Article information

1999 , Volume 4, ¹ 6, p.77-87

Zhitnikov V.P., Sherykhalina N.M.

Certainty estimation of numerical results obtained by several methods of problem solution

In the present paper the methods of estimating the results obtained by numerical modeling are suggested. The situation is considered when there are series of numerical methods of the same problem solution. It is necessary to estimate the accuracy of every method and its certainty if there is no divergence of results. As certainty numerical characteristic, making use of the probability that real error does not exceed the numerical error is suggested.

[full text] Classificator Msc2000:
*65C20 Models, numerical methods
65G20 Algorithms with automatic result verification
Classificator Computer Science:
*G.3 Probability and Statistics
G.1.0 General (Numerical Analysis)
I.6.4 Model Validation and Analysis

Keywords: estimation of the certainty, numerical results, errors in computer programs, accuracy of numerical methods, numerical modeling

Author(s):
Zhitnikov Vladimir Pavlovich
Dr. , Professor
Position: Head of Chair
Office: Ufa State Aviation Technical University
Address: 450000, Russia, Ufa, K. Marx str., 12
Phone Office: (347)2737431
E-mail: zhitnik@ugatu.ac.ru

Sherykhalina Nataliya Mikhailovna
PhD. , Associate Professor
Position: Associate Professor
Office: Ufa State AviationTechnical University
Address: 450000, Russia, Ufa, K. Marx str. 12
Phone Office: (347)2733200
E-mail: n_sher@mail.ru


Bibliography link:
Zhitnikov V.P., Sherykhalina N.M. Certainty estimation of numerical results obtained by several methods of problem solution // Computational technologies. 1999. V. 4. ¹ 6. P. 77-87
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