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Tensor-Train Format Solution with Preconditioned Iterative Method for High Dimensional Time-Dependent Space-Fractional Diffusion Equations with Error Analysis Journal article
Chou,Lot Kei, Lei,Siu Long. Tensor-Train Format Solution with Preconditioned Iterative Method for High Dimensional Time-Dependent Space-Fractional Diffusion Equations with Error Analysis[J]. Journal of Scientific Computing, 2019, 80(3), 1731-1763.
Authors:  Chou,Lot Kei;  Lei,Siu Long
Favorite | TC[WOS]:4 TC[Scopus]:5  IF:2.8/2.7 | Submit date：2021/03/11
High Dimensional Fractional Diffusion Equation  Krylov Subspace Method  Preconditioner  Tensor-train Decomposition  
Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis Journal article
Chou, Lot Kei, Lei, Siu Long. Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis[J]. Journal of Scientific Computing, 2019, 80, 1731-1763.
Authors:  Chou, Lot Kei;  Lei, Siu Long
Favorite | TC[WOS]:4 TC[Scopus]:5  IF:2.8/2.7 | Submit date：2022/08/23
High Dimensional Fractional Diffusion Equation  Tensor-train Decomposition  Krylov Subspace Method  Preconditioner  
Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy Journal article
Chou, Lot-Kei, Lei, Siu-Long. Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73(3), 385-403.
Authors:  Chou, Lot-Kei;  Lei, Siu-Long
Favorite | TC[WOS]:18 TC[Scopus]:18  IF:2.9/2.6 | Submit date：2018/10/30
High Dimensional Two-sided Fractional Diffusion Equation  Alternating Direction Implicit Method  Approximate Inverse Preconditioner  Krylov Subspace Method  Superlinear Convergence  Fast Fourier Transform  
Multilevel circulant preconditioner for high-dimensional fractional diffusion equations Journal article
Lei S.-L., Chen X., Zhang X.. Multilevel circulant preconditioner for high-dimensional fractional diffusion equations[J]. East Asian Journal on Applied Mathematics, 2016, 6(2), 109-130.
Authors:  Lei S.-L.;  Chen X.;  Zhang X.
Favorite | TC[WOS]:29 TC[Scopus]:29 | Submit date：2019/02/14
Gmres Method  High-dimensional Two-sided Fractional Diffusion Equation  Implicit Finite Difference Method  Multilevel Circulant Preconditioner  Unconditionally Stable  
A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations Journal article
Wang Z., Vong S.. A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations[J]. Computers and Mathematics with Applications, 2014, 68(3), 185-196.
Authors:  Wang Z.;  Vong S.
Favorite | TC[WOS]:31 TC[Scopus]:31 | Submit date：2018/12/24
Alternating Direction Implicit (Adi) Method  Convergence  High Order Compact Exponential Difference Scheme  Two Dimensional Fractional Convection-diffusion Equation