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|a Symposium on a New Approach to Scientific Computation
|d (1982 :
|c IBM Thomas J. Watson Research Center)
|
| 245 |
1 |
2 |
|a A new approach to scientific computation /
|c edited by Ulrich W. Kulisch, Willard L. Miranker.
|
| 260 |
|
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|a New York :
|b Academic Press,
|c 1983.
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| 300 |
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|a 1 online resource (xv, 384 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
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| 347 |
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|a text file
|2 rdaft
|0 http://rdaregistry.info/termList/fileType/1002.
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| 490 |
1 |
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|a Notes and reports in computer science and applied mathematics ;
|v 7
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| 500 |
|
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|a "Sponsored by IBM"--Title page verso
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| 504 |
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|a Includes bibliographical references.
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| 538 |
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
|
| 583 |
1 |
|
|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|5 MiAaHDL
|2 pda
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0 |
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|a Print version record.
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| 505 |
0 |
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|a Front Cover; A New Approach to Scientific Computation; Copyright Page; Dedication; Table of Contents; Contributors; Preface; Acknowledgments; CHAPTER 1. A NEW ARITHMETIC FOR SCIENTIFIC COMPUTATION; 1. INTRODUCTION; 2. THE SPACES OF NUMERICAL COMPUTATIONS; 3. TRADITIONAL DEFINITION OF COMPUTER ARITHMETIC: THE VERTICAL METHOD; 4. THE NEW DEFINITION OF COMPUTER ARITHMETIC: THE HORIZONTAL METHOD; 5. COMPUTER ARITHMETIC AND PROGRAMMING LANGUAGES; 6. REALIZATION AND APPLICATIONS; REFERENCES; CHAPTER 2. COMPUTER DEMONSTRATION PACKAGES FOR STANDARD PROBLEMS OF NUMERICAL MATHEMATICS
|
| 505 |
8 |
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|a Language extension PASCAL-SCComputing inclusions -- old and new; Precise dot product; Linear Systems; Inversion of a matrix; Eigenproblems; Rounding error and cancellation; Evaluation of a polynomial; Zero of a polynomial; Polynomial package; Arithmetic expressions; Systems of non-linear equations; Differential equations; CHAPTER 3. SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY; INTRODUCTION; 1. COMPUTER ARITHMETIC; 2. LINEAR SYSTEMS; 3. OVER- AND UNDERDETERMINED LINEAR SYSTEMS; 4. LINEAR SYSTEMS WITH BAND MATRICES; 5. SPARSE LINEAR SYSTEMS; 6. MATRIX INVERSION; 7. NON-LINEAR SYSTEMS
|
| 505 |
8 |
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|a 8. THE ALGEBRAIC EIGENVALUE PROBLEM9. REAL AND COMPLEX ZEROS OF POLYNOMIALS; 10. LINEAR, QUADRATIC AND CONVEX PROGRAMMING; 11. ARITHMETIC EXPRESSIONS; CONCLUSIONS; REFERENCES; CHAPTER 4. EVALUATION OF ARITHMETIC EXPRESSION SWITH MAXIMUM ACCURACY; INTRODUCTION; 1. EVALUATION OF POLYNOMIALS; 2. EVALUATION OF ARBITRARY ARITHMETIC EXPRESSIONS; 3. NUMERICAL RESULTS; REFERENCES; CHAPTER 5. SOLVING FUNCTION SPACE PROBLEMS WITH GUARANTEED CLOSE BOUNDS; 1. INTRODUCTION; 2. MATHEMATICAL PRELIMINARIES; 3. PRACTICAL USE OF THE FIXED POINT THEOREMS; 4. FUNCTIONAL ARITHMETIC AND ROUNDINGS
|
| 505 |
8 |
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|a 5. ALGORITHMIC EXECUTION OF ITERATIONS6. APPLICATIONS TO DIFFERENTIAL AND INTEGRAL EQUATIONS; 7. SOME EXAMPLES; REFERENCES; CHAPTER 6. ULTRA-ARITHMETIC: THE DIGITAL COMPUTER SET IN FUNCTION SPACE; 1. INTRODUCTION; 2. A REVIEW OF ULTRA-ARITHMETIC; 3. APPLICATIONS OF ULTRA-ARITHMETIC; 4. THE ARITHMETIC OF INTERVALS OF POLYNOMIALS; REFERENCES; CHAPTER 7. A FORTRAN EXTENSION FOR SCIENTIFIC COMPUTATION; 1. MOTIVATION; 2. NOTATION OF THE LANGUAGE EXTENSION; 3. SYNTAX AND SEMANTICS OF THE EXTENSION; REFERENCES; CHAPTER 8. AN INTRODUCTION TO MATRIX PASCAL:A PASCAL EXTENSION FOR SCIENTIFIC COMPUTATION
|
| 505 |
8 |
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|a A. DATA TYPESB. EXPRESSIONS; C. PROCEDURES, FUNCTIONS, OPERATORS; D. UNIVERSAL OPERATOR CONCEPT; E. EXPRESSIONS WITH MAXIMUM ACCURACY; F. STANDARD FUNCTIONS; REFERENCES; CHAPTER 9. REALIZATION OF AN OPTIMAL COMPUTER ARITHMETIC; 1. INTRODUCTION -- MATHEMATICAL FOUNDATIONS; 2. ORGANIZATION OF THE ARITHMETIC; 3. IMPLEMENTATION OF THE ELEMENTARY OPERATIONS; 4. OPERATIONS IN THE HIGHER SPACES; 5. REALIZATION ON A MICRO COMPUTER; REFERENCES; CHAPTER 10. FEATURES OF A HARDWARE IMPLEMENTATION OF AN OPTIMAL ARITHMETIC; 1. INTRODUCTION; 2. IMPLEMENTATION OF SCALAR PRODUCTS
|
| 520 |
|
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|a A New Approach to Scientific Computation.
|
| 650 |
|
0 |
|a Numerical analysis
|x Data processing.
|
| 650 |
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0 |
|a Algebra
|x Data processing.
|
| 650 |
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0 |
|a Computer arithmetic.
|
| 650 |
|
6 |
|a Arithmétique interne des ordinateurs.
|
| 650 |
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6 |
|a Analyse numérique
|x Informatique.
|
| 650 |
|
6 |
|a Algèbre
|x Informatique.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Applied.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
|
| 650 |
|
7 |
|a Algebra
|x Data processing
|2 fast
|
| 650 |
|
7 |
|a Computer arithmetic
|2 fast
|
| 650 |
|
7 |
|a Numerical analysis
|x Data processing
|2 fast
|
| 650 |
|
7 |
|a Numerische Mathematik
|2 gnd
|
| 650 |
|
7 |
|a Teoria Da Computacao.
|2 larpcal
|
| 650 |
|
7 |
|a Numerical analysis
|x Data processing.
|2 nli
|
| 650 |
|
7 |
|a Computer arithmetic.
|2 nli
|
| 650 |
|
7 |
|a Algebra
|x Data processing.
|2 nli
|
| 650 |
|
7 |
|a Analyse numérique ordinateur.
|2 ram
|
| 653 |
|
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|a Applied mathematics
|a Numerical analysis
|a Computation
|
| 655 |
|
7 |
|a Electronic books.
|2 local
|
| 655 |
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2 |
|a Congress
|
| 655 |
|
7 |
|a proceedings (reports)
|2 aat
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| 655 |
|
7 |
|a Conference papers and proceedings
|2 fast
|
| 655 |
|
7 |
|a Conference papers and proceedings.
|2 lcgft
|
| 655 |
|
7 |
|a Actes de congrès.
|2 rvmgf
|
| 700 |
1 |
|
|a Kulisch, Ulrich.
|
| 700 |
1 |
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|a Miranker, Willard L.
|
| 710 |
2 |
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|a ScienceDirect (Online service)
|
| 710 |
2 |
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|a International Business Machines Corporation.
|1 https://id.oclc.org/worldcat/entity/E39QH7JmqJWjV96gH78FxpHjdF
|
| 758 |
|
|
|i has work:
|a A new approach to scientific computation (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCXtJdrJfMMfJyMMMJ3TVwd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Symposium on a New Approach to Scientific Computation (1982 : IBM Thomas J. Watson Research Center).
|t New approach to scientific computation.
|d New York : Academic Press, 1983
|w (DLC) 83015595
|w (OCoLC)9893444
|
| 830 |
|
0 |
|a Notes and reports in computer science and applied mathematics ;
|v 7.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://www.sciencedirect.com/science/book/9780124286603
|z Connect to the full text of this electronic book
|t 0
|
| 955 |
|
|
|a Elsevier ScienceDirect 2026-2027
|
| 994 |
|
|
|a 92
|b TXA
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| 999 |
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|i c81653f6-db90-4451-93d0-d0c26b00687a
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|t 0
|
| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e QA297 .S847 1982
|h Library of Congress classification
|
| 998 |
f |
f |
|a QA297 .S847 1982
|t 0
|l Available Online
|