Numerical implementation of the method of boundary integral equations in boundary value problems of hydrodynamics
Presents the results of some generalizations of the original vector and tensor analysis and its applications in terms of the method of boundary integral equations and its numerical implementation for solving nonlinear boundary value problems of hydrodynamics. In this work, a new generalized approach to obtain analytical and numerical solutions for a wide class of nonlinear problems in continuum mechanics is presented. New approach and required formal apparatus for the formulation of the boundary integral equations, equivalent to the initial-boundary problems of the main mathematical models in mechanics of fluid and gas, are developed.