Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Xiang-Tuan Xiong"'
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1743-1753 (2021)
Picard-type methods are efficient methods for solving the absolute value equation Ax−|x|=b. To further improve the performance of Picard iteration method, a new inexact Picard iteration method, named Picard-SHSS iteration method, is proposed to sol
Externí odkaz:
https://doaj.org/article/f788211714474feea969e1d7971c3955
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 8, Pp 1221-1237 (2005)
We consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend continuously on the data. A generalized Tikhonov regul
Externí odkaz:
https://doaj.org/article/f26105516d8941d397fe987b2c12210e
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 3, Pp 393-400 (2005)
We consider an inverse heat conduction problem (IHCP) in a quarter plane. We want to know the distribution of surface temperature in a body from a measured temperature history at a fixed location inside the body. This is a severely ill-posed problem
Externí odkaz:
https://doaj.org/article/18744e59e10340ee8d1fa939b4579070
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
We introduce a central difference method for a backward heat conduction problem (BHCP). Error estimates for this method are provided together with a selection rule for the regularization parameter (the space step length). A numerical experiment is pr
Externí odkaz:
https://doaj.org/article/2295c0483c1742249571a1520776b759
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 5909-5923 (2021)
In this paper, we consider a nonlinear inverse problem of recovering two fractional orders and a diffusion coefficient in a one-dimensional time-space fractional diffusion equation. The uniqueness of fractional orders and the diffusion coefficient, c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f095f38a98033b5fb5a4d2b13049a325
http://www.aimspress.com/article/doi/10.3934/math.2021350?viewType=HTML
http://www.aimspress.com/article/doi/10.3934/math.2021350?viewType=HTML
Publikováno v:
Applied Numerical Mathematics. 160:217-241
In this paper, we focus on a backward problem for an inhomogeneous time-fractional diffusion equation on a spherical symmetric domain. This problem is ill-posed in the sense of Hadamard. We propose an iterated fractional Tikhonov regularization metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f0667ec441772f28ad2ac8ece5627f9
https://doi.org/10.1016/j.apnum.2020.10.008
https://doi.org/10.1016/j.apnum.2020.10.008
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1743-1753 (2021)
Picard-type methods are efficient methods for solving the absolute value equation $ Ax-|x| = b $. To further improve the performance of Picard iteration method, a new inexact Picard iteration method, named Picard-SHSS iteration method, is proposed to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5056254c09befa945527c9a9ff11fcce
https://doi.org/10.3934/math.2021104
https://doi.org/10.3934/math.2021104
Publikováno v:
Applied Numerical Mathematics. 138:1-18
We consider two inverse source problems for the radially symmetric and axis-symmetric heat conduction equations. The source terms depend on the space variables. By a transformation, the original inverse source problems can be transferred to nonlocal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a19b5f31db39baa7ea7f3eac4c6f712a
https://doi.org/10.1016/j.apnum.2018.12.013
https://doi.org/10.1016/j.apnum.2018.12.013
A regularization framework for mildly ill-posed problems connected with pseudo-differential operator
Publikováno v:
Journal of Computational and Applied Mathematics. 341:1-11
Recently filter-based regularization methods have been well investigated for ill-posed problems when the forward operators are compact. There are many ill-posed problems connected with pseudo-differential operators. But there is no uniform method for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9c3e3fb26648c42d3fd14b025a988f2
https://doi.org/10.1016/j.cam.2018.03.009
https://doi.org/10.1016/j.cam.2018.03.009
Autor:
Xiang-Tuan Xiong, Qiang Cheng
Publikováno v:
Journal of Computational and Applied Mathematics. 327:127-140
We consider the problem of numerical analytic continuation of an analytic function f ( z ) = f ( x + i y ) on a strip domain Ω + = { z = x + i y ∈ C | x ∈ R , 0 y y 0 } , where the data is given approximately only on the line y = 0 . This is a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06645ada8563a89353b13afc6ebb844d
https://doi.org/10.1016/j.cam.2017.06.014
https://doi.org/10.1016/j.cam.2017.06.014