Bulletin of Mathematical Sciences and Applications
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Latest Results for Bulletin of Mathematical Sciences and Applicationsen-usBulletin of Mathematical Sciences and Applications
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/published/api/journals/scinet.published.getCover(id=19)Extrapolation Problem for Continuous Time Periodically Correlated Isotropic Random Fields
https://www.scipress.com/BMSA.19.1
10.18052/www.scipress.com/BMSA.19.1Publication date: 1 August 2017
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<br />Author(s): Iryna Golichenko, Oleksand Masyutka, Mikhail Moklyachuk
<br />The problem of optimal linear estimation of functionals depending on the unknown values of a random field ζ (t, x), which is mean-square continuous periodically correlated with respect to time argument t є R and isotropic on the unit sphere Sn with respect to spatial argument x є Sn. Estimates are based on observations of the field ζ (t, x) + Θ (t, x) at points (t, x) : t < 0; x є Sn, where Θ (t, x) is an uncorrelated with ζ (t, x) random field, which is mean-square continuous periodically correlated with respect to time argument t є R and isotropic on the sphere Sn with respect to spatial argument x є Sn. Formulas for calculating the mean square errors and the spectral characteristics of the optimal linear estimate of functionals are derived in the case of spectral certainty where the spectral densities of the fields are exactly known. Formulas that determine the least favourable spectral densities and the minimax (robust) spectral characteristics are proposed in the case where the spectral densities are not exactly known while a class of admissible spectral densities is given.
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<br />Tue, 1 Aug 2017 00:00:00 +0200Sat, 18 Nov 2017 03:37:11 +0100Computing F-Index of Different Corona Products of Graphs
https://www.scipress.com/BMSA.19.24
10.18052/www.scipress.com/BMSA.19.24Publication date: 1 August 2017
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<br />Author(s): Nilanjan De
<br />F-index of a graph is equal to the sum of cubes of degree of all the vertices of a given graph. Among different products of graphs, as corona product of two graphs is one of most important, in this study, the explicit expressions for F-index of different types of corona product of are obtained.
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<br />Tue, 1 Aug 2017 00:00:00 +0200Sat, 18 Nov 2017 03:37:11 +0100Comparative Study of Matlab ODE Solvers for the Korakianitis and Shi Model
https://www.scipress.com/BMSA.19.31
10.18052/www.scipress.com/BMSA.19.31Publication date: 1 August 2017
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<br />Author(s): Eyere Emagbetere, Oluleke O. Oluwole, Tajudeen A.O. Salau
<br />Changing parameters of the Korakianitis and Shi heart valve model over a cardiac cycle has led to the investigation of appropriate numerical technique(s) for good speed and accuracy. Two sets of parameters were selected for the numerical test. For the seven MATLAB ODE solvers, the computed results, computational cost and execution time were observed for varied error tolerance and initial time steps. The results were evaluated with descriptive statistics; the Pearson correlation and ANOVA at The dependence of the computed result, accuracy of the method, computational cost and execution time of all the solvers, on relative tolerance and initial time steps were ascertained. Our findings provide important information that can be useful for selecting a MATLAB ODE solver suitable for differential equation with time varying parameters and changing stiffness properties.
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<br />Tue, 1 Aug 2017 00:00:00 +0200Sat, 18 Nov 2017 03:37:11 +0100