Spline Interpolation of Functions with a Boundary Layer Component
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@Article{IJNAMB-2-262,
author = {Alexander I. Zadorin},
title = {Spline Interpolation of Functions with a Boundary Layer Component},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {2},
pages = {262--279},
abstract = {This paper is concerned with the spline interpolation of functions with a boundary layer component. It is shown that polynomial formulas of spline interpolation for such functions
lead to significant errors. We proposed nonpolynomial spline interpolation formulas, fitted to
a boundary layer component. Nonsmooth and smooth on whole interval interpolants are constructed.
The accuracy of constructed formulas is estimated. Numerical results are discussed.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/312.html}
}
TY - JOUR
T1 - Spline Interpolation of Functions with a Boundary Layer Component
AU - Alexander I. Zadorin
JO - International Journal of Numerical Analysis Modeling Series B
VL - 2
SP - 262
EP - 279
PY - 2011
DA - 2011/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/312.html
KW -
AB - This paper is concerned with the spline interpolation of functions with a boundary layer component. It is shown that polynomial formulas of spline interpolation for such functions
lead to significant errors. We proposed nonpolynomial spline interpolation formulas, fitted to
a boundary layer component. Nonsmooth and smooth on whole interval interpolants are constructed.
The accuracy of constructed formulas is estimated. Numerical results are discussed.
Alexander I. Zadorin. (2011). Spline Interpolation of Functions with a Boundary Layer Component.
International Journal of Numerical Analysis Modeling Series B. 2 (2).
262-279.
doi:
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