Open AccessThe development of V. V. Strygin’s ideas in numerical mathematics in the works of Samara mathematicians
Author(s) -
I. A. Blatov,
N. V. Dobrobog,
E. V. Kitaeva
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012102
Subject(s) - samara , spline (mechanical) , wavelet , mathematics , boundary value problem , spline interpolation , calculus (dental) , mathematical analysis , computer science , engineering , mechanical engineering , artificial intelligence , statistics , medicine , ecology , dentistry , bilinear interpolation , biology
The article reviews the most important results in the field of numerical mathematics obtained by Professor V. V. Strygin’s disciples and the disciples of his disciples in 2000–2019 in the city of Samara. We present the results on spline interpolation of functions with a boundary layer, methods and algorithms for a posteriori adaptation of computational grids for singularly perturbed boundary value problems and the results on applied wavelet analysis based on spline wavelets.