Volume 2, Issue 2
Spline Interpolation of Functions with a Boundary Layer Component

Alexander I. Zadorin

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 262-279

Published online: 2011-02

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  • 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.
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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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