Investigation of the Errors Arising in Computer Realizations of Numerical Methods

N. M. Sherykhalina; V. P. Zhitnikov; N. I. Zhitnikova

Computer Science and Information Technologies, Computer Science and Information Technologies 2014

N. M. Sherykhalina, V. P. Zhitnikov, N. I. Zhitnikova

Last modified: 2021-03-01

Abstract

The ideas and methods of numerical results filtration are used for boundary problems solution for original differential equations. The lows of the errors of numerical method, input data and round-off dependences on digitization parameter are foundfor different methods of boundary problems solution.

Keywords

numerical results filtration; numerical method; parameter are found

References

1. Zhitnikov V.P., Sherykhalina N.M. "Multicomponentanalysis of numerical results". Saarbrucken, Germany:LAP LAMBERT Academic Publishing GmbH & Co.KG, 2012.

2. Zhitnikov V.P., Sherykhalina N.M. "Multi-stagefiltration of numerical problems solution by methodsof complex variable functions theory". Computationaltechnologies, 2013, 18(1), 15-24.

3. Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M."Numerical methods". Nauka, Moscow, 2004.

4. Volkov E.A. "Numerical methods". Nauka, Moscow,1982.

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