in this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. a numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. truncation errors are derived for both continuous and discontinuous problems. parameter uni...

We analyse the role of time-variation in coeffi cients and other sources of uncertainty in exchange rate forecasting regressions. Our techniques incorporate the notion that the relevant set of predictors and their corresponding weights, change over time. We find that predictive models which allow for sudden, rather than smooth, changes in coeffi cients significantly beat the random walk benchma...

The latter is an especially attractive characterization of the nth central binomial coefficient. Contrast this with the nth central trinomial coefficient, B(n), defined to be the largest coefficient of the polynomial (1 + x + x). There is no simple closed-form expression for B(n) [2]. It possesses recursion (n+ 1)B(n+ 1) = (2n+ 1)B(n) + 3nB(n− 1), B(0) = B(1) = 1 and asymptotics B(n) ∼ r 3 4π n...

In dynamic regression models conditional maximum likelihood (least-squares) coeffi cient and variance estimators are biased. From expansions of the coeffi cient variance and its estimator we obtain an approximation to the bias in variance estimation and a bias corrected variance estimator, for both the standard and a bias corrected coeffi cient estimator. These enable a comparison of their mean...

PELIKÁN PETR, MARKOVÁ JANA. 2016. The use of Regression Triplet in Hydraulic Modelling on the Example of Determination of Overfall Coeffi cient. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 64(2): 497–502. The paper is focused on a hydraulic problem of water overfall on hydrotechnic structures, especially outlets and spillways of water reservoirs. The main parameter o...

Comprehensive analysis of the chemical phenomena taking place in the liquid metal/gaseous phase systems typical for metallurgy requires knowledge of the mass transfer phenomena occurring in both the said phases. This results from the fact that in heterogeneous systems, the components of the individual phases react with one another only after penetrating the interface. The parameter characterisi...

The paper presents data on the dynamics of body weight and mass coeffi cient lungs in golden Syrian hamsters after infection with SARS CoV-2 virus. It was found that most pronounced deviations studied parameters develop 7th day disease. study also demonstrates main histopathological changes during this period

Equivalent circuits containing frequency-variable radiation resistances are postulated for small monopole and small loop antennas above a ground plane. The equivalent circuits are valid below the fi rst natural resonance frequency. By adding an external series inductance or a parallel capacitance, the antenna’s Q is evaluated with the use of an invariant form for the refl ection coeffi cient. T...

Quadratic trigamma functions and reciprocal binomial coeffi cients sums are investigated in this paper. Closed form representations and integral expressions are developed for the infinite series.