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Self-Validating Numerics for Function Space Problems. Computation with Guarantees for Differential and Integral Equations

✍ Scribed by Edgar W. Kaucher, Willard L. Miranker and Werner Rheinboldt (Auth.)


Publisher
Elsevier Inc, Academic Press Inc
Year
1984
Tongue
English
Leaves
262
Series
Computer Science and Applied Mathematics
Category
Library

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✦ Table of Contents


Content:
Notes and Reports in Computer Science and Applied Mathematics, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages xi-xii
ACKNOWLEDGMENTS, Page xiii
Chapter 1 - INTRODUCTION, Pages 1-8
Chapter 2 - MATHEMATICAL PRELIMINARIES, Pages 9-27
Chapter 3 - ULTRA-ARITHMETIC AND ROUNDINGS, Pages 28-83
Chapter 4 - METHODS FOR FUNCTIONAL EQUATIONS, Pages 84-141
Chapter 5 - ITERATIVE RESIDUAL CORRECTION, Pages 142-190
Chapter 6 - COMMENTS ON PROGRAMMING LANGUAGE, Pages 191-195
Chapter 7 - APPLICATION AND ILLUSTRATIVE COMPUTATION, Pages 196-246
GLOSSARIES, Pages 247-253
REFERENCES, Pages 254-255


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