@InProceedings{mullergronbach_et_al:DagSemProc.04401.1,
author = {M\"{u}ller-Gronbach, Thomas and Novak, Erich and Petras, Knut and Traub, Joseph F.},
title = {{04401 Abstracts Collection – Algorithms and Complexity for Continuous}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--21},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.1},
URN = {urn:nbn:de:0030-drops-1545},
doi = {10.4230/DagSemProc.04401.1},
annote = {Keywords: Complexity and regularization of ill-posed problems , nonlinear approximation , tractability of high-dimensional numerical problems quantum computing , stochastic computation and quantization , global optimization , differential and integral equations}
}
@InProceedings{mullergronbach_et_al:DagSemProc.04401.2,
author = {M\"{u}ller-Gronbach, Thomas and Novak, Erich and Petras, Knut and Traub, Joseph F.},
title = {{04401 Summary – Algorithms and Complexity for Continuous Problems}},
booktitle = {Algorithms and Complexity for Continuous Problems},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.2},
URN = {urn:nbn:de:0030-drops-1530},
doi = {10.4230/DagSemProc.04401.2},
annote = {Keywords: 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}
}
@InProceedings{nuyens_et_al:DagSemProc.04401.3,
author = {Nuyens, Dirk and Cools, Ronald},
title = {{Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II)}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--26},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.3},
URN = {urn:nbn:de:0030-drops-1486},
doi = {10.4230/DagSemProc.04401.3},
annote = {Keywords: numerical integration , cubature/quadrature , rank-1 lattice , component-by-component construction , fast algorithm}
}
@InProceedings{luschgy_et_al:DagSemProc.04401.4,
author = {Luschgy, Harald and Pag\`{e}s, Gilles},
title = {{Functional Quantization and Entropy for Stochastic Processes}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--15},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.4},
URN = {urn:nbn:de:0030-drops-1446},
doi = {10.4230/DagSemProc.04401.4},
annote = {Keywords: Functional quantization , entropy , product quantizers}
}
@InProceedings{plaskota:DagSemProc.04401.5,
author = {Plaskota, Leszek},
title = {{Information-Based Nonlinear Approximation: An Average Case Setting}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--1},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.5},
URN = {urn:nbn:de:0030-drops-1504},
doi = {10.4230/DagSemProc.04401.5},
annote = {Keywords: average case setting , nonlinear approximation , information-based comlexity}
}
@InProceedings{ritter_et_al:DagSemProc.04401.6,
author = {Ritter, Klaus and M\"{u}ller-Gronbach, Thomas},
title = {{Lower Bounds and Non-Uniform Time Discretization for Approximation of Stochastic Heat Equations}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--37},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.6},
URN = {urn:nbn:de:0030-drops-1518},
doi = {10.4230/DagSemProc.04401.6},
annote = {Keywords: Stochastic heat equation , Non-uniform time discretization , minimal errors , upper and lower bounds}
}
@InProceedings{golyandina:DagSemProc.04401.7,
author = {Golyandina, Nina},
title = {{Monte Carlo solution for the Poisson equation on the base of spherical processes with shifted centres}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--8},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.7},
URN = {urn:nbn:de:0030-drops-1393},
doi = {10.4230/DagSemProc.04401.7},
annote = {Keywords: Poisson equation , Laplace operator , Monte Carlo solution , spherical process , random walk on spheres , rate of convergence}
}
@InProceedings{hausenblas:DagSemProc.04401.8,
author = {Hausenblas, Erika},
title = {{Numerical Approximation of Parabolic Stochastic Partial Differential Equations}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--2},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.8},
URN = {urn:nbn:de:0030-drops-1417},
doi = {10.4230/DagSemProc.04401.8},
annote = {Keywords: Stochastic Partial Differential Equations , Stochastic evolution Equations , Numerical Approximation , implicit Euler scheme}
}
@InProceedings{meer_et_al:DagSemProc.04401.9,
author = {Meer, Klaus and Malajovich, Gregorio},
title = {{On the Complexity of Computing Multi-Homogeneous B\~{A}ƒ\^{A}©zout Numbers}},
booktitle = {Algorithms and Complexity for Continuous Problems},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.9},
URN = {urn:nbn:de:0030-drops-1460},
doi = {10.4230/DagSemProc.04401.9},
annote = {Keywords: multi-homogeneous B\~{A}ƒ\^{A}©zout numbers , number of roots of polynomials , approximation algorithms}
}
@InProceedings{petras_et_al:DagSemProc.04401.10,
author = {Petras, Knut and Ritter, Klaus},
title = {{On the Complexity of Parabolic Initial Value Problems with Variable Drift}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--24},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.10},
URN = {urn:nbn:de:0030-drops-1495},
doi = {10.4230/DagSemProc.04401.10},
annote = {Keywords: Partial differential equations , parabolic problems , Smolyak method , optimal methods}
}
@InProceedings{horn:DagSemProc.04401.11,
author = {Horn, Matthias U.},
title = {{Optimal algorithms for global optimization in case of unknown Lipschitz constant}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--22},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.11},
URN = {urn:nbn:de:0030-drops-1430},
doi = {10.4230/DagSemProc.04401.11},
annote = {Keywords: Global optimization , Lipschitz functions , optimal rate of convergence , complexity}
}
@InProceedings{novak_et_al:DagSemProc.04401.12,
author = {Novak, Erich and Dahlke, Stephan and Sickel, Winfried},
title = {{Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings}},
booktitle = {Algorithms and Complexity for Continuous Problems},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.12},
URN = {urn:nbn:de:0030-drops-1471},
doi = {10.4230/DagSemProc.04401.12},
annote = {Keywords: elliptic operator equation , worst case error , linear approximation method , nonlinear approximation method , best n-term approximation Bernstein widths , manifold widths}
}
@InProceedings{dahlke_et_al:DagSemProc.04401.13,
author = {Dahlke, Stephan and Novak, Erich and Sickel, Winfried},
title = {{Optimal Approximation of Elliptic Problems II: Wavelet Methods}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--4},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.13},
URN = {urn:nbn:de:0030-drops-1381},
doi = {10.4230/DagSemProc.04401.13},
annote = {Keywords: Elliptic operator equations , worst case error , best n-term approximation , wavelets , Besov regularity}
}
@InProceedings{wasilkowski_et_al:DagSemProc.04401.14,
author = {Wasilkowski, Gregorz W. and Wozniakowski, Henryk},
title = {{Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights; Worst Case Setting}},
booktitle = {Algorithms and Complexity for Continuous Problems},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.14},
URN = {urn:nbn:de:0030-drops-1526},
doi = {10.4230/DagSemProc.04401.14},
annote = {Keywords: Multivariate integration , multivariate approximation , complexity , polynomial-time algorithms , finite-order weights}
}
@InProceedings{graf_et_al:DagSemProc.04401.15,
author = {Graf, Siegfried and Luschgy, Harald},
title = {{Quantization of self-similar Probabilities}},
booktitle = {Algorithms and Complexity for Continuous Problems},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.15},
URN = {urn:nbn:de:0030-drops-1402},
doi = {10.4230/DagSemProc.04401.15},
annote = {Keywords: quantization , self-similar probabilities}
}
@InProceedings{hofmann:DagSemProc.04401.16,
author = {Hofmann, Norbert},
title = {{Upper Error Bounds for Approximations of Stochastic Differential Equations with Markovian Switching}},
booktitle = {Algorithms and Complexity for Continuous Problems},
pages = {1--2},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4401},
editor = {Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.16},
URN = {urn:nbn:de:0030-drops-1422},
doi = {10.4230/DagSemProc.04401.16},
annote = {Keywords: stochastic differential equations with Markovian switching , Markov chains , numerical methods , Euler scheme , Milstein scheme}
}
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