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Matematicheskoe modelirovanie, 2015, Volume 27, Number 11, Pages 76–94 (Mi mm3670)  

The calculation of partial derivatives when crossing the jump of hydromechanical parameters

A. M. Lipanov

Keldysh Institute for Applied Mathematics RAS
References:
Abstract: The questions of the formation of nonmonotonic variables of the steps of spatial integration at going over the jump of hydromechanical parameters (HMP) are considered.
The equations of logistic curves are derived for descending and ascending branches of the step of the spatial coordinate integration depending on the same coordinate.
The algorithms are formulated for obtaining gradients and second partial derivatives of different orders of accuracy at variable integration steps for the case of going over the HMP jump. The obtaining of the relevant order of accuracy is validated (in the above conditions).
Keywords: partial derivative, hydromechanical parameters leap, integration variable steps, calculation algorithm, spatial variables.
Received: 10.07.2014
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 4, Pages 325–340
DOI: https://doi.org/10.1134/S2070048216040128
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Lipanov, “The calculation of partial derivatives when crossing the jump of hydromechanical parameters”, Matem. Mod., 27:11 (2015), 76–94; Math. Models Comput. Simul., 8:4 (2016), 325–340
Citation in format AMSBIB
\Bibitem{Lip15}
\by A.~M.~Lipanov
\paper The calculation of partial derivatives when crossing the jump of hydromechanical parameters
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 11
\pages 76--94
\mathnet{http://mi.mathnet.ru/mm3670}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3547139}
\elib{https://elibrary.ru/item.asp?id=25707573}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 4
\pages 325--340
\crossref{https://doi.org/10.1134/S2070048216040128}
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