Average Case Analysis Of Numerical Problems

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Average Case Analysis Of Numerical Problems

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Author : Klaus Ritter
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-26

Average Case Analysis Of Numerical Problems written by Klaus Ritter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-26 with Mathematics categories.

The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.

Essays On The Complexity Of Continuous Problems

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Author : Erich Novak
language : en
Publisher: European Mathematical Society
Release Date : 2009

Essays On The Complexity Of Continuous Problems written by Erich Novak and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computational complexity categories.

This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.

Geometry Analysis And Mechanics

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Author : John Michael Rassias
language : en
Publisher: World Scientific
Release Date : 1995-01-10

Geometry Analysis And Mechanics written by John Michael Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-10 with Mathematics categories.

This review volume consists of articles by outstanding scientists who explore Archimedes' influence on the development of mathematics, particularly on Geometry, Analysis and Mechanics.

Encyclopaedia Of Mathematics

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Hp Finite Element Methods For Singular Perturbations

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Author : Jens M. Melenk
language : en
Publisher: Springer
Release Date : 2004-10-19

Hp Finite Element Methods For Singular Perturbations written by Jens M. Melenk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

Measures With Symmetry Properties

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Author : Werner Schindler
language : en
Publisher: Springer
Release Date : 2003-01-01

Measures With Symmetry Properties written by Werner Schindler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.

Symmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.

Stability Estimates For Hybrid Coupled Domain Decomposition Methods

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Author : Olaf Steinbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-03-10

Stability Estimates For Hybrid Coupled Domain Decomposition Methods written by Olaf Steinbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-10 with Computers categories.

Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.

Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral

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Author : Hervé M. Pajot
language : en
Publisher: Springer
Release Date : 2002-01-01

Analytic Capacity Rectifiability Menger Curvature And Cauchy Integral written by Hervé M. Pajot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlevé problem.

Yetter Drinfel D Hopf Algebras Over Groups Of Prime Order

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Author : Yorck Sommerhäuser
language : en
Publisher: Springer
Release Date : 2004-10-19

Yetter Drinfel D Hopf Algebras Over Groups Of Prime Order written by Yorck Sommerhäuser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.

Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

Statistical Learning Theory And Stochastic Optimization

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Author : Olivier Catoni
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Statistical Learning Theory And Stochastic Optimization written by Olivier Catoni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.