Two-Dimensional Interpolation of Functions by Cubic Splines in the Presence of Boundary Layers
نویسندگان
چکیده
We study interpolation of a function two variables with large gradients in regions boundary layer under the assumption that Shishkin decomposition into sum regular and components is valid for interpolated function. generalize one-dimensional cubic splines, studied earlier on Bakhvalov grids, to two-dimensional case. obtain error estimates spline interpolation, uniform small parameter.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-06156-5