Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer
IA Blatov, AI Zadorin, EV Kitaeva - Computational Mathematics and …, 2019 - Springer
The problem of approximate calculation of the derivatives of functions with large gradients in
the region of an exponential boundary layer is considered. It is known that the application of …
the region of an exponential boundary layer is considered. It is known that the application of …
On biorthogonal approximation of solutions of some boundary value problems on Shishkin mesh
E Kulikov, A Makarov - AIP Conference Proceedings, 2020 - pubs.aip.org
Singularly perturbed boundary value problems are widely studied in applied problems of
physics and engineering. However, their solutions are rarely possible to construct in an …
physics and engineering. However, their solutions are rarely possible to construct in an …
An application of the cubic spline on Shishkin mesh for the approximation of a function and its derivatives in the presence of a boundary layer
IA Blatov, AI Zadorin, EV Kitaeva - Journal of Physics: Conference …, 2019 - iopscience.iop.org
The problem of the approximate calculation of the derivatives of functions having large
gradients in the region of an exponential boundary layer is considered. The problem is that …
gradients in the region of an exponential boundary layer is considered. The problem is that …
[PDF][PDF] Об одном алгоритме адаптации сеток
ДА Канашин - se.math.spbu.ru
Далеко не всегда получается провести натуральный физический эксперимент в полном
объёме. В таких случаях, исследователи прибегают к математическому …
объёме. В таких случаях, исследователи прибегают к математическому …
Generalized spline interpolation of functions with large gradients in boundary layers
IA Blatov, AI Zadorin, EV Kitaeva - Computational Mathematics and …, 2020 - Springer
The spline interpolation of functions of one variable with large gradients in boundary layers
is studied. It is well known that applying polynomial splines to interpolate functions of this …
is studied. It is well known that applying polynomial splines to interpolate functions of this …
Analogue of Cubic Spline for Functions with Large Gradients in a Boundary Layer
A Zadorin, I Blatov - Finite Difference Methods. Theory and Applications …, 2019 - Springer
The problem of spline interpolation of functions with large gradients in the boundary layer is
studied. It is assumed that the function contains the known up to a factor boundary layer …
studied. It is assumed that the function contains the known up to a factor boundary layer …