Finite Precision Number Systems And Arithmetic
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Finite Precision Number Systems And Arithmetic
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Author : Peter Kornerup
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-30
Finite Precision Number Systems And Arithmetic written by Peter Kornerup and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-30 with Mathematics categories.
Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
Fundamentals Of Numerical Computation Computer Oriented Numerical Analysis
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Author : G. Alefeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fundamentals Of Numerical Computation Computer Oriented Numerical Analysis written by G. Alefeld 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.
Embedded Systems Design With Special Arithmetic And Number Systems
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Author : Amir Sabbagh Molahosseini
language : en
Publisher: Springer
Release Date : 2017-03-20
Embedded Systems Design With Special Arithmetic And Number Systems written by Amir Sabbagh Molahosseini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Technology & Engineering categories.
This book introduces readers to alternative approaches to designing efficient embedded systems using unconventional number systems. The authors describe various systems that can be used for designing efficient embedded and application-specific processors, such as Residue Number System, Logarithmic Number System, Redundant Binary Number System Double-Base Number System, Decimal Floating Point Number System and Continuous Valued Number System. Readers will learn the strategies and trade-offs of using unconventional number systems in application-specific processors and be able to apply and design appropriate arithmetic operations from these number systems to boost the performance of digital systems.
Ergodic Control Of Diffusion Processes
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Author : Ari Arapostathis
language : en
Publisher: Cambridge University Press
Release Date : 2012
Ergodic Control Of Diffusion Processes written by Ari Arapostathis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The first comprehensive account of controlled diffusions with a focus on ergodic or 'long run average' control.
Real Analysis Through Modern Infinitesimals
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Author : Nader Vakil
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-17
Real Analysis Through Modern Infinitesimals written by Nader Vakil and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-17 with Mathematics categories.
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Matrices And Graphs In Geometry
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Author : Miroslav Fiedler
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03
Matrices And Graphs In Geometry written by Miroslav Fiedler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-03 with Mathematics categories.
Demonstrates the close relationship between matrix theory and elementary Euclidean geometry, with emphasis on using simple graph-theoretical notions.
Computational Science Iccs 2024
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Author : Leonardo Franco
language : en
Publisher: Springer Nature
Release Date : 2024-06-29
Computational Science Iccs 2024 written by Leonardo Franco and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-29 with Computers categories.
The 7-volume set LNCS 14832 – 14838 constitutes the proceedings of the 24th International Conference on Computational Science, ICCS 2024, which took place in Malaga, Spain, during July 2–4, 2024. The 155 full papers and 70 short papers included in these proceedings were carefully reviewed and selected from 430 submissions. They were organized in topical sections as follows: Part I: ICCS 2024 Main Track Full Papers; Part II: ICCS 2024 Main Track Full Papers; Part III: ICCS 2024 Main Track Short Papers; Advances in High-Performance Computational Earth Sciences: Numerical Methods, Frameworks and Applications; Artificial Intelligence and High-Performance Computing for Advanced Simulations; Part IV: Biomedical and Bioinformatics Challenges for Computer Science; Computational Health; Part V: Computational Optimization, Modelling, and Simulation; Generative AI and Large Language Models (LLMs) in Advancing Computational Medicine; Machine Learning and Data Assimilation for Dynamical Systems; Multiscale Modelling and Simulation; Part VI: Network Models and Analysis: From Foundations to Artificial Intelligence; Numerical Algorithms and Computer Arithmetic for Computational Science; Quantum Computing; Part VII: Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks, and Artificial Intelligence; Solving Problems with Uncertainties; Teaching Computational Science
Accuracy And Stability Of Numerical Algorithms
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Author : Nicholas J. Higham
language : en
Publisher: SIAM
Release Date : 2002-01-01
Accuracy And Stability Of Numerical Algorithms written by Nicholas J. Higham and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Hadamard Expansions And Hyperasymptotic Evaluation
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Author : R. B. Paris
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-24
Hadamard Expansions And Hyperasymptotic Evaluation written by R. B. Paris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-24 with Mathematics categories.
Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents.