A New Approach to Scientific Computation
eBook - PDF

A New Approach to Scientific Computation

  1. 400 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

A New Approach to Scientific Computation

Book details
Table of contents
Citations

About This Book

A New Approach to Scientific Computation is a collection of papers delivered at a symposium held at the IBM Thomas J. Watson Research Center on August 3, 1982. The symposium provided a forum for reviewing various aspects of an approach to scientific computation based on a systematic theory of computer arithmetic. Computer demonstration packages for standard problems of numerical mathematics are considered. Comprised of 12 chapters, this volume begins by summarizing an extensive research activity in scientific computation as well as the experience gained through various implementations of a new approach to arithmetic on diverse processors, including even microprocessors. A complete listing of the spaces that occur in numerical computations is presented, followed by a discussion of aspects of traditional computer arithmetic and a new definition of computer arithmetic. The properties of semimorphisms are also considered. Subsequent chapters focus on potential applications of programming packages to standard problems in numerical analysis implemented on a Z80 based minicomputer, with a PASCAL extension called PASCAL-SC as the programming language; methods for solving algebraic problems with high accuracy; and the use of a computer with floating-point arithmetic to obtain guaranteed sharp bounds for the value of an arithmetic expression. An extension of FORTRAN which satisfies contemporary requirements of numerical computation is also described. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes, you can access A New Approach to Scientific Computation by Ulrich W. Kulisch,Willard L. Miranker in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483272047
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. A New Approach to Scientific Computation
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Contributors
  7. Preface
  8. Acknowledgments
  9. CHAPTER 1. A NEW ARITHMETIC FOR SCIENTIFIC COMPUTATION
  10. CHAPTER 2. COMPUTER DEMONSTRATION PACKAGES FOR STANDARD PROBLEMS OF NUMERICAL MATHEMATICS
  11. CHAPTER 3. SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY
  12. CHAPTER 4. EVALUATION OF ARITHMETIC EXPRESSION SWITH MAXIMUM ACCURACY
  13. CHAPTER 5. SOLVING FUNCTION SPACE PROBLEMS WITH GUARANTEED CLOSE BOUNDS
  14. CHAPTER 6. ULTRA-ARITHMETIC: THE DIGITAL COMPUTER SET IN FUNCTION SPACE
  15. CHAPTER 7. A FORTRAN EXTENSION FOR SCIENTIFIC COMPUTATION
  16. CHAPTER 8. AN INTRODUCTION TO MATRIX PASCAL:A PASCAL EXTENSION FOR SCIENTIFIC COMPUTATION
  17. CHAPTER 9. REALIZATION OF AN OPTIMAL COMPUTER ARITHMETIC
  18. CHAPTER 10. FEATURES OF A HARDWARE IMPLEMENTATION OF AN OPTIMAL ARITHMETIC
  19. CHAPTER 11. DIFFERENTIATION AND GENERATION OF TAYLOR COEFFICIENTS IN PASCAL-SC
  20. CHAPTER 12. MATRIX PASCALt