@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} }