兰州大学机构库

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求解一类拟逆正则化问题的数值计算方法 学位论文
理学学士, 兰州: 兰州大学, 2023
Authors:  李欣杭
Favorite  |    Submit date:2023/11/15
时间分数阶扩散波方程  time-fractional diffusion-wave equation  拟逆正则化方法  quasi-reversibility method  有限差分方法  finite difference method  有限元方法  finite element method  
The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain 期刊论文
JOURNAL OF ENGINEERING MATHEMATICS, 2011, 卷号: 71, 期号: 2, 页码: 157-170
Authors:  Liu, Ji-Chuan;  Wei, Ting
Adobe PDF(417Kb)  |  Favorite  |    Submit date:2015/12/16
Finite difference  III-posed problem  Method of lines  Multilayer domain  Quasi-reversibility method  
Determination of a part of boundary for the Cauchy problem for the Laplace equation 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2010, 卷号: 18, 期号: 4, 页码: 535-548
Authors:  Liu, Ji-Chuan;  Wei, Ting
Favorite  |    Submit date:2015/12/16
Cauchy problem  Laplace equation  quasi-reversibility method  the method of lines  boundary identification  
The method of lines for reconstructing a moving boundary in one-dimensional heat conduction problem 期刊论文
Computational Thermal Sciences, 2011, 卷号: 3, 期号: 2, 页码: 133-143
Authors:  Liu, Ji-Chuan;  Wei, T(魏婷);  Wei, T. (tingwei@lzu.edu.cn)
Favorite  |    Submit date:2016/07/28
Boundary identification  Finite difference  Ill posed problem  Method of lines  Quasi-reversibility method  
Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 卷号: 80, 期号: 2, 页码: 352-366
Authors:  Qin, Hai-Hua;  Wei, Ting
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Cauchy problem  Modified Helmholtz equation  Quasi-reversibility method  Truncation method  Convergence estimates  
Moving boundary identification for a two-dimensional inverse heat conduction problem 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 卷号: 19, 期号: 8, 页码: 1139-1154
Authors:  Liu, Ji-Chuan;  Wei, Ting
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two-dimensional heat conduction problem  quasi-reversibility method  method of lines  boundary identification  finite difference scheme  
A quasi-reversibility regularization method for an inverse heat conduction problem without initial data 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2013, 卷号: 219, 期号: 23, 页码: 10866-10881
Authors:  Liu, Ji-Chuan;  Wei, Ting
Adobe PDF(602Kb)  |  Favorite  |    Submit date:2015/12/16
Inverse heat conduction problem  Ill-posed problem  Temperature  Quasi-reversibility method  Method of lines  Convergence estimate  
Identifying an unknown source term in a heat equation 期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2009, 卷号: 17, 期号: 7, 页码: 901-913
Authors:  Dou, Fang-Fang;  Fu, Chu-Li;  Yang, Fan
Favorite  |    Submit date:2015/12/16
ill-posed problem  unknown source  regularization  quasi-reversibility method  
A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 卷号: 88, 期号: 4, 页码: 839-850
Authors:  Zhang, H. W.;  Qin, H. H.;  Wei, T.
Adobe PDF(609Kb)  |  Favorite  |    Submit date:2015/12/16
ill-posed problem  Cauchy problem  Helmholtz equation  quasi-reversibility regularization method  convergence estimates  
Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 20, 页码: 6139-6149
Authors:  Wang, Jun-Gang;  Wei, Ting
Favorite  |    Submit date:2017/01/12
Inverse problem  Fractional diffusion equation  Quasi-reversibility method  A priori parameter choice  A posteriori parameter choice