Numerical calculations for some types of boundary value problems with unbounded domains
Numerical comparison of different choices of interface weights in the BDDC method
Balancing Domain Decomposition by Constraints (BDDC) belongs to the class of primal substructuring Domain Decomposition (DD) methods. DD methods are iterative methods successfully used in engineering to parallelize solution of large linear systems arising from discretization of second order elliptic problems. Substructuring DD methods represent an important class of DD methods. Their main idea is to divide the underlying domain into nonoverlapping subdomains and solve many relatively small, local...
Numerical comparison of unsteady compressible viscous flow in convergent channel
This study deals with a numerical solution of a 2D flows of a compressible viscous fluids in a convergent channel for low inlet airflow velocity. Three governing systems – Full system, Adiabatic system, Iso-energetic systemu=4.12 ms-14 103
Numerical imperfections near a critical point
Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions
A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.
Numerical modeling of neutron flux in hexagonal geometry
Numerical modelling of river flow (numerical schemes for one type of nonconservative systems
In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume method, our approach is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially nonnegative...
Numerical modelling of tube fixing in the heat exchanger of a nuclear power plant
Numerical solution of boundary value problems by means of B-splines
O компактификации пространств близости
Oblique boundary value problems for nonlinear parabolic equations
On 4-planar mapping of special almost antiquaternionic spaces
On a boundary value problem with general linear conditions
On a category of spaces
On a certain extension of the maximum principle
On a class of polynomial Lagrangians
On a class of scalar conservation laws with locally unbounded solutions
On a construction connecting Lie algebras with general algebras
On a degenerate parabolic boundary value problem
On a distinguished class of infinite dimensional representations of