| Applied Problems in Mathematical Modelling |
|
We show that the problem of friction lubrication in sliding bearings with
elastic-deformable walls belongs the class of stiff problems and propose
a method for solving it based on parameter extrapolation.
Y. Beygelzimer, L. Vax, Y. Palant. On the stiffness of the contact hydrodynamics problem, Proceedings of Contact Hydrodynamics, in Russian, 51--55, (1981). Among other applied projects, I investigated percolation with long range dependencies: Y. Bejgel'zimer, V. Synkov, L. Trankovskaya, D. Trankovskij, E. Dashevskij. Computer simulation of electrical conductivity of woven materials with metal microfibres. II. Account of probability of electrical contact between crossing filaments, Poroshkovaya Metallurgiya (Ukraine), Vol. 7--8, 28--33, July--August 1997. Y. Bejgel'zimer, V. Synkov, L. Trankovskaya, D. Trankovskij. Computer simulation of electrical conductivity of woven materials with metal microfibers. I. The generalization of the node problem of percolation theory for long-range action, Poroshkovaya Metallurgiya (Ukraine), Vol. 3--4, 66--70, March--April 1997. |