Холин Юрий Валентинович. Химик, доктор химических наук, профессор. Докторская диссертация: «Количественный физико-химический анализ комплексообразования в растворах и на поверхности химически модифицированных кремнеземов: содержательные модели, математические методы и их приложения» (2000 год). Родился в 1962 году в Харькове. В 1984 году окончил химический факультет Харьковского государственног...

Linearization of 1-D Euler equations about a discontinuous solution is discussed from both the theoretical and numerical point of view. Estimates for the norm of the solution of the linearized system are shown to be valid for the case presented. Numerically, the linearization is performed following the guidelines of tangent linear model and sensitivities with respect to a flow parameter are com...

Using FEM during the design of cathodic protection system can optimize the cathodic protection system and forecast the distribution of potential in real marine environment. A single bar was modeled for which protection was provided by an anode located in different places. Through analysis of each unit and synthesis in the whole area, mathematical model of 3-D finite element was constructed. Pot...

An alternative approach for numerical calculation of the square-wave voltammograms using the mathematical programming package MATHCAD is presented. A quasi-reversible redox reaction is considered and a mathematical model is developed under conditions of the square-wave voltammetry (SWV). Application of the mathematical model in MATHCAD is discussed and the file used for numerical simulation is ...

This paper proposes a simple and efficient method to numerically obtain the mapping degree deg( f , 0, B) of a C1 map f : Rn → Rn at a regular value 0 relative to a bounded open subset B ⊂ Rn. For practical application, this method adopts Aberth’s algorithm which does not require computation of derivatives and determinants, and reduces the computational cost with two additional procedures, name...

It is generally agreed that of all quadrature formulae, the trapezoidal rule, while being the simplest, is also the least accurate. There is, however, a rather general class of integrals for which the trapezoidal rule can be shown to be a highly accurate means of obtaining numerical values. Specifically, if the integrand is a periodic, even function with all derivatives continuous, then the int...

Recently, bianisotropic media again received increasing importance in electromagnetic theory because of advances in material science which enable the manufacturing of complex bianisotropic materials. By using Maxwell's equations and corresponding boundary conditions, the electromagnetic field distribution in bianisotropic solenoid coils is determined and the influence of the bianisotropic behav...

The Moran process on graphs is a popular model to study the dynamics of evolution in a spatially structured population. Exact analytical solutions for the fixation probability and time of a new mutant have been found for only a few classes of graphs so far. Simulations are time-expensive and many realizations are necessary, as the variance of the fixation times is high. We present an algorithm ...

The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on non...