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The calculation of partial derivatives when crossing the jump of hydromechanical parameters
A. M. Lipanov Keldysh Institute for Applied Mathematics RAS
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
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
Linking options:
https://www.mathnet.ru/eng/mm3670 https://www.mathnet.ru/eng/mm/v27/i11/p76
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Abstract page: | 251 | Full-text PDF : | 80 | References: | 46 | First page: | 11 |
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