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

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).