Scientific Computing, Computer Arithmetic, and Validated Numerics

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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.

Scientific Computing and Validated Numerics

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Author :
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.

Advances in Imaging and Electron Physics

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Publisher : Elsevier
ISBN 13 : 9780080550558
Total Pages : 280 pages
Book Rating : 4.5/5 (55 download)

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Book Synopsis Advances in Imaging and Electron Physics by : Peter W. Hawkes

Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Elsevier. This book was released on 2007-08-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 9811376697
Total Pages : 469 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations by : Mitsuhiro T. Nakao

Download or read book Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations written by Mitsuhiro T. Nakao and published by Springer Nature. This book was released on 2019-11-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases, computer-assisted proofs have the remarkable advantage (compared with a “theoretical” proof) of additionally providing accurate quantitative information. The authors have been working more than a quarter century to establish methods for the verified computation of solutions for partial differential equations, mainly for nonlinear elliptic problems of the form -∆u=f(x,u,∇u) with Dirichlet boundary conditions. Here, by “verified computation” is meant a computer-assisted numerical approach for proving the existence of a solution in a close and explicit neighborhood of an approximate solution. The quantitative information provided by these techniques is also significant from the viewpoint of a posteriori error estimates for approximate solutions of the concerned partial differential equations in a mathematically rigorous sense. In this monograph, the authors give a detailed description of the verified computations and computer-assisted proofs for partial differential equations that they developed. In Part I, the methods mainly studied by the authors Nakao and Watanabe are presented. These methods are based on a finite dimensional projection and constructive a priori error estimates for finite element approximations of the Poisson equation. In Part II, the computer-assisted approaches via eigenvalue bounds developed by the author Plum are explained in detail. The main task of this method consists of establishing eigenvalue bounds for the linearization of the corresponding nonlinear problem at the computed approximate solution. Some brief remarks on other approaches are also given in Part III. Each method in Parts I and II is accompanied by appropriate numerical examples that confirm the actual usefulness of the authors’ methods. Also in some examples practical computer algorithms are supplied so that readers can easily implement the verification programs by themselves.

Computer Arithmetic and Validity

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110301792
Total Pages : 456 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Computer Arithmetic and Validity by : Ulrich Kulisch

Download or read book Computer Arithmetic and Validity written by Ulrich Kulisch and published by Walter de Gruyter. This book was released on 2013-04-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Processing and Management of Uncertainty in Knowledge-Based Systems

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Publisher : Springer Nature
ISBN 13 : 3030501434
Total Pages : 816 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Information Processing and Management of Uncertainty in Knowledge-Based Systems by : Marie-Jeanne Lesot

Download or read book Information Processing and Management of Uncertainty in Knowledge-Based Systems written by Marie-Jeanne Lesot and published by Springer Nature. This book was released on 2020-06-05 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three volume set (CCIS 1237-1239) constitutes the proceedings of the 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020, in June 2020. The conference was scheduled to take place in Lisbon, Portugal, at University of Lisbon, but due to COVID-19 pandemic it was held virtually. The 173 papers were carefully reviewed and selected from 213 submissions. The papers are organized in topical sections: homage to Enrique Ruspini; invited talks; foundations and mathematics; decision making, preferences and votes; optimization and uncertainty; games; real world applications; knowledge processing and creation; machine learning I; machine learning II; XAI; image processing; temporal data processing; text analysis and processing; fuzzy interval analysis; theoretical and applied aspects of imprecise probabilities; similarities in artificial intelligence; belief function theory and its applications; aggregation: theory and practice; aggregation: pre-aggregation functions and other generalizations of monotonicity; aggregation: aggregation of different data structures; fuzzy methods in data mining and knowledge discovery; computational intelligence for logistics and transportation problems; fuzzy implication functions; soft methods in statistics and data analysis; image understanding and explainable AI; fuzzy and generalized quantifier theory; mathematical methods towards dealing with uncertainty in applied sciences; statistical image processing and analysis, with applications in neuroimaging; interval uncertainty; discrete models and computational intelligence; current techniques to model, process and describe time series; mathematical fuzzy logic and graded reasoning models; formal concept analysis, rough sets, general operators and related topics; computational intelligence methods in information modelling, representation and processing.

Logic Programming and Automated Reasoning

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540582168
Total Pages : 364 pages
Book Rating : 4.5/5 (821 download)

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Book Synopsis Logic Programming and Automated Reasoning by : Frank Pfenning

Download or read book Logic Programming and Automated Reasoning written by Frank Pfenning and published by Springer Science & Business Media. This book was released on 1994-06-22 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 5th International Conference on Logic Programming and Automated Reasoning, held aboard the ship "Marshal Koshevoi" on the Dnieper near Kiev, Ukraine in July 1994. The LPAR conferences are held annually in the former Soviet Union and aimed at bringing together researchers interested in LP and AR. This proceedings contains the full versions of the 24 accepted papers evaluated by at least three referees ensuring a program of highest quality. The papers cover all relevant aspects of LP and AR ranging from theory to implementation and application.

Trends in Applied Intelligent Systems

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Publisher : Springer
ISBN 13 : 3642130224
Total Pages : 770 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Trends in Applied Intelligent Systems by : Nicolás García-Pedrajas

Download or read book Trends in Applied Intelligent Systems written by Nicolás García-Pedrajas and published by Springer. This book was released on 2011-01-22 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: The presentations of theinvitedspeakersandauthorsmainlyfocusedondevelopingandstudyingnew methods to cope with the problems posed by real-life applications of arti?cial intelligence.Paperspresentedinthetwentythirdconferenceintheseriescovered theories as well as applications of intelligent systems in solving complex real-life problems. We received 297 papers for the main track, selecting 119 of them with the highest quality standards. Each paper was revised by at least three members of the Program Committee.

Natural and Artificial Computation in Engineering and Medical Applications

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Publisher : Springer
ISBN 13 : 3642386229
Total Pages : 474 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Natural and Artificial Computation in Engineering and Medical Applications by : Jose Manuel Ferrandez Vicente

Download or read book Natural and Artificial Computation in Engineering and Medical Applications written by Jose Manuel Ferrandez Vicente and published by Springer. This book was released on 2013-06-03 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume-set, LNCS 7930 and LNCS 7931, constitutes the refereed proceedings of the 5th International Work-Conference on the Interplay between Natural and Artificial Computation, IWINAC 2013, held in Mallorca, Spain, in June 2013. The 92 revised full papers presented in LNCS 7930 and LNCS 7931 were carefully reviewed and selected from numerous submissions. The first part, LNCS 7930, entitled "Natural and Artificial Models in Computation and Biology”, includes all the contributions mainly related to the methodological, conceptual, formal, and experimental developments in the fields of neurophysiology and cognitive science. The second part, LNCS 7931, entitled “Natural and Artificial Computation in Engineering and Medical Applications”, contains the papers related to bioinspired programming strategies and all the contributions related to the computational solutions to engineering problems in different application domains, specially Health applications, including the CYTED “Artificial and Natural Computation for Health” (CANS) research network papers. In addition, this two volume-set reflects six interesting areas: cognitive robotics; natural computing; wetware computation; quality of life technologies; biomedical and industrial perception applications; and Web intelligence and neuroscience.

Parametric Interval Algebraic Systems

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Publisher : Springer
ISBN 13 : 3319751875
Total Pages : 191 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Parametric Interval Algebraic Systems by : Iwona Skalna

Download or read book Parametric Interval Algebraic Systems written by Iwona Skalna and published by Springer. This book was released on 2018-02-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents a framework for solving a general class of linear systems with coefficients being continuous functions of parameters varying within prescribed intervals. It also provides a comprehensive overview of the theory related to solving parametric interval linear systems and the basic properties of parametric interval matrices. In particular, it develops several new algorithms delivering sharp rigorous bounds for the solutions of such systems with full mathematical rigor. The framework employs the arithmetic of revised affine forms that enables the readers to handle dependent data. The book is intended not only for researchers interested in developing rigorous methods of numerical linear algebra, but also for engineers dealing with problems involving uncertain data. The theory discussed is also useful in various other fields of numerical analysis, in computer graphics, economics, computational geometry, computer-aided design, computer-assisted proofs, computer graphics, control theory, solving constraint satisfaction problems, and global optimization.

Computer Arithmetic and Enclosure Methods

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Publisher : North Holland
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Computer Arithmetic and Enclosure Methods by : Lidiya Atanassova

Download or read book Computer Arithmetic and Enclosure Methods written by Lidiya Atanassova and published by North Holland. This book was released on 1992 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists concerned with the interaction between computer arithmetic, programming languages and scientific computing will be particularly interested in this book. It focuses on papers presented at the conference and highlights the increasing impact of SCAN-91 in this area. The volume contains original research and expository articles on the field of interaction between computer arithmetic and its realization in programming languages and the construction and investigation of numerical algorithms for computing guaranteed error-bounds for the solution of various problems in applied mathematics and engineering. Main subjects are: software tools for enclosure algorithms and inclusion methods with the help of interval arithmetic, in particular for the numerical solution of differential equations.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1804 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interval Computations

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Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Interval Computations by :

Download or read book Interval Computations written by and published by . This book was released on 1994 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Software Engineering and Formal Methods. SEFM 2020 Collocated Workshops

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Publisher : Springer Nature
ISBN 13 : 3030672204
Total Pages : 344 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Software Engineering and Formal Methods. SEFM 2020 Collocated Workshops by : Loek Cleophas

Download or read book Software Engineering and Formal Methods. SEFM 2020 Collocated Workshops written by Loek Cleophas and published by Springer Nature. This book was released on 2021-01-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the revised selected papers from the three workshops collocated with the 18th International Conference on Software Engineering and Formal Methods, SEFM 2020, held in Amsterdam, The Netherlands, in September 2020. The 15 full papers presented together with 8 short papers in this volume were carefully reviewed and selected from a total of 35 submissions. The contributions that are collected in this volume have been selected from the presentations at the following workshops: ASYDE 2020: Second International Workshop on Automated and Verifiable Software System Development; CIFMA 2020: Second International Workshop on Cognition: Interdisciplinary Foundations, Models and Applications; and CoSim-CPS 2020: Fourth International Workshop on Formal Co-Simulation of Cyber-Physical Systems. Due to the Corona pandemic this event was held virtually.

Algorithms and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3540669167
Total Pages : 461 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Algorithms and Computation by : Alok Aggarwal

Download or read book Algorithms and Computation written by Alok Aggarwal and published by Springer Science & Business Media. This book was released on 1999-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Symposium on Algorithms and Computation, ISAAC'99, held in Chennai, India, in December 1999. The 40 revised full papers presented together with four invited contributions were carefully reviewed and selected from 71 submissions. Among the topics covered are data structures, parallel and distributed computing, approximation algorithms, computational intelligence, online algorithms, complexity theory, graph algorithms, computational geometry, and algorithms in practice.

Algorithms and Computations

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Publisher : Springer
ISBN 13 : 3540466320
Total Pages : 461 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algorithms and Computations by : Alok Aggarwal

Download or read book Algorithms and Computations written by Alok Aggarwal and published by Springer. This book was released on 2003-06-26 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Symposium on Algorithms and Computation, ISAAC'99, held in Chennai, India, in December 1999. The 40 revised full papers presented together with four invited contributions were carefully reviewed and selected from 71 submissions. Among the topics covered are data structures, parallel and distributed computing, approximation algorithms, computational intelligence, online algorithms, complexity theory, graph algorithms, computational geometry, and algorithms in practice.

Index of Conference Proceedings

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Publisher :
ISBN 13 :
Total Pages : 698 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Index of Conference Proceedings by : British Library. Document Supply Centre

Download or read book Index of Conference Proceedings written by British Library. Document Supply Centre and published by . This book was released on 2002 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: