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 …

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 …

Design of growth trend map of children and adolescents based on bone age

K Chen, W Shi, K Mao, W He… - Computational …, 2022 - Wiley Online Library
Accurate height prediction has important reference significance for the development of
children and adolescents and the selection of athletes. The current mainstream height …

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 …

Computational technologies for determining the collision term in Boltzmann equation

IV Anisimova, VN Ignat'ev - Journal of Physics: Conference …, 2019 - iopscience.iop.org
For solution of applied tasks of mathematical modeling it is required to know the properties
of the medium, which are difficult or impossible to determine experimentally or by semi …

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 …

The development of VV Strygin's ideas in numerical mathematics in the works of Samara mathematicians

IA Blatov, NV Dobrobog… - Journal of Physics …, 2020 - iopscience.iop.org
The article reviews the most important results in the field of numerical mathematics obtained
by Professor VV Strygin's disciples and the disciples of his disciples in 2000–2019 in the city …

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 …