Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Tynda, A."'
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical systems modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many other. Iden
Externí odkaz:
http://arxiv.org/abs/2310.19382
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrature formula is used to approximate integrals during the discretisation
Externí odkaz:
http://arxiv.org/abs/2111.11706
The systems of nonlinear Volterra integral equations of the first kind with jump discontinuous kernels are studied. The iterative numerical method for such nonlinear systems is proposed. Proposed method employs the modified Newton-Kantorovich iterati
Externí odkaz:
http://arxiv.org/abs/1910.08941
Autor:
Sidorov, Denis1,2 (AUTHOR) dsidorov@isem.irk.ru, Tynda, Aleksandr3 (AUTHOR) tyndaan@mail.ru, Muratov, Vladislav4 (AUTHOR) muratov428@gmail.com, Yanitsky, Eugeny5 (AUTHOR) yanitsky.eugeny@huawei.com
Publikováno v:
Mathematics (2227-7390). Jan2024, Vol. 12 Issue 2, p227. 13p.
Publikováno v:
Mathematics, Vol 12, Iss 2, p 227 (2024)
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others. Iden
Externí odkaz:
https://doaj.org/article/26b193212c914c9998633b47ace067dc
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 39, Iss 1, Pp 62-79 (2022)
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gausstype quadrature formula is used to approximate integrals during the discretization
Externí odkaz:
https://doaj.org/article/773002239bcf4bf18088a24ccf1d793d
Autor:
Muftahov, Ildar, Sidorov, Denis, Zhukov, Aleksei, Panasetsky, Daniil, Foley, Aoife, Li, Yong, Tynda, Aleksandr
Development of reliable methods for optimised energy storage and generation is one of the most imminent challenges in moder power systems. In this paper an adaptive approach to load leveling problem using novel dynamic models based on the Volterra in
Externí odkaz:
http://arxiv.org/abs/1608.05221
We propose the numerical methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equation of the first kind. The kernels of such equations have jump discontinuities along the continuous curves (endogenous dela
Externí odkaz:
http://arxiv.org/abs/1507.06484
The numerical method for solution of the weakly regular scalar Volterra integral equation of the 1st kind is proposed. The kernels of such equations have jump discontinuities on the continuous curves which starts at the origin. The mid-rectangular qu
Externí odkaz:
http://arxiv.org/abs/1403.3764
Autor:
Boykov, I. V., Tynda, A. N.
Weakly singular Volterra integral equations of the different types are considered. The construction of accuracy-optimal numerical methods for one-dimensional and multidimensional equations is discussed. Since this question is closely related with the
Externí odkaz:
http://arxiv.org/abs/1306.2904