Computational Complexity and Statistical Physics

Computational Complexity and Statistical Physics

Author: Allon Percus

Publisher: OUP USA

Published: 2006-02-23

Total Pages: 386

ISBN-13: 9780195177381

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Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.


Parallel Algorithms in Computational Science

Parallel Algorithms in Computational Science

Author: Dieter W. Heermann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 192

ISBN-13: 3642762654

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Our aim in this book is to present and enlarge upon those aspects of parallel computing that are needed by practitioners of computational science. Today al most all classical sciences, such as mathematics, physics, chemistry and biology, employ numerical methods to help gain insight into nature. In addition to the traditional numerical methods, such as matrix inversions and the like, a whole new field of computational techniques has come to assume central importance, namely the numerical simulation methods. These methods are much less fully developed than those which are usually taught in a standard numerical math ematics course. However, they form a whole new set of tools for research in the physical sciences and are applicable to a very wide range of problems. At the same time there have been not only enormous strides forward in the speed and capability of computers but also dramatic new developments in computer architecture, and particularly in parallel computers. These improvements offer exciting prospects for computer studies of physical systems, and it is the new techniques and methods connected with such computer simulations that we seek to present in this book, particularly in the light of the possibilities opened up by parallel computers. It is clearly not possible at this early stage to write a definitive book on simulation methods and parallel computing.


Unifying Themes In Complex Systems, Volume 1

Unifying Themes In Complex Systems, Volume 1

Author: Yaneer Bar-yam

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 696

ISBN-13: 0429971893

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The study of complex systems has attracted a broad range of researchers from many disciplines spanning both the hard and soft sciences. In the Autumn of 1997, 300 of these researchers came together for the First International Conference on Complex Systems. The proceedings of this conference is the first book in the New England Complex Systems Institute Series on Complexity and includes more than 100 presentations and papers on topics like evolution, emergence, complexity, self-organization, scaling, informatics, time series, emergence of mind, and engineering of complex systems.


Handbook of Parallel Computing and Statistics

Handbook of Parallel Computing and Statistics

Author: Erricos John Kontoghiorghes

Publisher: CRC Press

Published: 2005-12-21

Total Pages: 560

ISBN-13: 9781420028683

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Technological improvements continue to push back the frontier of processor speed in modern computers. Unfortunately, the computational intensity demanded by modern research problems grows even faster. Parallel computing has emerged as the most successful bridge to this computational gap, and many popular solutions have emerged based on its concepts


Limits to Parallel Computation

Limits to Parallel Computation

Author: Raymond Greenlaw

Publisher: Oxford University Press

Published: 1995-04-06

Total Pages: 328

ISBN-13: 0195358902

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This book provides a comprehensive analysis of the most important topics in parallel computation. It is written so that it may be used as a self-study guide to the field, and researchers in parallel computing will find it a useful reference for many years to come. The first half of the book consists of an introduction to many fundamental issues in parallel computing. The second half provides lists of P-complete- and open problems. These lists will have lasting value to researchers in both industry and academia. The lists of problems, with their corresponding remarks, the thorough index, and the hundreds of references add to the exceptional value of this resource. While the exciting field of parallel computation continues to expand rapidly, this book serves as a guide to research done through 1994 and also describes the fundamental concepts that new workers will need to know in coming years. It is intended for anyone interested in parallel computing, including senior level undergraduate students, graduate students, faculty, and people in industry. As an essential reference, the book will be needed in all academic libraries.


Computational Complexity

Computational Complexity

Author: Sanjeev Arora

Publisher: Cambridge University Press

Published: 2009-04-20

Total Pages: 609

ISBN-13: 0521424267

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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.


Monte Carlo Methods for Applied Scientists

Monte Carlo Methods for Applied Scientists

Author: Ivan T. Dimov

Publisher: World Scientific

Published: 2008

Total Pages: 308

ISBN-13: 9810223293

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The Monte Carlo method is inherently parallel and the extensive and rapid development in parallel computers, computational clusters and grids has resulted in renewed and increasing interest in this method. At the same time there has been an expansion in the application areas and the method is now widely used in many important areas of science including nuclear and semiconductor physics, statistical mechanics and heat and mass transfer.This book attempts to bridge the gap between theory and practice concentrating on modern algorithmic implementation on parallel architecture machines. Although a suitable text for final year postgraduate mathematicians and computational scientists it is principally aimed at the applied scientists: only a small amount of mathematical knowledge is assumed and theorem proving is kept to a minimum, with the main focus being on parallel algorithms development often to applied industrial problems.A selection of algorithms developed both for serial and parallel machines are provided.


Parallel and Distributed Computing

Parallel and Distributed Computing

Author: Michel Cosnard

Publisher: Springer Science & Business Media

Published: 1994-05-02

Total Pages: 296

ISBN-13: 9783540580782

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This volume presents the proceedings of the First Canada-France Conference on Parallel Computing; despite its name, this conference was open to full international contribution and participation, as shown by the list of contributing authors. This volume consists of in total 22 full papers, either invited or accepted and revised after a thorough reviewing process. All together the papers provide a highly competent perspective on research in parallel algorithms and complexity, interconnection networks and distributed computing, algorithms for unstructured problems, and structured communications from the point of view of parallel and distributed computing.


Unifying Themes in Complex Systems

Unifying Themes in Complex Systems

Author: Ali A. Minai

Publisher: Springer Science & Business Media

Published: 2007-08-06

Total Pages: 389

ISBN-13: 3540358668

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In recent years, scientists have applied the principles of complex systems science to increasingly diverse fields. The results have been nothing short of remarkable. The Third International Conference on Complex Systems attracted over 400 researchers from around the world. The conference aimed to encourage cross-fertilization between the many disciplines represented and to deepen our understanding of the properties common to all complex systems.