Accuracy And Reliability In Scientific Computing

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Accuracy and Reliability in Scientific Computing

Bo Einarsson
Accuracy and Reliability in Scientific Computing Book PDF

Author : Bo Einarsson
Publisher : SIAM
Page : 361 pages
File Size : 44,6 Mb
Release : 2005-01-01
Category : Science
ISBN : 0898718155

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Accuracy and Reliability in Scientific Computing by Bo Einarsson Pdf

Numerical software is used to test scientific theories, design airplanes and bridges, operate manufacturing lines, control power plants and refineries, analyze financial derivatives, identify genomes, and provide the understanding necessary to derive and analyze cancer treatments. Because of the high stakes involved, it is essential that results computed using software be accurate, reliable, and robust. Unfortunately, developing accurate and reliable scientific software is notoriously difficult. This book investigates some of the difficulties related to scientific computing and provides insight into how to overcome them and obtain dependable results. The tools to assess existing scientific applications are described, and a variety of techniques that can improve the accuracy and reliability of newly developed applications is discussed. Accuracy and Reliability in Scientific Computing can be considered a handbook for improving the quality of scientific computing. It will help computer scientists address the problems that affect software in general as well as the particular challenges of numerical computation: approximations occurring at all levels, continuous functions replaced by discretized versions, infinite processes replaced by finite ones, and real numbers replaced by finite precision numbers. Divided into three parts, it starts by illustrating some of the difficulties in producing robust and reliable scientific software. Well-known cases of failure are reviewed and the what and why of numerical computations are considered. The second section describes diagnostic tools that can be used to assess the accuracy and reliability of existing scientific applications. In the last section, the authors describe a variety of techniques that can be employed to improve the accuracy and reliability of newly developed scientific applications. The authors of the individual chapters are international experts, many of them members of the IFIP Working Group on Numerical Software.

Accuracy and Reliability in Scientific Computing

Bo Einarsson
Accuracy and Reliability in Scientific Computing Book PDF

Author : Bo Einarsson
Publisher : SIAM
Page : 348 pages
File Size : 43,7 Mb
Release : 2005-08-01
Category : Science
ISBN : 9780898715842

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Accuracy and Reliability in Scientific Computing by Bo Einarsson Pdf

This book investigates some of the difficulties related to scientific computing, describing how these can be overcome.

Reliability in Computing

Ramon E. Moore
Reliability in Computing Book PDF

Author : Ramon E. Moore
Publisher : Elsevier
Page : 444 pages
File Size : 52,6 Mb
Release : 2014-05-10
Category : Computers
ISBN : 9781483277844

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Reliability in Computing by Ramon E. Moore Pdf

Perspectives in Computing, Vol. 19: Reliability in Computing: The Role of Interval Methods in Scientific Computing presents a survey of the role of interval methods in reliable scientific computing, including vector arithmetic, language description, convergence, and algorithms. The selection takes a look at arithmetic for vector processors, FORTRAN-SC, and reliable expression evaluation in PASCAL-SC. Discussions focus on interval arithmetic, optimal scalar product, matrix and vector arithmetic, transformation of arithmetic expressions, development of FORTRAN-SC, and language description with examples. The text then examines floating-point standards, algorithms for verified inclusions, applications of differentiation arithmetic, and interval acceleration of convergence. The book ponders on solving systems of linear interval equations, interval least squares, existence of solutions and iterations for nonlinear equations, and interval methods for algebraic equations. Topics include interval methods for single equations, diagnosing collinearity, interval linear equations, effects of nonlinearity, and bounding the solutions. The publication is a valuable source of data for computer science experts and researchers interested in the role of interval methods in reliable scientific computing.

Developments in Reliable Computing

Tibor Csendes
Developments in Reliable Computing Book PDF

Author : Tibor Csendes
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 49,9 Mb
Release : 1999
Category : Computers
ISBN : 0792360575

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Developments in Reliable Computing by Tibor Csendes Pdf

The present volume contains 30 articles presented at SCAN-98, Budapest, Hungary. These papers cover all aspects of validation techniques in scientific computing, ranging from hardware requirements, elementary operations, high accuracy function evaluations and interval arithmetic to advanced validating techniques and applications in various fields of practical interest. Audience: This book is of interest to researchers and graduate students whose work involves validation techniques in scientific computing.

Numerical Methods in Scientific Computing:

Germund Dahlquist,Ake Bjorck
Numerical Methods in Scientific Computing Book PDF

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 54,5 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Parallel Processing for Scientific Computing

Michael A. Heroux,Padma Raghavan,Horst D. Simon
Parallel Processing for Scientific Computing Book PDF

Author : Michael A. Heroux,Padma Raghavan,Horst D. Simon
Publisher : SIAM
Page : 421 pages
File Size : 44,6 Mb
Release : 2006-01-01
Category : Computers
ISBN : 0898718139

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Parallel Processing for Scientific Computing by Michael A. Heroux,Padma Raghavan,Horst D. Simon Pdf

Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel computing in 10 years; it reflects the mix of topics that mathematicians, computer scientists, and computational scientists focus on to make parallel processing effective for scientific problems. Presently, the impact of parallel processing on scientific computing varies greatly across disciplines, but it plays a vital role in most problem domains and is absolutely essential in many of them. Parallel Processing for Scientific Computing is divided into four parts: The first concerns performance modeling, analysis, and optimization; the second focuses on parallel algorithms and software for an array of problems common to many modeling and simulation applications; the third emphasizes tools and environments that can ease and enhance the process of application development; and the fourth provides a sampling of applications that require parallel computing for scaling to solve larger and realistic models that can advance science and engineering.

Introduction to High Performance Scientific Computing

David L. Chopp
Introduction to High Performance Scientific Computing Book PDF

Author : David L. Chopp
Publisher : SIAM
Page : 470 pages
File Size : 46,7 Mb
Release : 2019-03-01
Category : Mathematics
ISBN : 9781611975635

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Introduction to High Performance Scientific Computing by David L. Chopp Pdf

Based on a course developed by the author, Introduction to High Performance Scientific Computing introduces methods for adding parallelism to numerical methods for solving differential equations. It contains exercises and programming projects that facilitate learning as well as examples and discussions based on the C programming language, with additional comments for those already familiar with C++. The text provides an overview of concepts and algorithmic techniques for modern scientific computing and is divided into six self-contained parts that can be assembled in any order to create an introductory course using available computer hardware. Part I introduces the C programming language for those not already familiar with programming in a compiled language. Part II describes parallelism on shared memory architectures using OpenMP. Part III details parallelism on computer clusters using MPI for coordinating a computation. Part IV demonstrates the use of graphical programming units (GPUs) to solve problems using the CUDA language for NVIDIA graphics cards. Part V addresses programming on GPUs for non-NVIDIA graphics cards using the OpenCL framework. Finally, Part VI contains a brief discussion of numerical methods and applications, giving the reader an opportunity to test the methods on typical computing problems.

Computer Arithmetic and Validity

Ulrich Kulisch
Computer Arithmetic and Validity Book PDF

Author : Ulrich Kulisch
Publisher : Walter de Gruyter
Page : 456 pages
File Size : 51,9 Mb
Release : 2013-04-30
Category : Mathematics
ISBN : 9783110301793

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Computer Arithmetic and Validity by Ulrich Kulisch Pdf

This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.

Scientific Computing with Automatic Result Verification

Adams
Scientific Computing with Automatic Result Verification Book PDF

Author : Adams
Publisher : Academic Press
Page : 626 pages
File Size : 53,6 Mb
Release : 1992-12-03
Category : Computers
ISBN : 9780080958750

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Scientific Computing with Automatic Result Verification by Adams Pdf

Scientific Computing with Automatic Result Verification

Verification and Validation in Scientific Computing

William L. Oberkampf,Christopher J. Roy
Verification and Validation in Scientific Computing Book PDF

Author : William L. Oberkampf,Christopher J. Roy
Publisher : Cambridge University Press
Page : 782 pages
File Size : 43,7 Mb
Release : 2010-10-14
Category : Computers
ISBN : 9781139491761

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Verification and Validation in Scientific Computing by William L. Oberkampf,Christopher J. Roy Pdf

Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.

Computational Plasma Science

Shigeo Kawata
Computational Plasma Science Book PDF

Author : Shigeo Kawata
Publisher : Springer Nature
Page : 299 pages
File Size : 43,9 Mb
Release : 2023-05-09
Category : Science
ISBN : 9789819911370

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Computational Plasma Science by Shigeo Kawata Pdf

The book presents fundamentals of plasma physics with rich references and computational techniques in a concise manner. It particularly focuses on introductions to numerical simulation methods in plasma physics, in addition to those to physics and mathematics in plasma physics. It also presents the fundamentals of numerical methods, which solve mathematical models of plasmas, together with examples of numerical results. A discretization method, the so-called finite difference method, is introduced for particle-in-cell methods and fluid codes, which have been widely employed in plasma physics studies. In addition to the introduction to numerical solutions, it also covers numerical stability. The instabilities and numerical errors significantly influence the results, and for correct results, great efforts are required to avoid such numerical artifacts. The book also carefully discusses the numerical errors, numerical stability, and uncertainty in numerical computations. Readers are expected to have an understanding of fundamental physics of mechanics, electromagnetism, thermodynamics, statistical physics, relativity, fluid dynamics, and mathematics, but the book does not assume background knowledge on plasma. Therefore, it is a first book of plasma physics for upper undergraduate and early graduate students who are interested in learning it.

Developments in Reliable Computing

Tibor Csendes
Developments in Reliable Computing Book PDF

Author : Tibor Csendes
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 53,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401712477

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Developments in Reliable Computing by Tibor Csendes Pdf

The SCAN conference, the International Symposium on Scientific Com puting, Computer Arithmetic and Validated Numerics, takes place bian nually under the joint auspices of GAMM (Gesellschaft fiir Angewandte Mathematik und Mechanik) and IMACS (International Association for Mathematics and Computers in Simulation). SCAN-98 attracted more than 100 participants from 21 countries all over the world. During the four days from September 22 to 25, nine highlighted, plenary lectures and over 70 contributed talks were given. These figures indicate a large participation, which was partly caused by the attraction of the organizing country, Hungary, but also the effec tive support system have contributed to the success. The conference was substantially supported by the Hungarian Research Fund OTKA, GAMM, the National Technology Development Board OMFB and by the J6zsef Attila University. Due to this funding, it was possible to subsidize the participation of over 20 scientists, mainly from Eastern European countries. It is important that the possibly first participation of 6 young researchers was made possible due to the obtained support. The number of East-European participants was relatively high. These results are especially valuable, since in contrast to the usual 2 years period, the present meeting was organized just one year after the last SCAN-xx conference.

Simula Research Laboratory

Aslak Tveito,Are Magnus Bruaset,Olav Lysne
Simula Research Laboratory Book PDF

Author : Aslak Tveito,Are Magnus Bruaset,Olav Lysne
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 53,6 Mb
Release : 2009-10-22
Category : Mathematics
ISBN : 9783642011566

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Simula Research Laboratory by Aslak Tveito,Are Magnus Bruaset,Olav Lysne Pdf

When researchers gather around lunch tables, at conferences, or in bars, there are some topics that are more or less compulsory. The discussions are about the ho- less management of the university or the lab where they are working, the lack of funding for important research, politicians’ inability to grasp the potential of a p- ticularly promising ?eld, and the endless series of committees that seem to produce very little progress. It is common to meet excellent researchers claiming that they have almost no time to do research because writing applications, lecturing, and - tending to committee work seem to take most of their time. Very few ever come into a position to do something about it. With Simula we have this chance. We were handed a considerable annual grant and more or less left to ourselves to do whatever we thought would produce the best possible results. We wanted to create a place where researchers could have the time and conditions necessary to re?ect over dif?cult problems, uninterrupted by mundane dif?culties; where doctoral students could be properly supervised and learn the craft of research in a well-organized and professional manner; and where entrepreneurs could ?nd professional support in developing their research-based - plications and innovations.

Validation Numerics

R. Albrecht,G. Alefeld,H.J. Stetter
Validation Numerics Book PDF

Author : R. Albrecht,G. Alefeld,H.J. Stetter
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783709169186

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Validation Numerics by R. Albrecht,G. Alefeld,H.J. Stetter Pdf

The articles in this book give a comprehensive overview on the whole field of validated numerics. The problems covered include simultaneous systems of linear and nonlinear equations, differential and integral equations and certain applications from technical sciences. Furthermore some papers which improve the tools are included. The book is a must for scientists working in numerical analysis, computer science and in technical fields.

Advances in Social Science Research Using R

Hrishikesh D. Vinod
Advances in Social Science Research Using R Book PDF

Author : Hrishikesh D. Vinod
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 44,9 Mb
Release : 2009-12-24
Category : Business & Economics
ISBN : 9781441917645

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Advances in Social Science Research Using R by Hrishikesh D. Vinod Pdf

Quantitative social science research has been expanding due to the ava- ability of computers and data over the past few decades. Yet the textbooks and supplements for researchers do not adequately highlight the revolution created by the R software [2] and graphics system. R is fast becoming the l- gua franca of quantitative research with some 2000 free specialized packages, where the latest versions can be downloaded in seconds. Many packages such as “car” [1] developed by social scientists are popular among all scientists. An early 2009 article [3] in the New York Times notes that statisticians, engineers and scientists without computer programming skills ?nd R “easy to use.” A common language R can readily promote deeper mutual respect and understanding of unique problems facing quantitative work in various social sciences. Often the solutions developed in one ?eld can be extended and used in many ?elds. This book promotes just such exchange of ideas across many social sciences. Since Springer has played a leadership role in promoting R, we are fortunate to have Springer publish this book. A Conference on Quantitative Social Science Research Using R was held in New York City at the Lincoln Center campus of Fordham University, June 18–19, 2009. This book contains selected papers presented at the conference, representing the “Proceedings” of the conference.