Self-Validating Numerics for Function Space Problems.</div> <br> Abstract: Self-Validating Numerics for Function Space Problems
Self-Validating Numerics for Function Space Problems. Computation with Guarantees for Differential and Integral Equations
β 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
No coin nor oath required. For personal study only.
β¦ 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
π SIMILAR VOLUMES
This monograph is a cumulation mainly of the author's research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is the illustration of almost
<p>Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applica
This monograph is a cumulation mainly of the author's research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is the illustration of almost