... study the structure of a manifold for a finite-difference approximation in time in the case of quasilinear parabolic-type equations and to prove that, in terms of the integral metric, the manifold of the nonlinear problem exists in an unbounded ellipsoid ...
... Shpynev B.G., Voronov A.L. We consider the problem of residual functional minimization that arises in the case of long experimental data series processing when the measured process is described by nonlinear integro-differential or integral equations. ...
... based of the generalized residual principle when solving integral equations ... Application of the boundary integral equation method to numerical solution of ... for the Helmholtz equation using the method of hypersingular integral equations ...
... The technique unites the processes of construction of multigrid structures, computation of index mappings, evaluation of integrals, usage of multigrid cycles, etc. ...
... Pickalov V.V. and Likhachev A.V. The simplified formulation of the Doppler tomography problem leads to a reconstruction of a function of three variables from a set of its plane integrals. ...
... Our approach is based on applying special ultrasonic flowmeters and on solving an Abel-type integral equation whose right-hand side is assumed to be given with errors at a finite number of measurement points. ...
... With the help of a computer program developed on the basis of a combination of boundary integral equations, discrete vortices and methods for numerical integration of equations describing the dynamics of polifraction groups of dust particles, a ...