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.