Numerical Validation In Current Hardware Architectures
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| Author | : Annie A.M. Cuyt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 272 |
| Release | : 2009-04-24 |
| Genre | : Computers |
| ISBN | : 3642015905 |
The major emphasis of the Dagstuhl Seminar on “Numerical Validation in C- rent Hardware Architectures” lay on numerical validation in current hardware architecturesand softwareenvironments. The generalidea wasto bring together experts who are concerned with computer arithmetic in systems with actual processor architectures and scientists who develop, use, and need techniques from veri?ed computation in their applications. Topics of the seminar therefore included: – The ongoing revision of the IEEE 754/854 standard for ?oating-point ari- metic – Feasible ways to implement multiple precision (multiword) arithmetic and to compute the actual precision at run-time according to the needs of input data – The achievement of a similar behavior of ?xed-point, ?oating-point and - terval arithmetic across language compliant implementations – The design of robust and e?cient numerical programsportable from diverse computers to those that adhere to the IEEE standard – The development and propagation of validated special-purpose software in di?erent application areas – Error analysis in several contexts – Certi?cation of numerical programs, veri?cation and validation assessment Computer arithmetic plays an important role at the hardware and software level, when microprocessors, embedded systems, or grids are designed. The re- ability of numerical softwarestrongly depends on the compliance with the cor- sponding ?oating-point norms. Standard CISC processors follow the 1985 IEEE norm 754, which is currently under revision, but the new highly performing CELL processor is not fully IEEE compliant.
| Author | : Ulrich Kulisch |
| Publisher | : Walter de Gruyter |
| Total Pages | : 456 |
| Release | : 2013-04-30 |
| Genre | : Mathematics |
| ISBN | : 3110301792 |
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.
| Author | : Inglese, Carlo |
| Publisher | : IGI Global |
| Total Pages | : 505 |
| Release | : 2018-11-02 |
| Genre | : Architecture |
| ISBN | : 1522575561 |
Cultural heritage identifies and preserves past achievements for the benefit of future generations. Examining the extent to which heritage preservation is feasible in an era governed by modernism and globalization is essential for both regional development and cultural conservation. Conservation, Restoration, and Analysis of Architectural and Archaeological Heritage provides innovative insights into digital technologies that have produced important methodological changes in the documentation, analysis, and conservation of cultural heritage. The content within this publication represents the work of digital restoration, inclusive communication, and reality-based representation. It is a vital reference source for software developers, sociologists, policymakers, tourism managers, and academicians seeking coverage on digital technologies and data processing in cultural heritage.
| Author | : Komei Fukuda |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2010-08-30 |
| Genre | : Computers |
| ISBN | : 3642155812 |
The ICMS Developer's Meeting is an international congress for which the main theme is mathematical software. The 2010 meeting was the third of a series of meetings of similar theme, the ?rst being held in Beijing, China in 2002,and the second in Castro-Urdiales, Spain in 2006. The ?eld of mathematics has numerous branches, and in each branch we ?nd that algorithms, and also implementations and applications of software s- tems, are studied. Researchers who endeavor to make such studies also have international meetings within their speci'c branches of mathematics, and these meetings have made signi'cant contributions to the ?elds in which they lie. The ICMS (International Congresseson Mathematical Software), on the other hand, is a general (not branch speci'c) meeting on mathematical software, which is held every four years, and is a rare opportunity for developers of mathematical softwarefrom di'erent branchesof mathematics, as well as mathematicians who are interested in mathematical software, to gather together.
| Author | : Feng Xu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 421 |
| Release | : 2011-05-30 |
| Genre | : Technology & Engineering |
| ISBN | : 3642132022 |
"Introduction to Skin Biothermomechanics and Thermal Pain" introduces the study of coupled bio-thermo-mechanical and neural behavior of skin tissue in response to thermal and mechanical loads. The research in this book focuses on the theoretical modeling and experimental investigation of heated skin tissue in order to provide a predictive framework for thermal therapies of diseased tissue in clinics. Furthermore, by developing solution tools, it focuses on changes in treatment parameters leading to more effective therapies. The book is intended for researchers and scientists in Bioengineering, Heat Transfer, Mechanics, Biology and Neurophysiology, as well as clinicians. Dr. Feng Xu is a research fellow at Harvard Medical School, Boston, MA, USA. Dr. Tianjian Lu is a professor at the School of Aerospace, Xi'an Jiaotong University, Xi'an, China. Dr. Xu and Dr. Lu are also affiliated with Biomedical Engineering and Biomechanics Center at Xi'an Jiaotong University, Xi'an, China.
| Author | : Andreas Rauh |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 356 |
| Release | : 2011-06-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642159567 |
To describe the true behavior of most real-world systems with sufficient accuracy, engineers have to overcome difficulties arising from their lack of knowledge about certain parts of a process or from the impossibility of characterizing it with absolute certainty. Depending on the application at hand, uncertainties in modeling and measurements can be represented in different ways. For example, bounded uncertainties can be described by intervals, affine forms or general polynomial enclosures such as Taylor models, whereas stochastic uncertainties can be characterized in the form of a distribution described, for example, by the mean value, the standard deviation and higher-order moments. The goal of this Special Volume on Modeling, Design, and Simulation of Systems with Uncertainties is to cover modern methods for dealing with the challenges presented by imprecise or unavailable information. All contributions tackle the topic from the point of view of control, state and parameter estimation, optimization and simulation. Thematically, this volume can be divided into two parts. In the first we present works highlighting the theoretic background and current research on algorithmic approaches in the field of uncertainty handling, together with their reliable software implementation. The second part is concerned with real-life application scenarios from various areas including but not limited to mechatronics, robotics, and biomedical engineering.
| Author | : Johannes Brügmann |
| Publisher | : Logos Verlag Berlin GmbH |
| Total Pages | : 242 |
| Release | : 2015-11-16 |
| Genre | : Computers |
| ISBN | : 3832541330 |
This thesis presents the foundations, the initial state, and the progress made in modelling and implementing a real-world and real-time online microscopic traffic simulation system for highway traffic. To successfully model and implement such a simulation system, this thesis recommends the use of a number of formal methods applied at the right places. As part of the recommendation, this thesis proposes a microscopic traffic simulation system. To explore the feasibility and the potential of the recommended methods, it observes and examines the proposed system from multiple views and under various different aspects. As part of the examination, this thesis provides a (semi-)formal specification, a model implementation, an implementation of a productive system, and the benefits that result from validating such a system. The results and any proper application of them have the potential to increase the reliability and the trustworthiness for any future implementation of the proposed simulation system. The presented results additionally motivate to apply the proposed approach to similar simulation systems. The thesis concludes the presentation of the results with some considerations for future implementations.
| Author | : Klimis Ntalianis |
| Publisher | : Springer |
| Total Pages | : 290 |
| Release | : 2017-07-20 |
| Genre | : Technology & Engineering |
| ISBN | : 3319539345 |
This book reports on advanced theories and methods in three related fields of research: applied physics, system science and computers. It is organized in two main parts, the first of which covers applied physics topics, including lasers and accelerators; condensed matter, soft matter and materials science; nanoscience and quantum engineering; atomic, molecular, optical and plasma physics; as well as nuclear and high-energy particle physics. It also addresses astrophysics, gravitation, earth and environmental science, as well as medical and biological physics. The second part focuses on advances in system science and computers, exploring automatic circuit control, power systems, computer communication, fluid mechanics, simulation and modeling, software engineering, data structures and applications of artificial intelligence among other areas. Offering a collection of contributions presented at the 1st International Conference on Applied Physics, System Science and Computers (APSAC 2016), the book bridges the gap between applied physics and electrical engineering. It not only to presents new methods, but also promotes collaborations between different communities working on related topics at the interface between physics and engineering, with a special focus on communication, data modeling and visualization, quantum information, applied mechanics as well as bio and geophysics.
| Author | : Hend Dawood |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 128 |
| Release | : 2011-10-07 |
| Genre | : Mathematics |
| ISBN | : 3846501549 |
Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The idea of calculating with intervals is not completely new in mathematics: the concept has been known since Archimedes, who used guaranteed lower and upper bounds to compute his constant Pi. Interval arithmetic is now a broad field in which rigorous mathematics is associated with scientific computing. This connection makes it possible to solve uncertainty problems that cannot be efficiently solved by floating-point arithmetic. Today, application areas of interval methods include electrical engineering, control theory, remote sensing, experimental and computational physics, chaotic systems, celestial mechanics, signal processing, computer graphics, robotics, and computer-assisted proofs. The purpose of this book is to be a concise but informative introduction to the theories of interval arithmetic as well as to some of their computational and scientific applications. Editorial Reviews "This new book by Hend Dawood is a fresh introduction to some of the basics of interval computation. It stops short of discussing the more complicated subdivision methods for converging to ranges of values, however it provides a bit of perspective about complex interval arithmetic, constraint intervals, and modal intervals, and it does go into the design of hardware operations for interval arithmetic, which is something still to be done by computer manufacturers." - Ramon E. Moore, (The Founder of Interval Computations) Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A. "A popular math-oriented introduction to interval computations and its applications. This short book contains an explanation of the need for interval computations, a brief history of interval computations, and main interval computation techniques. It also provides an impressive list of main practical applications of interval techniques." - Vladik Kreinovich, (International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems) Professor of Computer Science, University of Texas at El Paso, El Paso, Texas, U.S.A. "I am delighted to see one more Egyptian citizen re-entering the field of interval mathematics invented in this very country thousands years ago." - Marek W. Gutowski, Institute of Physics, Polish Academy of Sciences, Warszawa, Poland
| Author | : Bernhard Steffen |
| Publisher | : Springer |
| Total Pages | : 249 |
| Release | : 2018-03-20 |
| Genre | : Computers |
| ISBN | : 3319683977 |
The books in this trilogy capture the foundational core of advanced informatics. The authors make the foundations accessible, enabling students to become effective problem solvers. This first volume establishes the inductive approach as a fundamental principle for system and domain analysis. After a brief introduction to the elementary mathematical structures, such as sets, propositional logic, relations, and functions, the authors focus on the separation between syntax (representation) and semantics (meaning), and on the advantages of the consistent and persistent use of inductive definitions. They identify compositionality as a feature that not only acts as a foundation for algebraic proofs but also as a key for more general scalability of modeling and analysis. A core principle throughout is invariance, which the authors consider a key for the mastery of change, whether in the form of extensions, transformations, or abstractions. This textbook is suitable for undergraduate and graduate courses in computer science and for self-study. Most chapters contain exercises and the content has been class-tested over many years in various universities.
