integral Equation 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. For more details, see the pdf-file with the same title. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Thomas Müller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub 2005 Is Part Of Dagstuhl Seminar Proceedings, Volume 4401, Algorithms and Complexity for Continuous Problems (2005) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.04401.2 urn:nbn:de:0030-drops-1530 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.2 eng https://creativecommons.org/licenses/by/4.0/legalcode