my present and recent research on developing schemes for Navier-Stokes equations. I shall apply the designed algorithms to various problems of practical interest.

my research in the field of inverse and ill-posed problems. I developed new scheme for identification of the coefficient in ordinary differential equations, presented in [ Proceedings:7 ]. A new scheme and algorithm for solving the Sixth-Order Generalized Boussinesq Equation which arises in the well-posed models of shallow-layer inviscid flows or nonlinear chains is under way.

I have recently proposed how to identify coefficient in elliptic problems which is a typical example of inverse problem. Similar case is the reconstruction of conductivity in the interior of convex bounded domain when the potential inside the domain is governed by tomography equation and when over-posed boundary data are available is considered in [ Proceedings:14, Proceedings:12 ]. The problem of identification of the refraction index in inhomogeneous medium when the wave amplitude is governed by Helmholtz equation and when over-posed boundary data are available is treated by means of MVI in [ Proceedings:15 ]. A new scheme for identification conductivity in Helmholtz equation is under development. My intention is to elaborate this idea in future continuing my work on coefficient identification.