کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5026631 1470625 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the parabolic spline-interpolation of functions with a boundary layer
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On the parabolic spline-interpolation of functions with a boundary layer
چکیده انگلیسی

A subject of the article is a parabolic spline-interpolation of functions having high gradient domains. Uniform grids' inefficiency was shown. The piecewise-uniform grids, concentrated in the boundary layer were scrutinized. There were announced asymptotically exact estimates on a class of functions with an exponential boundary layer in consideration with the traditional parabolic spline interpolation. There were obtained results showing non-uniform in small parameter estimates. A probable divergence of interpolation processes was extrapolated. A modified parabolic spline with obtained uniform in small parameter interpolation error estimations was introduced. The paper contains results of numerical experiments, which strengthen theoretical estimates.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Procedia Engineering - Volume 201, 2017, Pages 584-592
نویسندگان
, ,