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Local Splines of the Zero and First Degrees, and the Solution of Integral Equation. / Бурова, Ирина Герасимовна; Алцыбеев, Глеб Олегович; Щипцова, Софья Андреевна; Han, Y. .

2023. 52–58 Paper presented at 2023 International Conference on Control, Artificial Intelligence, Robotics and Optimization, ICCAIRO 2023.

Research output: Contribution to conference › Paper › peer-review

Harvard

Бурова, ИГ, Алцыбеев, ГО, Щипцова, СА & Han, Y 2023, 'Local Splines of the Zero and First Degrees, and the Solution of Integral Equation', Paper presented at 2023 International Conference on Control, Artificial Intelligence, Robotics and Optimization, ICCAIRO 2023, 11/04/23 - 13/04/23 pp. 52–58. https://doi.org/10.1109/iccairo58903.2023.00016

APA

Бурова, И. Г., Алцыбеев, Г. О., Щипцова, С. А., & Han, Y. (2023). Local Splines of the Zero and First Degrees, and the Solution of Integral Equation. 52–58. Paper presented at 2023 International Conference on Control, Artificial Intelligence, Robotics and Optimization, ICCAIRO 2023. https://doi.org/10.1109/iccairo58903.2023.00016

Vancouver

Бурова ИГ, Алцыбеев ГО, Щипцова СА, Han Y. Local Splines of the Zero and First Degrees, and the Solution of Integral Equation. 2023. Paper presented at 2023 International Conference on Control, Artificial Intelligence, Robotics and Optimization, ICCAIRO 2023. https://doi.org/10.1109/iccairo58903.2023.00016

Author

Бурова, Ирина Герасимовна ; Алцыбеев, Глеб Олегович ; Щипцова, Софья Андреевна ; Han, Y. . / Local Splines of the Zero and First Degrees, and the Solution of Integral Equation. Paper presented at 2023 International Conference on Control, Artificial Intelligence, Robotics and Optimization, ICCAIRO 2023.7 p.

BibTeX

@conference{587c546e672a489dacf55cbb0bd24a3a,
title = "Local Splines of the Zero and First Degrees, and the Solution of Integral Equation",
abstract = "This paper discusses the features of using local splines of the first and second orders of approximation for solving Fredholm integral equations of the second kind. Note that basis splines with 'narrow' support (i.e. if the length of the support of the basis spline is equal to one or two grid intervals) do not give a boundary layer when we construct the approximation on a finite interval. In addition, such splines are more convenient when building a non-uniform adaptive grid. The local splines of the first and second orders of approximation allow us to construct approximations and solve the integral equations on a non-uniform grid. The solution of the Fredholm integral equations of the second kind with a weak singularity is discussed too.",
keywords = "сплайны, интегральные уравнения, Fredholm integral equations of the second kind, Fredholm integral equations of the second kind with a weak singularity, a non-uniform grid, local splines",
author = "Бурова, {Ирина Герасимовна} and Алцыбеев, {Глеб Олегович} and Щипцова, {Софья Андреевна} and Y. Han",
year = "2023",
month = apr,
day = "1",
doi = "10.1109/iccairo58903.2023.00016",
language = "English",
pages = "52–58",
note = "null ; Conference date: 11-04-2023 Through 13-04-2023",

}

RIS

TY - CONF

T1 - Local Splines of the Zero and First Degrees, and the Solution of Integral Equation

AU - Бурова, Ирина Герасимовна

AU - Алцыбеев, Глеб Олегович

AU - Щипцова, Софья Андреевна

AU - Han, Y.

PY - 2023/4/1

Y1 - 2023/4/1

N2 - This paper discusses the features of using local splines of the first and second orders of approximation for solving Fredholm integral equations of the second kind. Note that basis splines with 'narrow' support (i.e. if the length of the support of the basis spline is equal to one or two grid intervals) do not give a boundary layer when we construct the approximation on a finite interval. In addition, such splines are more convenient when building a non-uniform adaptive grid. The local splines of the first and second orders of approximation allow us to construct approximations and solve the integral equations on a non-uniform grid. The solution of the Fredholm integral equations of the second kind with a weak singularity is discussed too.

AB - This paper discusses the features of using local splines of the first and second orders of approximation for solving Fredholm integral equations of the second kind. Note that basis splines with 'narrow' support (i.e. if the length of the support of the basis spline is equal to one or two grid intervals) do not give a boundary layer when we construct the approximation on a finite interval. In addition, such splines are more convenient when building a non-uniform adaptive grid. The local splines of the first and second orders of approximation allow us to construct approximations and solve the integral equations on a non-uniform grid. The solution of the Fredholm integral equations of the second kind with a weak singularity is discussed too.

KW - сплайны

KW - интегральные уравнения

KW - Fredholm integral equations of the second kind

KW - Fredholm integral equations of the second kind with a weak singularity

KW - a non-uniform grid

KW - local splines

UR - https://www.mendeley.com/catalogue/d1ea941f-f6d5-3d70-abc3-ebfac1a612db/

U2 - 10.1109/iccairo58903.2023.00016

DO - 10.1109/iccairo58903.2023.00016

M3 - Paper

SP - 52

EP - 58

Y2 - 11 April 2023 through 13 April 2023

ER -

ID: 114348250