scholarly journals Error bounds for the spectral approximation of the potential of a homogeneous almost spherical body

2021 ◽  
Author(s):  
Blažej Bucha ◽  
Lorenzo Rossi ◽  
Fernando Sansò
Keyword(s):  
Error Bounds ◽  
Spherical Body ◽  
Spectral Approximation

Outgassing-ambient interaction of a spherical body

1994 ◽  
Author(s):  
K. Guo ◽  
Goang-Shin Liaw ◽  
Lynn Chou
Keyword(s):  
Spherical Body

NUMERICAL SIMULATION OF BEHAVIOR OF SPHERICAL BODY WASHED AWAY BY FLASH FLOOD

2018 ◽  
Vol 74 (2) ◽  
pp. I_457-I_464
Author(s):  
Yu NISHIO ◽  
Makoto YAMAUCHI ◽  
Seiichiro IZAWA ◽  
Yu FUKUNISHI
Keyword(s):  
Numerical Simulation ◽  
Flash Flood ◽  
Spherical Body

scholarly journals Metric Fourier Approximation of Set-Valued Functions of Bounded Variation

2021 ◽  
Vol 27 (2) ◽  
Author(s):  
Elena E. Berdysheva ◽  
Nira Dyn ◽  
Elza Farkhi ◽  
Alona Mokhov
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Error Bounds ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Dirichlet Kernel ◽  
Partial Sums ◽  
Functions Of Bounded Variation ◽  
Moduli Of Continuity ◽  
Fourier Approximation

AbstractWe introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we define an analogue of the partial sums of the Fourier series with the help of the Dirichlet kernel using the newly defined weighted metric integral. We derive error bounds for these approximants. As a consequence, we prove that the sequence of the partial sums converges pointwisely in the Hausdorff metric to the values of the approximated set-valued function at its points of continuity, or to a certain set described in terms of the metric selections of the approximated multifunction at a point of discontinuity. Our error bounds are obtained with the help of the new notions of one-sided local moduli and quasi-moduli of continuity which we discuss more generally for functions with values in metric spaces.

scholarly journals The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type

2020 ◽  
Vol 369 ◽  
pp. 124806
Author(s):  
Ramón Orive ◽  
Aleksandar V. Pejčev ◽  
Miodrag M. Spalević
Keyword(s):  
Error Bounds ◽  
Gauss Quadrature ◽  
Weight Functions ◽  
Quadrature Formulae
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