Introductory Remarks on Reliable Engineering Computing

Introductory Remarks on Reliable Engineering Computing Reliable Computing (2006) 12: 405–408 c Springer 2006 DOI: 10.1007/s11155-006-9011-8 Introductory Remarks on Reliable Engineering Computing RAMON E. MOORE 40 Orchard Dr., Worthington, OH 43085, USA, e-mail: rmoore17@columbus.rr.com “In a physical system model, uncertainties can originate from several sources” (Rafi Muhanna and Robert Mullen): 1. The Appropriateness of the Mathematical Model to Describe the Physical System Examples of the use of interval methods in this connection: 1) A physics problem at Lockheed (ca. 1960): Q: Is the strange behavior of the computer model due to round-off errors? A: After converting the program to run in interval arithmetic with outward rounding, it was determined that round-off error was very small in the original program. Result: the physicist took another look at the model equations and found that there was a missing term. 2) A long controversy between research groups at MIT and Cal Tech concerned whether the observed behavior of computer simulations was due to roundoff error or defects in the mathematical model, in the case of computer solutions of the Birkhoff-Rota complex partial differential/integral equations modeling the onset of turbulence in wind-shears. My graduate student Jeffrey Ely wrote a program for variable-precision interval arithmetic with outward rounding, and finally http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Introductory Remarks on Reliable Engineering Computing

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2006 by Springer Science + Business Media B.V.
Subject
Mathematics; Numeric Computing; Mathematical Modeling and Industrial Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-006-9011-8
Publisher site
See Article on Publisher Site

Abstract

Reliable Computing (2006) 12: 405–408 c Springer 2006 DOI: 10.1007/s11155-006-9011-8 Introductory Remarks on Reliable Engineering Computing RAMON E. MOORE 40 Orchard Dr., Worthington, OH 43085, USA, e-mail: rmoore17@columbus.rr.com “In a physical system model, uncertainties can originate from several sources” (Rafi Muhanna and Robert Mullen): 1. The Appropriateness of the Mathematical Model to Describe the Physical System Examples of the use of interval methods in this connection: 1) A physics problem at Lockheed (ca. 1960): Q: Is the strange behavior of the computer model due to round-off errors? A: After converting the program to run in interval arithmetic with outward rounding, it was determined that round-off error was very small in the original program. Result: the physicist took another look at the model equations and found that there was a missing term. 2) A long controversy between research groups at MIT and Cal Tech concerned whether the observed behavior of computer simulations was due to roundoff error or defects in the mathematical model, in the case of computer solutions of the Birkhoff-Rota complex partial differential/integral equations modeling the onset of turbulence in wind-shears. My graduate student Jeffrey Ely wrote a program for variable-precision interval arithmetic with outward rounding, and finally

Journal

Reliable ComputingSpringer Journals

Published: Oct 25, 2006

References

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