Parallel Numerical Algorithms

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Parallel and Distributed Computation: Numerical Methods

Dimitri Bertsekas,John Tsitsiklis
Parallel and Distributed Computation Numerical Methods Book PDF

Author : Dimitri Bertsekas,John Tsitsiklis
Publisher : Athena Scientific
Page : 832 pages
File Size : 47,5 Mb
Release : 2015-03-01
Category : Mathematics
ISBN : 9781886529151

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Parallel and Distributed Computation: Numerical Methods by Dimitri Bertsekas,John Tsitsiklis Pdf

This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.

Parallel Numerical Algorithms

David E. Keyes,Ahmed Sameh,V. Venkatakrishnan
Parallel Numerical Algorithms Book PDF

Author : David E. Keyes,Ahmed Sameh,V. Venkatakrishnan
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401154123

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Parallel Numerical Algorithms by David E. Keyes,Ahmed Sameh,V. Venkatakrishnan Pdf

In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.

Parallel Iterative Algorithms

Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier
Parallel Iterative Algorithms Book PDF

Author : Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier
Publisher : CRC Press
Page : 240 pages
File Size : 48,9 Mb
Release : 2007-11-28
Category : Computers
ISBN : 1584888091

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Parallel Iterative Algorithms by Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier Pdf

Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and drawbacks of the algorithms. Several exercises also appear at the end of most chapters. The first two chapters introduce the general features of sequential iterative algorithms and their applications to numerical problems. The book then describes different kinds of parallel systems and parallel iterative algorithms. It goes on to address both linear and nonlinear parallel synchronous and asynchronous iterative algorithms for numerical computation, with an emphasis on the multisplitting approach. The final chapter discusses the features required for efficient implementation of asynchronous iterative algorithms. Providing the theoretical and practical knowledge needed to design and implement efficient parallel iterative algorithms, this book illustrates how to apply these algorithms to solve linear and nonlinear numerical problems in parallel environments, including local, distant, homogeneous, and heterogeneous clusters.

Parallel Numerical Algorithms

T. Len Freeman,Chris Phillips
Parallel Numerical Algorithms Book PDF

Author : T. Len Freeman,Chris Phillips
Publisher : Unknown
Page : 336 pages
File Size : 41,8 Mb
Release : 1992
Category : Computers
ISBN : UOM:39015025201404

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Parallel Numerical Algorithms by T. Len Freeman,Chris Phillips Pdf

Mathematics of Computing -- Parallelism.

Parallel Algorithms for Matrix Computations

K. Gallivan,M. Heath,E. Ng,B. Peyton,R. Plemmons,J. Ortega,C. Romine,A. Sameh,R. Voigt
Parallel Algorithms for Matrix Computations Book PDF

Author : K. Gallivan,M. Heath,E. Ng,B. Peyton,R. Plemmons,J. Ortega,C. Romine,A. Sameh,R. Voigt
Publisher : SIAM
Page : 207 pages
File Size : 47,8 Mb
Release : 1990-01-01
Category : Mathematics
ISBN : 1611971705

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Parallel Algorithms for Matrix Computations by K. Gallivan,M. Heath,E. Ng,B. Peyton,R. Plemmons,J. Ortega,C. Romine,A. Sameh,R. Voigt Pdf

Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.

Introduction to Parallel Algorithms

C. Xavier,S. S. Iyengar
Introduction to Parallel Algorithms Book PDF

Author : C. Xavier,S. S. Iyengar
Publisher : John Wiley & Sons
Page : 388 pages
File Size : 50,5 Mb
Release : 1998-08-05
Category : Computers
ISBN : 0471251828

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Introduction to Parallel Algorithms by C. Xavier,S. S. Iyengar Pdf

Parallel algorithms Made Easy The complexity of today's applications coupled with the widespread use of parallel computing has made the design and analysis of parallel algorithms topics of growing interest. This volume fills a need in the field for an introductory treatment of parallel algorithms-appropriate even at the undergraduate level, where no other textbooks on the subject exist. It features a systematic approach to the latest design techniques, providing analysis and implementation details for each parallel algorithm described in the book. Introduction to Parallel Algorithms covers foundations of parallel computing; parallel algorithms for trees and graphs; parallel algorithms for sorting, searching, and merging; and numerical algorithms. This remarkable book: * Presents basic concepts in clear and simple terms * Incorporates numerous examples to enhance students' understanding * Shows how to develop parallel algorithms for all classical problems in computer science, mathematics, and engineering * Employs extensive illustrations of new design techniques * Discusses parallel algorithms in the context of PRAM model * Includes end-of-chapter exercises and detailed references on parallel computing. This book enables universities to offer parallel algorithm courses at the senior undergraduate level in computer science and engineering. It is also an invaluable text/reference for graduate students, scientists, and engineers in computer science, mathematics, and engineering.

Parallel Scientific Computing in C++ and MPI

George Em Karniadakis,Robert M. Kirby II
Parallel Scientific Computing in C and MPI Book PDF

Author : George Em Karniadakis,Robert M. Kirby II
Publisher : Cambridge University Press
Page : 640 pages
File Size : 41,7 Mb
Release : 2003-06-16
Category : Computers
ISBN : 9781107494770

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Parallel Scientific Computing in C++ and MPI by George Em Karniadakis,Robert M. Kirby II Pdf

Numerical algorithms, modern programming techniques, and parallel computing are often taught serially across different courses and different textbooks. The need to integrate concepts and tools usually comes only in employment or in research - after the courses are concluded - forcing the student to synthesise what is perceived to be three independent subfields into one. This book provides a seamless approach to stimulate the student simultaneously through the eyes of multiple disciplines, leading to enhanced understanding of scientific computing as a whole. The book includes both basic as well as advanced topics and places equal emphasis on the discretization of partial differential equations and on solvers. Some of the advanced topics include wavelets, high-order methods, non-symmetric systems, and parallelization of sparse systems. The material covered is suited to students from engineering, computer science, physics and mathematics.

Parallel Algorithms

Henri Casanova,Arnaud Legrand,Yves Robert
Parallel Algorithms Book PDF

Author : Henri Casanova,Arnaud Legrand,Yves Robert
Publisher : CRC Press
Page : 360 pages
File Size : 49,9 Mb
Release : 2008-07-17
Category : Computers
ISBN : 9781584889465

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Parallel Algorithms by Henri Casanova,Arnaud Legrand,Yves Robert Pdf

Focusing on algorithms for distributed-memory parallel architectures, Parallel Algorithms presents a rigorous yet accessible treatment of theoretical models of parallel computation, parallel algorithm design for homogeneous and heterogeneous platforms, complexity and performance analysis, and essential notions of scheduling. The book extract

Algorithms and Parallel Computing

Fayez Gebali
Algorithms and Parallel Computing Book PDF

Author : Fayez Gebali
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 52,7 Mb
Release : 2011-03-29
Category : Computers
ISBN : 9780470934630

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Algorithms and Parallel Computing by Fayez Gebali Pdf

There is a software gap between the hardware potential and the performance that can be attained using today's software parallel program development tools. The tools need manual intervention by the programmer to parallelize the code. Programming a parallel computer requires closely studying the target algorithm or application, more so than in the traditional sequential programming we have all learned. The programmer must be aware of the communication and data dependencies of the algorithm or application. This book provides the techniques to explore the possible ways to program a parallel computer for a given application.

Parallel Algorithms for Linear Models

Erricos Kontoghiorghes
Parallel Algorithms for Linear Models Book PDF

Author : Erricos Kontoghiorghes
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 49,7 Mb
Release : 2000-01-31
Category : Business & Economics
ISBN : 0792377206

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Parallel Algorithms for Linear Models by Erricos Kontoghiorghes Pdf

Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Parallel Optimization

Department of Mathematics and Computer Science Yair Censor,Yair Censor,Stavros Andrea Zenios,Department of Public and Business Administration Stavros A Zenios
Parallel Optimization Book PDF

Author : Department of Mathematics and Computer Science Yair Censor,Yair Censor,Stavros Andrea Zenios,Department of Public and Business Administration Stavros A Zenios
Publisher : Oxford University Press on Demand
Page : 574 pages
File Size : 50,6 Mb
Release : 1997
Category : Mathematics
ISBN : 019510062X

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Parallel Optimization by Department of Mathematics and Computer Science Yair Censor,Yair Censor,Stavros Andrea Zenios,Department of Public and Business Administration Stavros A Zenios Pdf

This book offers a unique pathway to methods of parallel optimization by introducing parallel computing ideas into both optimization theory and into some numerical algorithms for large-scale optimization problems. The three parts of the book bring together relevant theory, careful study of algorithms, and modeling of significant real world problems such as image reconstruction, radiation therapy treatment planning, financial planning, transportation and multi-commodity network flow problems, planning under uncertainty, and matrix balancing problems.

Parallel Algorithms for Linear Models

Erricos Kontoghiorghes
Parallel Algorithms for Linear Models Book PDF

Author : Erricos Kontoghiorghes
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461545712

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Parallel Algorithms for Linear Models by Erricos Kontoghiorghes Pdf

Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

Numerical Algorithms

Justin Solomon
Numerical Algorithms Book PDF

Author : Justin Solomon
Publisher : CRC Press
Page : 400 pages
File Size : 42,7 Mb
Release : 2015-06-24
Category : Computers
ISBN : 9781482251890

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Numerical Algorithms by Justin Solomon Pdf

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Parallel Algorithms in Computational Science and Engineering

Ananth Grama,Ahmed H. Sameh
Parallel Algorithms in Computational Science and Engineering Book PDF

Author : Ananth Grama,Ahmed H. Sameh
Publisher : Springer Nature
Page : 421 pages
File Size : 51,7 Mb
Release : 2020-07-06
Category : Computers
ISBN : 9783030437367

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Parallel Algorithms in Computational Science and Engineering by Ananth Grama,Ahmed H. Sameh Pdf

This contributed volume highlights two areas of fundamental interest in high-performance computing: core algorithms for important kernels and computationally demanding applications. The first few chapters explore algorithms, numerical techniques, and their parallel formulations for a variety of kernels that arise in applications. The rest of the volume focuses on state-of-the-art applications from diverse domains. By structuring the volume around these two areas, it presents a comprehensive view of the application landscape for high-performance computing, while also enabling readers to develop new applications using the kernels. Readers will learn how to choose the most suitable parallel algorithms for any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated in detail, including: Computational materials science and engineering Computational cardiovascular analysis Multiscale analysis of wind turbines and turbomachinery Weather forecasting Machine learning techniques Parallel Algorithms in Computational Science and Engineering will be an ideal reference for applied mathematicians, engineers, computer scientists, and other researchers who utilize high-performance computing in their work.

High-Performance Scientific Computing

Michael W. Berry,Kyle A. Gallivan,Efstratios Gallopoulos,Ananth Grama,Bernard Philippe,Yousef Saad,Faisal Saied
High Performance Scientific Computing Book PDF

Author : Michael W. Berry,Kyle A. Gallivan,Efstratios Gallopoulos,Ananth Grama,Bernard Philippe,Yousef Saad,Faisal Saied
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 40,6 Mb
Release : 2012-01-18
Category : Computers
ISBN : 9781447124375

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High-Performance Scientific Computing by Michael W. Berry,Kyle A. Gallivan,Efstratios Gallopoulos,Ananth Grama,Bernard Philippe,Yousef Saad,Faisal Saied Pdf

This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software. The book examines various solutions for issues of concurrency, scale, energy efficiency, and programmability, which are discussed in the context of a diverse range of applications. Features: includes contributions from an international selection of world-class authorities; examines parallel algorithm-architecture interaction through issues of computational capacity-based codesign and automatic restructuring of programs using compilation techniques; reviews emerging applications of numerical methods in information retrieval and data mining; discusses the latest issues in dense and sparse matrix computations for modern high-performance systems, multicores, manycores and GPUs, and several perspectives on the Spike family of algorithms for solving linear systems; presents outstanding challenges and developing technologies, and puts these in their historical context.