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Convergence of Integro Quartic and Sextic B-Spline interpolation
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...
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The basis of climatic data is measurements taken at a predetermined chronological order at air monitoring stations, so all measured values of climatic elements can only be attributed to the point of measurement. Therefore, different interpolation methods can help a lot in estimating climate data in different places. The study area in this study is northeastern Iran, including the provinces...
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The polynomial-trigonometric interpolation based on the Krylov approach for a smooth function given on [-1, 1] is defined on the union of m shifted each other uniform grids with the equal number of points. The asymptotic errors of the interpolation in both uniform and L2 metrics are investigated. It turned out that the corresponding errors can be minimized due to an optimal choice of the shift ...
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When observed air temperatures are analyzed spatially, irregularly sampled data are usually interpolated in some fashion. As a result, methods of spatial analysis clearly play a role in determining the size and variability of estimated air temperature changes, both spatially and temporally. Through graphical and statistical analysis, 3 spherically based interpolation methods inversedistance wei...
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Error indicators based on solution gradients, interpolation errors, and a posteriori error estimates are presented for use in deening monitor functions for the r-adaptive nite element methods based on moving mesh partial diierential equations. The methods are compared with a careful selection of examples. The numerical results show that the methods based on both interpolation errors and a poste...
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تاریخ انتشار 2001