Validated Numerics
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Validated Numerics
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Author : Warwick Tucker
language : en
Publisher: Princeton University Press
Release Date : 2023-06-06
Validated Numerics written by Warwick Tucker and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-06 with Computers categories.
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 Validated Numerics Interval Methods
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Author : Walter Krämer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Scientific Computing Validated Numerics Interval Methods written by Walter Krämer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Computers categories.
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
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Author : Marco Nehmeier
language : en
Publisher: Springer
Release Date : 2016-04-08
Scientific Computing Computer Arithmetic And Validated Numerics written by Marco Nehmeier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-08 with Computers categories.
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.
Scientific Computing And Validated Numerics
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Author : G. Alefeld
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1996
Scientific Computing And Validated Numerics written by G. Alefeld and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
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.
Validation Numerics
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Author : R. Albrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Validation Numerics written by R. Albrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Validation Numerics
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Author : R. Albrecht
language : en
Publisher: Springer
Release Date : 1993-05-11
Validation Numerics written by R. Albrecht and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-05-11 with Mathematics categories.
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.
2006 Scientific Computing Arithmetic And Validated Numerics
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Author : IEEE Staff
language : en
Publisher: IEEE
Release Date : 2009-01
2006 Scientific Computing Arithmetic And Validated Numerics written by IEEE Staff and has been published by IEEE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01 with Computers categories.
Scientific Computing Computer Arithmetic And Validated Numerics Scan 2004
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Author : Mitsuhiro T. Nakao
language : en
Publisher:
Release Date : 2006
Scientific Computing Computer Arithmetic And Validated Numerics Scan 2004 written by Mitsuhiro T. Nakao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Special Issue On Scientific Computing Computer Arithmetic And Validated Numerics
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Author : G. Alefeld
language : en
Publisher:
Release Date : 2007
Special Issue On Scientific Computing Computer Arithmetic And Validated Numerics written by G. Alefeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic data processing categories.
Special Issue Scientific Computing Computer Arithmetic And Validated Numerics
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Author : G. Alefeld
language : en
Publisher:
Release Date : 2007
Special Issue Scientific Computing Computer Arithmetic And Validated Numerics written by G. Alefeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.