Geodesic
The calculation of partial derivatives when crossing the jump of hydromechanical parameters
Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 76-94

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : calculation algorithm, spatial variables. 
A. M. Lipanov. The calculation of partial derivatives when crossing the jump of hydromechanical parameters. Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 76-94. http://geodesic.mathdoc.fr/item/MM_2015_27_11_a6/
@article{MM_2015_27_11_a6,
     author = {A. M. Lipanov},
     title = {The calculation of partial derivatives when crossing the jump of hydromechanical parameters},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--94},
     year = {2015},
     volume = {27},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_11_a6/}
}
TY  - JOUR
AU  - A. M. Lipanov
TI  - The calculation of partial derivatives when crossing the jump of hydromechanical parameters
JO  - Matematičeskoe modelirovanie
PY  - 2015
SP  - 76
EP  - 94
VL  - 27
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/MM_2015_27_11_a6/
LA  - ru
ID  - MM_2015_27_11_a6
ER  - 
%0 Journal Article
%A A. M. Lipanov
%T The calculation of partial derivatives when crossing the jump of hydromechanical parameters
%J Matematičeskoe modelirovanie
%D 2015
%P 76-94
%V 27
%N 11
%U http://geodesic.mathdoc.fr/item/MM_2015_27_11_a6/
%G ru
%F MM_2015_27_11_a6

[1] N. E. Kochin, I. A. Kibel, N. V. Roze, Teoreticheskaia gidromekhanika, v. I, Fizmatlit, M., 1963, 584 pp.; v. II, 728 pp.

[2] A. M. Lipanov, Teoreticheskaia gidromekhanika niutonovskikh sred, Nauka, M., 2011, 551 pp.

[3] A. M. Lipanov, “Logistic Curves and the Formation of Variable Steps of Spatial Variable Integration”, Mathematical Models and Computer Simulations, 6:6 (2014), 631–643 | DOI | MR | Zbl

[4] A. A. Samarskii, Vvedenie v teoriiu raznostnykh skhem, Nauka, M., 1983, 553 pp. | MR

[5] I. N. Bronshtein, K. A. Semendiaev, Spravochnik po matematike dlia inzhenerov i uchashchikhsia vtuzov, Izd. 13, ispr., Nauka, M., 1986, 544 pp.