兰州大学机构库

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Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model 期刊论文
Journal of Inverse and Ill-Posed Problems, 2022, 卷号: 30, 期号: 6, 页码: 791-805
Authors:  Sun, Liangliang;  Yan, Xiongbin;  Liao, Kaifang
Favorite  |    Submit date:2022/11/08
Diffusion  Inverse problems  Iterative methods  Partial differential equations  Determination of fractional order  Fractional diffusion equation  Fractional order  Inverse source problem  Iterative Tikhonov regularization  Modified non-stationary iterative tikhonov regularization method  Nonstationary  Source terms  Tikhonov regularization method  Uniqueness  inverse source problem  fractional diffusion equation  uniqueness  modified non-stationary iterative Tikhonov regularization method  
A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4
Authors:  Wei, T(魏婷);  Luo, Yuhua
Favorite  |    Submit date:2022/07/01
Convolution  Diffusion  Integral equations  Inverse problems  Wave equations  Boundary values  Convergence rates  Diffusion wave equation  Finite-difference algorithms  Generalized quasi-boundary value regularization method  Hilbert scale  Inverse source problem  Regularization methods  Time-fractional diffusion  Time-fractional diffusion-wave equation  time-fractional diffusion-wave equation  inverse source problem  generalized quasi-boundary value regularization method  finite difference algorithms  convergence rate  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, Zheng-qiang;  Wei, Ting
Favorite  |    Submit date:2023/01/03
Nonlinear equations  Wave equations  Fixed point arithmetic  Iterative methods  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  
The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem 期刊论文
Journal of Applied Mathematics and Computing, 2013, 卷号: 41, 期号: 1-2, 页码: 81-98
Authors:  Yang, Fan;  Fu, Chu-Li;  Yang, F. (yfggd114@163.com)
Favorite  |    Submit date:2016/07/28
Conditional stability  Error estimates  Heat sources  Numerical example  Parabolic Equations  Regularization methods  Tikhonov regularization  Tikhonov regularization method  Time-dependent heat source  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, ZQ(张正强);  Wei, T(魏婷)
Favorite  |    Submit date:2022/07/01
Inverse problems  Iterative methods  Nonlinear equations  Wave equations  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  Fixed point arithmetic  
有界区域上反向热传导问题的三种正则化方法及算法 学位论文
理学硕士, 兰州: 兰州大学, 2007
Authors:  韦秋凤
Favorite  |    Submit date:2023/11/15
反向热传导问题  Backward heat conduction problem  不适定问题  Ill-posed problem  Lanweber迭代正则化方法  Landweber iteration regularization method  Tikhonov正则化方法  Tikhonov regularization method  截断正则化方法  Truncated regular- ization method  误差估计  Error estimate  
图像恢复和低秩张量填充问题的优化模型和算法研究 学位论文
理学博士, 兰州: 兰州大学, 2023
Authors:  Rong Li
Favorite  |    Submit date:2023/11/15
图像恢复, 正则化模型, 空间适应参数, 张量填充, 全变分正则化, 优化算法, 重叠群稀疏先验  Image restoration  regularization model  spatially adapted parameters  tensor completion  total variation regularization  optimization algorithm  overlapping group sparse prior  
A matrix rank minimization-based regularization method for image restoration 期刊论文
DIGITAL SIGNAL PROCESSING, 2022, 卷号: 130
Authors:  Yan, Hui-Yin;  Huang, YM(黄玉梅);  Yu, Yongchao
Favorite  |    Submit date:2022/11/08
Equations of motion  Image enhancement  Numerical methods  Restoration  Alternating method  Images processing  Kudyka-&lstrok  ojasiewicz property  Matrix rank  Matrix rank minimizations  Minimization methods  Property  Proximal alternating method  Rank minimizations  Regularization methods  Image restoration  Regularization method  Rank minimization  Kudyka-Lojasiewicz property  
EFFICIENT PRECONDITIONING for TIME FRACTIONAL DIFFUSION INVERSE SOURCE PROBLEMS 期刊论文
SIAM Journal on Matrix Analysis and Applications, 2021, 卷号: 41, 期号: 4, 页码: 1857-1888
Authors:  Ke, Rihuan;  Ng, Michael K.;  Wei, Ting
Favorite  |    Submit date:2021/06/18
Boundary value methods  Inverse source problem  Numerical experiments  Preconditioning techniques  Regularization parameters  Schur complement  Time fractional diffusion equation  Time-fractional diffusion  Boundary value methods  Inverse source problem  Numerical experiments  Preconditioning techniques  Regularization parameters  Schur complement  Time fractional diffusion equation  Time-fractional diffusion  
Two approximate methods of a Cauchy problem for the Helmholtz equation 期刊论文
Computational and Applied Mathematics, 2007, 卷号: 26, 期号: 2, 页码: 285-307
Authors:  Xiong, Xiang-Tuan;  Fu, CL(傅初黎)
Favorite  |    Submit date:2015/12/16
inverse problems  Helmholtz equation  spectral regularization  Tikhonov regularization  error estimate