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******************************************************************************* INFO ******************************************************************************* Title................: Accuracy and Reliability in Scientific Computing Type.................: Ebook Reader...............: PDF Reader Size.................: 19.8 MB Torrent Hash.........: 21A316CC1E071663C8BA001CA4F285663D579E73 Posted by............: ~tqw~
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Synopsis: Approximations every where you turn, continuous functions replaced by discretized versions, infinite processes turned into finite ones, real numbers replaced by finite precision: errors are built into the mathematical fabric of scientific software and cannot be avoided, only managed. Computer scientists in academic, government, and corporate laboratories around the world explicate the nature of some of the difficulties and provide some insight into how to overcome them. They cover pitfalls in numerical computation, diagnostic tools, and technology for improving accuracy and reliability.
Table Of Contents: List of Contributors List of Figures List of Tables Preface Part I: PITFALLS IN NUMERICAL COMPUTATION. Chapter 1: What Can Go Wrong in Scientific Computing? Chapter 2: Assessment of Accuracy and Reliability Chapter 3: Approximating Integrals, Estimating Errors, and Giving the Wrong Solution for a Deceptively Easy Problem Chapter 4: An Introduction to the Quality of Computed Solutions Chapter 5: Qualitative Computing Part II: DIAGNOSTIC TOOLS. Chapter 6: PRECISE and the Quality of Reliable Numerical Software Chapter 7: Tools for the Verification of Approximate Solutions to Differential Equations Part III: TECHNOLOGY FOR IMPROVING ACCURACY AND RELIABILITY. Chapter 8: General Methods forImplementing Reliable and Correct Software Chapter 9: The Use and Implementation of Interval Data Types Chapter 10: Computer-Assisted Proofs and Self-Validating Methods Chapter 11: Hardware Assisted Algorithms Chapter 12: Issues in Accurate and Reliable Use of Parallel Computing in Numerical Programs Chapter 13: Software Reliability Engineering of Numerical Systems Bibliography Index.
Product Details: * ISBN: 0898715849 * ISBN-13: 9780898715842 * Format: Paperback, 352pp * Publisher: SIAM * Pub. Date: January 2005
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