Zobrazeno 1 - 10
of 75 316
pro vyhledávání: '"Collocation Method"'
Nonlinear and nonaffine terms in parametric partial differential equations can potentially lead to a computational cost of a reduced order model (ROM) that is comparable to the cost of the original full order model (FOM). To address this, the Reduced
Externí odkaz:
http://arxiv.org/abs/2412.02152
Physics-Informed Neural Networks (PINNs) are an emerging tool for approximating the solution of Partial Differential Equations (PDEs) in both forward and inverse problems. PINNs minimize a loss function which includes the PDE residual determined for
Externí odkaz:
http://arxiv.org/abs/2411.19632
Autor:
Jebreen, Haifa Bin1 (AUTHOR) hjebreen@ksu.edu.sa, Dassios, Ioannis2 (AUTHOR) ioannisdassios@gmail.com
Publikováno v:
Mathematics (2227-7390). Nov2024, Vol. 12 Issue 21, p3388. 15p.
Publikováno v:
Journal of Computational and Applied Mathematics 458 (2025), 116343
We consider a nonlocal functional equation that is a generalization of the mathematical model used in behavioral sciences. The equation is built upon an operator that introduces a convex combination and a nonlinear mixing of the function arguments. W
Externí odkaz:
http://arxiv.org/abs/2411.01862
Autor:
O.V. Germider, V. N. Popov
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 50, Iss 1, Pp 19-35 (2024)
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integ
Externí odkaz:
https://doaj.org/article/5394b04fbd8c46ac8075a5930666dabc
Autor:
YILDIRIM, Gamze1,2, YÜZBAŞI, Şuayip3 suayipyuzbasi@bartin.edu.tr
Publikováno v:
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 6, p1156-1182. 27p.
Autor:
Abbassi, Passant K.1,2 (AUTHOR) passant.abbassy@guc.edu.eg, Fathy, Mohamed3 (AUTHOR) moh_fathy79_6@aast.edu, Elbarkoki, R. A.2 (AUTHOR), Abdelgaber, K. M.4 (AUTHOR)
Publikováno v:
Boundary Value Problems. 10/25/2024, Vol. 2024 Issue 1, p1-15. 15p.
Autor:
Kumar, Amit1 (AUTHOR) akumar3@arsd.du.ac.in, Khan, Ayub2 (AUTHOR) akhan12@jmi.ac.in, Abdullah, Abdullah3 (AUTHOR) abdullah@zh.du.ac.in
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 16, p2565. 14p.
Autor:
Abadia-Doyle, Gabriela, Rao, Anil V.
A modified form of Legendre-Gauss orthogonal direct collocation is developed for solving optimal control problems whose solutions are nonsmooth due to control discontinuities. This new method adds switch-time variables, control variables, and colloca
Externí odkaz:
http://arxiv.org/abs/2406.06824