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Efficient Algorithms For Verified Scientific Computing
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Book Synopsis Numerical Methods in Scientific Computing by : Germund Dahlquist
Download or read book Numerical Methods in Scientific Computing written by Germund Dahlquist and published by SIAM. This book was released on 2008-01-01 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
Book Synopsis Reliability in Computing by : Ramon E. Moore
Download or read book Reliability in Computing written by Ramon E. Moore and published by . This book was released on 1988 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Verification and Validation in Scientific Computing by : William L. Oberkampf
Download or read book Verification and Validation in Scientific Computing written by William L. Oberkampf and published by Cambridge University Press. This book was released on 2010-10-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Scientific Computing, Computer Arithmetic, and Validated Numerics by : Marco Nehmeier
Download or read book Scientific Computing, Computer Arithmetic, and Validated Numerics written by Marco Nehmeier and published by Springer. This book was released on 2016-04-08 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post proceedings of the 16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014. The 22 full papers presented were carefully reviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools.
Book Synopsis Numerical Algorithms by : Justin Solomon
Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Handbook of Floating-Point Arithmetic by : Jean-Michel Muller
Download or read book Handbook of Floating-Point Arithmetic written by Jean-Michel Muller and published by Birkhäuser. This book was released on 2018-05-02 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
Book Synopsis Scientific Computing with Automatic Result Verification by : Adams
Download or read book Scientific Computing with Automatic Result Verification written by Adams and published by Academic Press. This book was released on 1992-12-03 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing with Automatic Result Verification
Book Synopsis Scientific Computing with Case Studies by : Dianne P. O'Leary
Download or read book Scientific Computing with Case Studies written by Dianne P. O'Leary and published by SIAM. This book was released on 2009-03-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.
Book Synopsis Scientific Computing, Validated Numerics, Interval Methods by : Walter Krämer
Download or read book Scientific Computing, Validated Numerics, Interval Methods written by Walter Krämer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scan 2000, the GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics and Interval 2000, the International Conference on Interval Methods in Science and Engineering were jointly held in Karlsruhe, September 19-22, 2000. The joint conference continued the series of 7 previous Scan-symposia under the joint sponsorship of GAMM and IMACS. These conferences have traditionally covered the numerical and algorithmic aspects of scientific computing, with a strong emphasis on validation and verification of computed results as well as on arithmetic, programming, and algorithmic tools for this purpose. The conference further continued the series of 4 former Interval conferences focusing on interval methods and their application in science and engineering. The objectives are to propagate current applications and research as well as to promote a greater understanding and increased awareness of the subject matters. The symposium was held in Karlsruhe the European cradle of interval arithmetic and self-validating numerics and attracted 193 researchers from 33 countries. 12 invited and 153 contributed talks were given. But not only the quantity was overwhelming we were deeply impressed by the emerging maturity of our discipline. There were many talks discussing a wide variety of serious applications stretching all parts of mathematical modelling. New efficient, publicly available or even commercial tools were proposed or presented, and also foundations of the theory of intervals and reliable computations were considerably strengthened.
Book Synopsis Computer Aided Verification by : Pierre Wolper
Download or read book Computer Aided Verification written by Pierre Wolper and published by Springer Science & Business Media. This book was released on 1995-06-21 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 7th International Conference on Computer Aided Verification, CAV '95, held in Liège, Belgium in July 1995. The book contains the 31 refereed full research papers selected for presentation at CAV '95 as well as abstracts or full papers of the three invited presentations. Originally oriented towards finite-state concurrent systems, CAV now covers all styles of verification approaches and a variety of application areas. The papers included range from theoretical issues to concrete applications with a certain emphasis on verification tools and the algorithms and techniques needed for their implementations. Beyond finite-state systems, real-time systems and hybrid systems are an important part of the conference.
Book Synopsis Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications by : Olga Kosheleva
Download or read book Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications written by Olga Kosheleva and published by Springer Nature. This book was released on 2020-02-28 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.
Book Synopsis Parallel Scientific Computing by : Frédéric Magoules
Download or read book Parallel Scientific Computing written by Frédéric Magoules and published by John Wiley & Sons. This book was released on 2016-01-26 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific computing has become an indispensable tool in numerous fields, such as physics, mechanics, biology, finance and industry. For example, it enables us, thanks to efficient algorithms adapted to current computers, to simulate, without the help of models or experimentations, the deflection of beams in bending, the sound level in a theater room or a fluid flowing around an aircraft wing. This book presents the scientific computing techniques applied to parallel computing for the numerical simulation of large-scale problems; these problems result from systems modeled by partial differential equations. Computing concepts will be tackled via examples. Implementation and programming techniques resulting from the finite element method will be presented for direct solvers, iterative solvers and domain decomposition methods, along with an introduction to MPI and OpenMP.
Book Synopsis Lectures on Petri Nets I: Basic Models by : Wolfgang Reisig
Download or read book Lectures on Petri Nets I: Basic Models written by Wolfgang Reisig and published by Springer Science & Business Media. This book was released on 1998-11-04 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets II: Applications" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.
Book Synopsis Computer Aided Verification by : Kim G. Larsen
Download or read book Computer Aided Verification written by Kim G. Larsen and published by Springer Science & Business Media. This book was released on 1992-04-22 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the third International Workshop on Computer Aided Verification, CAV '91, held in Aalborg, Denmark, July 1-4, 1991. The objective of this series of workshops is to bring together researchers and practitioners interested in the development and use of methods, tools and theories for automatic verification of (finite) state systems. The workshop provides a unique opportunity for comparing the numerous verification methods and associated verification tools, and the extent to which they may be utilized in application design. The emphasis is not only on new research results but also on the application of existing results to real verification problems. The papers in the volume areorganized into sections on equivalence checking, model checking, applications, tools for process algebras, the state explosion problem, symbolic model checking, verification and transformation techniques, higher order logic, partial order approaches, hardware verification, timed specification and verification, and automata.
Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Tiziana Margaria
Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Tiziana Margaria and published by Springer. This book was released on 2003-06-29 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2001. The 36 revised full papers presented together with an invited contribution were carefully reviewed and selected from a total of 125 submissions. The papers are organized in sections on symbolic verification, infinite state systems - deduction and abstraction, application of model checking techniques, timed and probabilistic systems, hardware - design and verification, software verification, testing - techniques and tools, implementation techniques, semantics and compositional verification, logics and model checking, and ETAPS tool demonstration.
Book Synopsis Computer Aided Verification by : Ed Brinksma
Download or read book Computer Aided Verification written by Ed Brinksma and published by Springer. This book was released on 2003-08-02 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Computer Aided V- i?cation (CAV 2002), held in Copenhagen, Denmark on July 27-31, 2002. CAV 2002 was the 14th in a series of conferences dedicated to the advancement of the theory and practice of computer-assisted formal analysis methods for software and hardware systems. The conference covers the spectrum from theoretical - sults to concrete applications, with an emphasis on practical veri?cation tools, including algorithms and techniques needed for their implementation. The c- ference has traditionally drawn contributions from researchers as well as prac- tioners in both academia and industry. This year we received 94 regular paper submissions out of which 35 were selected. Each submission received an average of 4 referee reviews. In addition, the CAV program contained 11 tool presentations selected from 16 submissions. For each tool presentation, a demo was given at the conference. The large number of tool submissions and presentations testi?es to the liveliness of the ?eld and its applied ?avor.
Book Synopsis Computer Aided Verification by : Gerard Berry
Download or read book Computer Aided Verification written by Gerard Berry and published by Springer. This book was released on 2003-05-15 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Computer Aided Verification, CAV 2001, held in Paris, France in July 2001. The 33 revised full papers presented were carefully reviewed and selected from 106 regular paper submissions; also included are 13 reviewed tool presentations selected from 27 submissions. The book offers topical sections on model checking and theorem proving, automata techniques, verification core technology, BDD and decision trees, abstraction and refinement, combinations, infinite state systems, temporal logics and verification, microprocessor verification and cache coherence, SAT and applications, and timed automata.
