Scientific Computing Validated Numerics Interval Methods

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Scientific Computing, Validated Numerics, Interval Methods

Author : Walter Krämer
Publisher : Springer Science & Business Media
ISBN 13 : 1475764847
Total Pages : 385 pages
Book Rating : 4.4/5 (757 download)

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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.

Scientific Computing, Computer Arithmetic, and Validated Numerics

Author : Marco Nehmeier
Publisher : Springer
ISBN 13 : 3319317695
Total Pages : 291 pages
Book Rating : 4.3/5 (193 download)

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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.

Validated Numerics

Author : Warwick Tucker
Publisher : Princeton University Press
ISBN 13 : 069124765X
Total Pages : 152 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Validated Numerics by : Warwick Tucker

Download or read book Validated Numerics written by Warwick Tucker and published by Princeton University Press. This book was released on 2023-06-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained primer on validated numerics This textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on the theory of set-valued analysis, a new suite of numerical methods is developed, producing efficient and reliable solvers for numerous problems in nonlinear analysis. Validated numerics yields rigorous computations that can find all possible solutions to a problem while taking into account all possible sources of error—fast, and with guaranteed accuracy. Validated Numerics offers a self-contained primer on the subject, guiding readers from the basics to more advanced concepts and techniques. This book is an essential resource for those entering this fast-developing field, and it is also the ideal textbook for graduate students and advanced undergraduates needing an accessible introduction to the subject. Validated Numerics features many examples, exercises, and computer labs using MATLAB/C++, as well as detailed appendixes and an extensive bibliography for further reading. Provides a comprehensive, self-contained introduction to validated numerics Requires no advanced mathematics or programming skills Features many examples, exercises, and computer labs Includes code snippets that illustrate implementation Suitable as a textbook for graduate students and advanced undergraduates

Scientific Computing and Validated Numerics

Author : G. Alefeld
Publisher : De Gruyter Akademie Forschung
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Scientific Computing and Validated Numerics by : G. Alefeld

Download or read book Scientific Computing and Validated Numerics written by G. Alefeld and published by De Gruyter Akademie Forschung. This book was released on 1996 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics SCAN is held biannually, the fourth conference took place in Wuppertal 1995. This volume contains contributions from outstanding research specialists based on their presentations at SCAN-95. It covers all aspects of scientific computing with validation, starting with the latest developments in the design of floating point units together with algorithms for floating point operations and elementary function evaluations with maximum accuracy. The book continues by treating scientific computing methods for many areas of applied mathematics such as numerical linear algebra, nonlinear equations, global optimization, ordinary and partial differential equations and dynamical systems. Some computer science aspects like complexity are also considered as are examples where validation methods have successfully be used in applications from the engineering sciences.

Validated Numerics

Author : Warwick Tucker
Publisher : Princeton University Press
ISBN 13 : 1400838975
Total Pages : 153 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Validated Numerics by : Warwick Tucker

Download or read book Validated Numerics written by Warwick Tucker and published by Princeton University Press. This book was released on 2011-07-05 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained primer on validated numerics This textbook provides a comprehensive introduction to the theory and practice of validated numerics, an emerging new field that combines the strengths of scientific computing and pure mathematics. In numerous fields ranging from pharmaceutics and engineering to weather prediction and robotics, fast and precise computations are essential. Based on the theory of set-valued analysis, a new suite of numerical methods is developed, producing efficient and reliable solvers for numerous problems in nonlinear analysis. Validated numerics yields rigorous computations that can find all possible solutions to a problem while taking into account all possible sources of error—fast, and with guaranteed accuracy. Validated Numerics offers a self-contained primer on the subject, guiding readers from the basics to more advanced concepts and techniques. This book is an essential resource for those entering this fast-developing field, and it is also the ideal textbook for graduate students and advanced undergraduates needing an accessible introduction to the subject. Validated Numerics features many examples, exercises, and computer labs using MATLAB/C++, as well as detailed appendixes and an extensive bibliography for further reading. Provides a comprehensive, self-contained introduction to validated numerics Requires no advanced mathematics or programming skills Features many examples, exercises, and computer labs Includes code snippets that illustrate implementation Suitable as a textbook for graduate students and advanced undergraduates

Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems

Author : Bartłomiej Jacek Kubica
Publisher : Springer
ISBN 13 : 3030137953
Total Pages : 164 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems by : Bartłomiej Jacek Kubica

Download or read book Interval Methods for Solving Nonlinear Constraint Satisfaction, Optimization and Similar Problems written by Bartłomiej Jacek Kubica and published by Springer. This book was released on 2019-03-08 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent research on interval methods for solving nonlinear constraint satisfaction, optimization and similar problems. Further, it presents a comprehensive survey of applications in various branches of robotics, artificial intelligence systems, economics, control theory, dynamical systems theory, and others. Three appendices, on the notation, representation of numbers used as intervals’ endpoints, and sample implementations of the interval data type in several programming languages, round out the coverage.

Large-Scale Scientific Computing

Author : Ivan Lirkov
Publisher : Springer Science & Business Media
ISBN 13 : 3540319948
Total Pages : 701 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Large-Scale Scientific Computing by : Ivan Lirkov

Download or read book Large-Scale Scientific Computing written by Ivan Lirkov and published by Springer Science & Business Media. This book was released on 2006-02-14 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.

Numerical Methods and Applications

Author : Lirkov Ivan Dimov
Publisher : Springer
ISBN 13 : 3642184669
Total Pages : 524 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Methods and Applications by : Lirkov Ivan Dimov

Download or read book Numerical Methods and Applications written by Lirkov Ivan Dimov and published by Springer. This book was released on 2011-01-27 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited papers were carefully reviewed and selected from numerous submissions for inclusion in this book. The papers are organized in topical sections on Monte Carlo and quasi-Monte Carlo methods, environmental modeling, grid computing and applications, metaheuristics for optimization problems, and modeling and simulation of electrochemical processes.

Numerical Validation in Current Hardware Architectures

Author : Annie A.M. Cuyt
Publisher : Springer
ISBN 13 : 3642015913
Total Pages : 272 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Numerical Validation in Current Hardware Architectures by : Annie A.M. Cuyt

Download or read book Numerical Validation in Current Hardware Architectures written by Annie A.M. Cuyt and published by Springer. This book was released on 2009-04-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 08021 on Numerical Validation in Current Hardware Architectures held at Dagstuhl Castle, Germany, in January 2008. The 16 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification.

Numerical Methods and Applications

Author : Todor Boyanov
Publisher : Springer Science & Business Media
ISBN 13 : 3540709401
Total Pages : 741 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods and Applications by : Todor Boyanov

Download or read book Numerical Methods and Applications written by Todor Boyanov and published by Springer Science & Business Media. This book was released on 2007-02-20 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Numerical Methods and Applications, NMA 2006, held in Borovets, Bulgaria, in August 2006. The 84 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 111 submissions. The papers are organized in topical sections on numerical methods for hyperbolic problems, robust preconditioning solution methods, Monte Carlo and quasi-Monte Carlo for diverse applications, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, large-scale computations in environmental modelling, and contributed talks.

Computational Science - ICCS 2004

Author : Marian Bubak
Publisher : Springer
ISBN 13 : 3540246878
Total Pages : 810 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Computational Science - ICCS 2004 by : Marian Bubak

Download or read book Computational Science - ICCS 2004 written by Marian Bubak and published by Springer. This book was released on 2004-05-13 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Computational Science (ICCS 2004) held in Krak ́ ow, Poland, June 6–9, 2004, was a follow-up to the highly successful ICCS 2003 held at two locations, in Melbourne, Australia and St. Petersburg, Russia; ICCS 2002 in Amsterdam, The Netherlands; and ICCS 2001 in San Francisco, USA. As computational science is still evolving in its quest for subjects of inves- gation and e?cient methods, ICCS 2004 was devised as a forum for scientists from mathematics and computer science, as the basic computing disciplines and application areas, interested in advanced computational methods for physics, chemistry, life sciences, engineering, arts and humanities, as well as computer system vendors and software developers. The main objective of this conference was to discuss problems and solutions in all areas, to identify new issues, to shape future directions of research, and to help users apply various advanced computational techniques. The event harvested recent developments in com- tationalgridsandnextgenerationcomputingsystems,tools,advancednumerical methods, data-driven systems, and novel application ?elds, such as complex - stems, ?nance, econo-physics and population evolution.

Parallel Processing and Applied Mathematics, Part II

Author : Roman Wyrzykowski
Publisher : Springer
ISBN 13 : 3642144039
Total Pages : 620 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Parallel Processing and Applied Mathematics, Part II by : Roman Wyrzykowski

Download or read book Parallel Processing and Applied Mathematics, Part II written by Roman Wyrzykowski and published by Springer. This book was released on 2010-07-07 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.

Granular, Fuzzy, and Soft Computing

Author : Tsau-Young Lin
Publisher : Springer Nature
ISBN 13 : 1071626280
Total Pages : 936 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Granular, Fuzzy, and Soft Computing by : Tsau-Young Lin

Download or read book Granular, Fuzzy, and Soft Computing written by Tsau-Young Lin and published by Springer Nature. This book was released on 2023-03-29 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the Encyclopedia of Complexity and Systems Science (ECSS, 2009) presented a comprehensive overview of granular computing (GrC) broadly divided into several categories: Granular computing from rough set theory, Granular Computing in Database Theory, Granular Computing in Social Networks, Granular Computing and Fuzzy Set Theory, Grid/Cloud Computing, as well as general issues in granular computing. In 2011, the formal theory of GrC was established, providing an adequate infrastructure to support revolutionary new approaches to computer/data science, including the challenges presented by so-called big data. For this volume of ECSS, Second Edition, many entries have been updated to capture these new developments, together with new chapters on such topics as data clustering, outliers in data mining, qualitative fuzzy sets, and information flow analysis for security applications. Granulations can be seen as a natural and ancient methodology deeply rooted in the human mind. Many daily "things" are routinely granulated into sub "things": The topography of earth is granulated into hills, plateaus, etc., space and time are granulated into infinitesimal granules, and a circle is granulated into polygons of infinitesimal sides. Such granules led to the invention of calculus, topology and non-standard analysis. Formalization of general granulation was difficult but, as shown in this volume, great progress has been made in combing discrete and continuous mathematics under one roof for a broad range of applications in data science.

Rigorous Global Search: Continuous Problems

Author : R. Baker Kearfott
Publisher : Springer Science & Business Media
ISBN 13 : 1475724950
Total Pages : 275 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Rigorous Global Search: Continuous Problems by : R. Baker Kearfott

Download or read book Rigorous Global Search: Continuous Problems written by R. Baker Kearfott and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology accessible to those who most needed it or could most use it. It is meant to be a self-contained introduction, a reference for the techniques, and a guide to the literature for the underlying theory. It contains pointers to fertile areas for future research. It also serves as introductory documentation for a Fortran 90 software package for nonlinear systems and global optimization. The subject of the monograph is deterministic, automatically verified or r- orous methods. In such methods, directed rounding and computational fix- point theory are combined with exhaustive search (branch and bound) te- niques. Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference. Kno- edge of calculus, linear algebra, and elementary numerical analysis is assumed.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

International Conference on Computing and Information Technologies

Author : George Antoniou
Publisher : World Scientific
ISBN 13 : 9810247591
Total Pages : 497 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis International Conference on Computing and Information Technologies by : George Antoniou

Download or read book International Conference on Computing and Information Technologies written by George Antoniou and published by World Scientific. This book was released on 2001 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a balanced presentation of the latest techniques, algorithms and applications in computer science and engineering. The papers, written by eminent researchers in their fields, provide a vehicle for new research and development.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Computing And Information Technologies: Exploring Emerging Technologies, Procs Of The Intl Conf

Author : George Antoniou
Publisher : World Scientific
ISBN 13 : 9814490059
Total Pages : 497 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Computing And Information Technologies: Exploring Emerging Technologies, Procs Of The Intl Conf by : George Antoniou

Download or read book Computing And Information Technologies: Exploring Emerging Technologies, Procs Of The Intl Conf written by George Antoniou and published by World Scientific. This book was released on 2001-08-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a balanced presentation of the latest techniques, algorithms and applications in computer science and engineering. The papers, written by eminent researchers in their fields, provide a vehicle for new research and development.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)