Zobrazeno 1 - 10
of 3 014
pro vyhledávání: '"Ill-posed problem"'
Autor:
Nguyen Van Duc
Publikováno v:
Tạp chí Khoa học, Vol 53, Iss 3A, Pp 102-110 (2024)
In this paper, we first prove that the heat equation backward in time with Neumann and integral boundary conditions is an ill-posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Externí odkaz:
https://doaj.org/article/29869b97ec984671be9312d4538f9ee9
Publikováno v:
Journal of Geodesy and Geoinformation Science, Vol 7, Iss 3, Pp 42-56 (2024)
Affected by the insufficient information of single baseline observation data, the three-stage method assumes the Ground-to-Volume Ratio (GVR) to be zero so as to invert the vegetation height. However, this assumption introduces much biases into the p
Externí odkaz:
https://doaj.org/article/ae6976ee5e6b495fb35ab32804094066
Autor:
Qiao Yu, Xiong Xiangtuan
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 681-696 (2024)
We consider solving a severely ill-posed problem for determining the surface temperature and heat flux distribution of the nonhomogeneous sideways heat equation by a quasi-reversibility regularization method. An analytical solution is deduced based o
Externí odkaz:
https://doaj.org/article/433bf3235e4d4e019932a9702677dce5
Autor:
Luis Hamel, Sergio D. Rosales-Anzola
Publikováno v:
Journal of Applied Science and Engineering, Vol 28, Iss 7, Pp 1449-1461 (2024)
The influence of different error functions (standard deviation, normalized standard deviation, and chi-square) as objective functions in the calculation of the relaxation time spectrum is studied, as well as the influence of different minimization pr
Externí odkaz:
https://doaj.org/article/2c09b0dd596442f388bc930136c1da53
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100827- (2024)
Image deblurring (ID) plays a vital role in various applications, including photography, medical imaging, and surveillance. Traditional ID methods often face challenges in preserving fine details and handling complex blurring scenarios due to expensi
Externí odkaz:
https://doaj.org/article/370d7c04f1394a12bf225cddfe1659a3
Autor:
Cheng Wei, Liu Yi-Liang
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 475-493 (2023)
In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data. A condition
Externí odkaz:
https://doaj.org/article/8f40e529a78a4ce3af2992772c61ba65