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Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 423
Authors:  Gan, Di;  Zhang, GF(张国凤)
Favorite  |    Submit date:2023/01/03
Diffusion  Finite difference method  Inverse problems  Linear systems  Matrix algebra  Numerical methods  Partial differential equations  Alternating direction implicit  Alternating-direction implicit method  Approximate inverse preconditioner  Fractional diffusion equation  High-dimensional  High-dimensional fractional diffusion equation  Higher-dimensional  Krylov-subspace methods  Toeplitz matrices  Variable diffusion coefficient  High-dimensional fractional diffusion  equations  Alternating direction implicit method  Toeplitz matrix  Fast Fourier transform  Krylov subspace 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  
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  
Inversion of the Initial Value for a Time-Fractional Diffusion-Wave Equation by Boundary Data 期刊论文
Computational Methods in Applied Mathematics, 2020, 卷号: 20, 期号: 1, 页码: 109-120
Authors:  Jiang, Suzhen;  Liao, Kaifang;  Wei, Ting
Favorite  |    Submit date:2020/08/20
Fractional Diffusion-Wave Equation  Inverse Initial Value Problem  Uniqueness  Numerical Method  Diffusion  Initial value problems  Laplace transforms  Metadata  Numerical methods  Wave equations  Analytic continuation  Finite dimensional approximation  Fractional diffusion  Laplace transformations  Multi dimensional  Optimization problems  Time-fractional diffusion  
Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 404
Authors:  Wei, T(魏婷);  Xian, Jun
Favorite  |    Submit date:2021/12/14
Diffusion  Integralequations  Inverseproblems  Waveequations  Conditionalstability  Convergenceanalysis  Diffusionwaveequation  Gradient'smethods  Identificationofzeroth  ordercoefficient  Time  fractionaldiffusion  Time  fractionaldiffusion  waveequation  Two  point  Two  pointgradientmethod  Uniquenessandconditionalstability  Time-fractional diffusion-wave equation  Identification of zeroth-order coefficient  Uniqueness and conditional stability  Two-point gradient method  Convergence analysis  Integral equations  Inverse problems  Wave equations  Conditional stability  Diffusion wave equation  Gradient's methods  Time-fractional diffusion  Two-point  
Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 404
Authors:  Wei, T(魏婷);  Xian, Jun
Favorite  |    Submit date:2023/01/03
Inverse problems  Diffusion  Integral equations  Wave equations  Conditional stability  Convergence analysis  Diffusion wave equation  Gradient's methods  Identification of zeroth-order coefficient  Time-fractional diffusion  Time-fractional diffusion-wave equation  Two-point  Two-point gradient method  Uniqueness and conditional stability  
Dramatically promoted photocatalytic water splitting over InVO4 via extending hole diffusion length by surface polarization 期刊论文
CHEMICAL ENGINEERING JOURNAL, 2022, 卷号: 435
Authors:  Yue, Shuai;  Hu, Weijie;  Wang, Jing;  Sun, Mengdi;  Huang, Zhiyong;  Xie, MZ(谢明政);  Yu, Yanling
Favorite  |    Submit date:2022/05/12
Surface polarization  InVO4  Overall water splitting  Photogenerated holes  Diffusion length  Diffusion  Hydrogen production  Oxygen  Polarization  Water absorption  Hole diffusion length  Photocatalytic water splitting  Short diffusion lengths  Strong absorptions  Surface polarizations  Visible light region  Water splitting  
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 卷号: 46, 期号: 1, 页码: 142-166
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2022/07/25
Nesterov strategy  steepest descent method  time-fractional reaction-diffusion-wave equation  uniqueness  zeroth-order coefficient and fractional order  Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Reaction-diffusion waves  Steepest-descent method  Time-fractional reaction-diffusion-wave equation  Uniqueness  Variational problems  Zeroth-order coefficient and fractional order  
An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 429
Authors:  Zhang, ZQ(张正强);  Guo, Shimin;  Zhang, YX(张远祥)
Favorite  |    Submit date:2023/09/04
Diffusion  Inverse problems  Numerical methods  Parameterization  Wave equations  Acceleration strategies  Convergence rates  Dependent sources  Diffusion wave equation  Ill posed  Inverse source problem  Posteriori  Source terms  Time-fractional diffusion  Time-fractional diffusion-wave equation  Iterative method  Convergence rate  
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:2022/11/08
Diffusion  Finite difference method  Wave equations  Fredholm integral equations  Convolution  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