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Your search keyword '"Shvartsman, B."' showing total 3 results
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3 results on '"Shvartsman, B."'

1. Solution of Fractional Order Differential Equation by the Haar Wavelet Method. Numerical Convergence Analysis for Most Commonly Used Approach.

Author

Majak, J., Shvartsman, B., Pohlak, M., Karjust, K., Eerme, M., and Tungel, E.

Subjects
*DIFFERENTIAL equations, *WAVELETS (Mathematics), *WAVELET transforms, *HARMONIC analysis (Mathematics), *NUMERICAL analysis
Abstract

The Haar wavelet method is applied for solution of fractional order differential equations. Numerical convergence analysis is performed for most commonly used wavelet expansion. It has been observed that the order of convergence of the Haar wavelet method is equal to two if higher order derivative α in fractional differential equation exceed one (α>1). However, in the case of 0< α<1 the order of convergence of the Haar wavelet method tends to the value 1+ α. [ABSTRACT FROM AUTHOR]

Published
2016
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2. On the accuracy of the Haar wavelet discretization method.

Author

Majak, J., Shvartsman, B., Karjust, K., Mikola, M., Haavajõe, A., and Pohlak, M.

Subjects
*HAAR system (Mathematics), *WAVELETS (Mathematics), *DISCRETIZATION methods, *VIBRATION (Mechanics), *NUMERICAL solutions to differential equations
Abstract

Current study contains adaption of Haar wavelet discretization method (HWDM) for FG beams and its accuracy estimates. The convergence analysis is performed for differential equations covering a wide class of composite and nanostructures. Corresponding error bound has been derived. It has been shown that the order of convergence of the HWDM can be increased from two to four by applying Richardson extrapolation method. The theoretical estimates are validated by numerical samples considering FGM beam as a model problem. The results obtained by applying HWDM are compared with the results of finite difference method (FDM). [ABSTRACT FROM AUTHOR]

Published
2015
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3. Observation of an Anomaly in the Angular Distribution of Cumulative Hadrons near the Backward Direction.

Author

Vorobiev, L. S., Gavrilov, V. B., Grishuk, Yu. G., Degtyarenko, P. V., Efremenko, Yu. V., Zagreev, B. V., Kossov, M. V., Kuleshov, S. V., Leksin, G. A., Pivnyuk, N. A., Serov, V. S., Smirnitsky, A. V., Shvartsman, B. B., and Shuvalov, S. M.

Subjects
*HADRONS, *ANGULAR distribution (Nuclear physics)
Abstract

The angular distributions of secondary pions, protons, and deuterons originating from π[sup -]Pb interactions at an incident-pion momentum of 5 GeV/c was determined in a new run of measurements relying on track reconstruction. While showing a decrease over a large angular interval with increasing emission angle, the yield of cumulative particles of each species was found to be anomalously large near the backward direction. [ABSTRACT FROM AUTHOR]

Published
2000
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