Model Reduction and Approximation: Theory and Algorithms, Peter Benner, Albert Cohen, Mario Ohlberger, Karen

Автор: G?rtner, Matousek
Название: Approximation Algorithms and Semidefinite Programming
ISBN: 3642220142 ISBN-13(EAN): 9783642220142
Издательство: Springer
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Цена: 65210.00 T
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Описание: Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material.  There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms. This book follows the “semidefinite side” of these developments, presenting some of the main ideas behind approximation algorithms based on semidefinite programming. It develops the basic theory of semidefinite programming, presents one of the known efficient algorithms in detail, and describes the principles of some others. It also includes applications, focusing on approximation algorithms.

Автор: Emmanuil H Georgoulis; Armin Iske; Jeremy Levesley
Название: Approximation Algorithms for Complex Systems
ISBN: 3642266657 ISBN-13(EAN): 9783642266652
Издательство: Springer
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Цена: 194730.00 T
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Part I INVITED SURVEYS: Emergent Behaviour in Large Electrical Networks by D. P. Almond, C.J. Budd, N.J. McCullen.- Algorithms and Error Bounds for Multivariate Piecewise Constant Approximation by O. Davydov.- Anisotropic Triangulation Methods in Adaptive Image Approximation by L. Demaret, A. Iske.- Form Assessment in Coordinate Metrology by A.B. Forbes and H.D.Minh.- Discontinuous Galerkin Methods for Linear Problems: An Introduction by E. H. Georgoulis.- A Numerical Analyst's View of the Lattice Boltzmann Method by A. G. Gorban, J. Levesley, D. Packwood.- Approximating Probability Measures on Manifolds via Radial Basis Functions by J. Levesley, X. Sun.- Part II CONTRIBUTED RESEARCH PAPERS: Modelling Clinical Decay Data Using Exponential Functions by M.G. Cox.- Towards Calculating the Basin of Attraction of Non-Smooth Dynamical Systems Using Radial Basis Functions by P. Giesl.- Stabilizing Lattice Boltzmann Simulation of Fluid Flow past a Circular Cylinder with Ehrenfests' Limiter by T.S. Khan, J. Levesley.- Fast and Stable Interpolation of Well Data Using the Norm Function by B. Li, J. Levesley.- Algorithms and Literate Programs for Weighted Low-Rank Approximation with Missing Data by I. Markovsky.- On Bivariate Interpolatory Mask Symbols, Subdivision and Refinable Functions by A. F. Rabarison, J. de Villiers.- Model and Feature Selection in Metrology Data Approximation by X. Yang, A. B. Forbes.

Автор: Asmussen
Название: Stochastic Simulation: Algorithms and Analysis
ISBN: 038730679X ISBN-13(EAN): 9780387306797
Издательство: Springer
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Цена: 46540.00 T
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Описание: Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods , as well as accompanying mathematical analysis of the convergence properties of the methods discussed . The reach of the ideas is illustrated by discussing a wide range of applications and the models that have found wide usage. The first  half of the book focusses on general methods, whereas the second half discusses model-specific algorithms. Given the wide range of  examples, exercises and applications students, practitioners and researchers in  probability, statistics, operations research, economics, finance, engineering  as well as biology and chemistry and physics will find the book of value.  Soren Asmussen is Professor of Applied Probability at Aarhus University, Denmark and Peter Glynn is Thomas Ford Professor of  Engineering at Stanford University. 

Автор: Dorit Hochbaum; Klaus Jansen; Jose D.P. Rolim; Ali
Название: Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques
ISBN: 3540663290 ISBN-13(EAN): 9783540663294
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text presents various new results within the areas covered by the workshop.

Автор: Armin Iske; Jeremy Levesley
Название: Algorithms for Approximation
ISBN: 3642069940 ISBN-13(EAN): 9783642069949
Издательство: Springer
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Цена: 144410.00 T
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Автор: Harold Kushner; G. George Yin
Название: Stochastic Approximation and Recursive Algorithms and Applications
ISBN: 1441918477 ISBN-13(EAN): 9781441918475
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. This second edition is a thorough revision, although the main features and structure remain unchanged.

Автор: Wilhelmus H. Schilders; Henk A. van der Vorst; Joo
Название: Model Order Reduction: Theory, Research Aspects and Applications
ISBN: 3540788409 ISBN-13(EAN): 9783540788409
Издательство: Springer
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Цена: 153720.00 T
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Описание: Describes the basics of model order reduction and related aspects. This work covers both general and specialized model order reduction techniques for linear and nonlinear systems, and discusses the use of model order reduction techniques in a variety of practical applications. It also contains many advances in model order reduction.

Автор: Wilhelmus H. Schilders; Henk A. van der Vorst; Joo
Название: Model Order Reduction: Theory, Research Aspects and Applications
ISBN: 3642427731 ISBN-13(EAN): 9783642427732
Издательство: Springer
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Цена: 153720.00 T
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Описание: The goal of this book is to describe the basics of model order reduction and related aspects. This is a high-quality book on industrial mathematics by one of the major research consortia in this field.

Автор: L. Fortuna; G. Nunnari; A. Gallo
Название: Model Order Reduction Techniques with Applications in Electrical Engineering
ISBN: 1447132009 ISBN-13(EAN): 9781447132004
Издательство: Springer
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Цена: 95770.00 T
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Описание: Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Particular attention is given to providing basic concepts for building expert systems for model reducution.

Автор: Zu-Qing Qu
Название: Model Order Reduction Techniques with Applications in Finite Element Analysis
ISBN: 1849969248 ISBN-13(EAN): 9781849969246
Издательство: Springer
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Цена: 153720.00 T
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Описание: Winner of the 2003 Thomas and Znaniecki Award, this book based on extensive research in all of the major Israeli communities including New York, Paris and London, looks at their reasons for leaving, their relations with Israelis who have not left and with the Jewish and non-Jewish communities in the countries in which they settle, as well as those who after years of emigration, decide to return.

Автор: Alexander N. Gorban; Nikolas Kazantzis; I. G. Kevr
Название: Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
ISBN: 364207149X ISBN-13(EAN): 9783642071492
Издательство: Springer
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Цена: 167660.00 T
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Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.