Performance Optimization Of Numerically Intensive Codes

Performance Optimization of Numerically Intensive Codes PDF
Author: Stefan Goedecker
Publisher: SIAM
ISBN: 9780898718218
Size: 25.11 MB
Format: PDF, Kindle
Category : Computer architecture
Languages : en
Pages : 173
View: 5386

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Performance Optimization Of Numerically Intensive Codes

by Stefan Goedecker, Performance Optimization Of Numerically Intensive Codes Books available in PDF, EPUB, Mobi Format. Download Performance Optimization Of Numerically Intensive Codes books, Performance Optimization of Numerically Intensive Codes offers a comprehensive, tutorial-style, hands-on, introductory and intermediate-level treatment of all the essential ingredients for achieving high performance in numerical computations on modern computers. The authors explain computer architectures, data traffic and issues related to performance of serial and parallel code optimization exemplified by actual programs written for algorithms of wide interest. The unique hands-on style is achieved by extensive case studies using realistic computational problems. The performance gain obtained by applying the techniques described in this book can be very significant. The book bridges the gap between the literature in system architecture, the one in numerical methods and the occasional descriptions of optimization topics in computer vendors' literature. It also allows readers to better judge the suitability of certain computer architecture to their computational requirements. In contrast to standard textbooks on computer architecture and on programming techniques the book treats these topics together at the level necessary for writing high-performance programs. The book facilitates easy access to these topics for computational scientists and engineers mainly interested in practical issues related to efficient code development.



Matrix Algebra

Matrix Algebra PDF
Author: James E. Gentle
Publisher: Springer Science & Business Media
ISBN: 0387708731
Size: 11.30 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 530
View: 2730

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Matrix Algebra

by James E. Gentle, Matrix Algebra Books available in PDF, EPUB, Mobi Format. Download Matrix Algebra books, Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.



Modeling Simulation And Optimization Of Complex Processes

Modeling  Simulation and Optimization of Complex Processes PDF
Author: Hans Georg Bock
Publisher: Springer Science & Business Media
ISBN: 9783540230274
Size: 27.42 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 597
View: 5319

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Modeling Simulation And Optimization Of Complex Processes

by Hans Georg Bock, Modeling Simulation And Optimization Of Complex Processes Books available in PDF, EPUB, Mobi Format. Download Modeling Simulation And Optimization Of Complex Processes books, This proceedings volume contains a selection of papers presented at the symposium "International Conference on High Performance Scientific Computing'' held at the Hanoi Institute of Mathematics of the Vietnam National Center for Natural Science and Technology (NCST), March 10-14, 2003. The conference has been organized by the Hanoi Institute of Mathematics, SFB 359 ''Reactive Flows, Transport and Diffusion'', Heidelberg, Ho Chi Minh City University of Technology and Interdisciplinary Center for Scientific Computing (IWR), Heidelberg. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and optimal control, parallel computing, symbolic computing, software development, applications of scientific computing in physics, chemistry, biology and mechanics, environmental and hydrology problems, transport, logistics and site location, communication networks, production scheduling, industrial and commercial problems.



Computational Science Iccs 2009

Computational Science     ICCS 2009 PDF
Author: Gabrielle Allen
Publisher: Springer Science & Business Media
ISBN: 3642019692
Size: 76.28 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 1030
View: 1011

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Computational Science Iccs 2009

by Gabrielle Allen, Computational Science Iccs 2009 Books available in PDF, EPUB, Mobi Format. Download Computational Science Iccs 2009 books, “There is something fascinating about science. One gets such wholesale returns of conjecture out of such a tri?ing investment of fact. ” Mark Twain, Life on the Mississippi The challenges in succeeding with computational science are numerous and deeply a?ect all disciplines. NSF’s 2006 Blue Ribbon Panel of Simulation-Based 1 Engineering Science (SBES) states ‘researchers and educators [agree]: com- tational and simulation engineering sciences are fundamental to the security and welfare of the United States. . . We must overcome di?culties inherent in multiscale modeling, the development of next-generation algorithms, and the design. . . of dynamic data-driven application systems. . . We must determine better ways to integrate data-intensive computing, visualization, and simulation. - portantly,wemustoverhauloureducationalsystemtofostertheinterdisciplinary study. . . The payo?sformeeting these challengesareprofound. ’The International Conference on Computational Science 2009 (ICCS 2009) explored how com- tational sciences are not only advancing the traditional hard science disciplines, but also stretching beyond, with applications in the arts, humanities, media and all aspects of research. This interdisciplinary conference drew academic and industry leaders from a variety of ?elds, including physics, astronomy, mat- matics,music,digitalmedia,biologyandengineering. Theconferencealsohosted computer and computational scientists who are designing and building the - ber infrastructure necessary for next-generation computing. Discussions focused on innovative ways to collaborate and how computational science is changing the future of research. ICCS 2009: ‘Compute. Discover. Innovate. ’ was hosted by the Center for Computation and Technology at Louisiana State University in Baton Rouge.



Performance Analysis And Grid Computing

Performance Analysis and Grid Computing PDF
Author: Vladimir Getov
Publisher: Springer Science & Business Media
ISBN: 1461503612
Size: 44.45 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 290
View: 435

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Performance Analysis And Grid Computing

by Vladimir Getov, Performance Analysis And Grid Computing Books available in PDF, EPUB, Mobi Format. Download Performance Analysis And Grid Computing books, Past and current research in computer performance analysis has focused primarily on dedicated parallel machines. However, future applications in the area of high-performance computing will not only use individual parallel systems but a large set of networked resources. This scenario of computational and data Grids is attracting a great deal of attention from both computer and computational scientists. In addition to the inherent complexity of parallel machines, the sharing and transparency of the available resources introduces new challenges on performance analysis, techniques, and systems. In order to meet those challenges, a multi-disciplinary approach to the multi-faceted problems of performance is required. New degrees of freedom will come into play with a direct impact on the performance of Grid computing, including wide-area network performance, quality-of-service (QoS), heterogeneity, and middleware systems, to mention only a few.



Numerical Linear Algebra On High Performance Computers

Numerical Linear Algebra on High Performance Computers PDF
Author: Jack J. Dongarra
Publisher: SIAM
ISBN: 0898714281
Size: 39.97 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 342
View: 2782

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Numerical Linear Algebra On High Performance Computers

by Jack J. Dongarra, Numerical Linear Algebra On High Performance Computers Books available in PDF, EPUB, Mobi Format. Download Numerical Linear Algebra On High Performance Computers books, Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.



Getting Up To Speed

Getting Up to Speed PDF
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309095026
Size: 50.79 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 306
View: 5391

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Getting Up To Speed

by National Research Council, Getting Up To Speed Books available in PDF, EPUB, Mobi Format. Download Getting Up To Speed books, Supercomputers play a significant and growing role in a variety of areas important to the nation. They are used to address challenging science and technology problems. In recent years, however, progress in supercomputing in the United States has slowed. The development of the Earth Simulator supercomputer by Japan that the United States could lose its competitive advantage and, more importantly, the national competence needed to achieve national goals. In the wake of this development, the Department of Energy asked the NRC to assess the state of U.S. supercomputing capabilities and relevant R&D. Subsequently, the Senate directed DOE in S. Rpt. 107-220 to ask the NRC to evaluate the Advanced Simulation and Computing program of the National Nuclear Security Administration at DOE in light of the development of the Earth Simulator. This report provides an assessment of the current status of supercomputing in the United States including a review of current demand and technology, infrastructure and institutions, and international activities. The report also presents a number of recommendations to enable the United States to meet current and future needs for capability supercomputers.



Petsc For Partial Differential Equations Numerical Solutions In C And Python

PETSc for Partial Differential Equations  Numerical Solutions in C and Python PDF
Author: Ed Bueler
Publisher: SIAM
ISBN: 1611976316
Size: 59.53 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 407
View: 3714

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Petsc For Partial Differential Equations Numerical Solutions In C And Python

by Ed Bueler, Petsc For Partial Differential Equations Numerical Solutions In C And Python Books available in PDF, EPUB, Mobi Format. Download Petsc For Partial Differential Equations Numerical Solutions In C And Python books, The Portable, Extensible Toolkit for Scientific Computation (PETSc) is an open-source library of advanced data structures and methods for solving linear and nonlinear equations and for managing discretizations. This book uses these modern numerical tools to demonstrate how to solve nonlinear partial differential equations (PDEs) in parallel. It starts from key mathematical concepts, such as Krylov space methods, preconditioning, multigrid, and Newton’s method. In PETSc these components are composed at run time into fast solvers. Discretizations are introduced from the beginning, with an emphasis on finite difference and finite element methodologies. The example C programs of the first 12 chapters, listed on the inside front cover, solve (mostly) elliptic and parabolic PDE problems. Discretization leads to large, sparse, and generally nonlinear systems of algebraic equations. For such problems, mathematical solver concepts are explained and illustrated through the examples, with sufficient context to speed further development. PETSc for Partial Differential Equations addresses both discretizations and fast solvers for PDEs, emphasizing practice more than theory. Well-structured examples lead to run-time choices that result in high solver performance and parallel scalability. The last two chapters build on the reader’s understanding of fast solver concepts when applying the Firedrake Python finite element solver library. This textbook, the first to cover PETSc programming for nonlinear PDEs, provides an on-ramp for graduate students and researchers to a major area of high-performance computing for science and engineering. It is suitable as a supplement for courses in scientific computing or numerical methods for differential equations.



Exascale Scientific Applications

Exascale Scientific Applications PDF
Author: Tjerk P. Straatsma
Publisher: CRC Press
ISBN: 1351999230
Size: 27.24 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 582
View: 4650

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Exascale Scientific Applications

by Tjerk P. Straatsma, Exascale Scientific Applications Books available in PDF, EPUB, Mobi Format. Download Exascale Scientific Applications books, From the Foreword: "The authors of the chapters in this book are the pioneers who will explore the exascale frontier. The path forward will not be easy... These authors, along with their colleagues who will produce these powerful computer systems will, with dedication and determination, overcome the scalability problem, discover the new algorithms needed to achieve exascale performance for the broad range of applications that they represent, and create the new tools needed to support the development of scalable and portable science and engineering applications. Although the focus is on exascale computers, the benefits will permeate all of science and engineering because the technologies developed for the exascale computers of tomorrow will also power the petascale servers and terascale workstations of tomorrow. These affordable computing capabilities will empower scientists and engineers everywhere." — Thom H. Dunning, Jr., Pacific Northwest National Laboratory and University of Washington, Seattle, Washington, USA "This comprehensive summary of applications targeting Exascale at the three DoE labs is a must read." — Rio Yokota, Tokyo Institute of Technology, Tokyo, Japan "Numerical simulation is now a need in many fields of science, technology, and industry. The complexity of the simulated systems coupled with the massive use of data makes HPC essential to move towards predictive simulations. Advances in computer architecture have so far permitted scientific advances, but at the cost of continually adapting algorithms and applications. The next technological breakthroughs force us to rethink the applications by taking energy consumption into account. These profound modifications require not only anticipation and sharing but also a paradigm shift in application design to ensure the sustainability of developments by guaranteeing a certain independence of the applications to the profound modifications of the architectures: it is the passage from optimal performance to the portability of performance. It is the challenge of this book to demonstrate by example the approach that one can adopt for the development of applications offering performance portability in spite of the profound changes of the computing architectures." — Christophe Calvin, CEA, Fundamental Research Division, Saclay, France "Three editors, one from each of the High Performance Computer Centers at Lawrence Berkeley, Argonne, and Oak Ridge National Laboratories, have compiled a very useful set of chapters aimed at describing software developments for the next generation exa-scale computers. Such a book is needed for scientists and engineers to see where the field is going and how they will be able to exploit such architectures for their own work. The book will also benefit students as it provides insights into how to develop software for such computer architectures. Overall, this book fills an important need in showing how to design and implement algorithms for exa-scale architectures which are heterogeneous and have unique memory systems. The book discusses issues with developing user codes for these architectures and how to address these issues including actual coding examples.’ — Dr. David A. Dixon, Robert Ramsay Chair, The University of Alabama, Tuscaloosa, Alabama, USA