Some problems concerning the functional differential equations
Some problems in neutron transport theory
Some problems related to discretization of Chaplygin's method
Some properties of interpolating quadratic spline
Some properties of solutions to polynomial systems of differential equations.
Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems.
Some properties of the functional equation .
Some relatively new techniques for nonlinear problems.
Some remarks about the monotone inclusion for solutions of nonlinear equations by regula-falsi-like methods
First, a result of J. W. Schmidt about the monotone enclosure of solutions of nonlinear equations is generalized. Then an iteration method is considered, which is more effective than other known methods. For this method, monotone enclosure statements are also proved.
Some remarks concerning stabilization techniques for convection--diffusion problems
There are many methods and approaches to solving convection--diffusion problems. For those who want to solve such problems the situation is very confusing and it is very difficult to choose the right method. The aim of this short overview is to provide basic guidelines and to mention the common features of different methods. We place particular emphasis on the concept of linear and non-linear stabilization and its implementation within different approaches.
Some remarks on an ODE-solver of Kirchgraber.
Some remarks on averaging in the BDDC method
In this paper, we introduce a general framework for derivation of the averaging operator, from which the standard choices are recovered by simplifications. Then, an alternative approach derived by another simplification is proposed and tested on a 2D example.
Some remarks on Bairstow's method
Some remarks on best regularization
Some remarks on -faster convergent infinite series
A structure of terms of -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of -faster convergent series with different types of their terms are proved. Some consequences are discussed.
Some remarks on iterative methods for systems of linear equations
Some remarks on numerical solution of initial problems for systems of differential equations
This paper presents a class of numerical methods for approximate solution of systems of ordinary differential equations. It is shown that under certain general conditions these methods are convergent for sufficiently small step size. We give estimations of errors which are better than the known ones.
Some remarks on pseudorandom sequences
Some remarks on the asymptotic equivalence
Some remarks on the Galerkin approximation of parabolic equations