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Divide-and-Conquer Solver in Tensor-Train Format for d-Dimensional Time-Space Fractional Diffusion Equations Journal article
Huang,Yun Chi, Chou,Lot Kei, Lei,Siu Long. Divide-and-Conquer Solver in Tensor-Train Format for d-Dimensional Time-Space Fractional Diffusion Equations[J]. Journal of Scientific Computing, 2023, 96(1), 29.
Authors:  Huang,Yun Chi;  Chou,Lot Kei;  Lei,Siu Long
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.8/2.7 | Submit date：2023/08/03
Alternating Direction Implicit Scheme  Divide-and-conquer  High Dimension  Tensor-train Format  Time-space Fractional Diffusion Equations  
Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations Journal article
Chou, Lot Kei, Lei, Siu Long. Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations[J]. Computers and Mathematics with Applications, 2021, 89, 116-126.
Authors:  Chou, Lot Kei;  Lei, Siu Long
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.9/2.6 | Submit date：2021/12/07
Alternating Direction Implicit Scheme  Distributed-order  Finite Volume Approximation  High Dimensional  Tensor-train Format  
Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations Journal article
Huang,Yun Chi, Lei,Siu Long. Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations[J]. NUMERICAL ALGORITHMS, 2020, 84(1), 37-62.
Authors:  Huang,Yun Chi;  Lei,Siu Long
Favorite | TC[WOS]:10 TC[Scopus]:10  IF:1.7/1.9 | Submit date：2021/03/11
Time-space Fractional Differential Equations  Alternating Direction Implicit Scheme  Block Lower Triangular Toeplitz Matrix  Divide-and-conquer  Time-marching  
A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates Journal article
Vong,Seakweng, Wang,Zhibo. A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates[J]. Numerical Methods for Partial Differential Equations, 2015, 31(5), 1692-1712.
Authors:  Vong,Seakweng;  Wang,Zhibo
Favorite | TC[WOS]:5 TC[Scopus]:5  IF:2.1/2.8 | Submit date：2021/03/09
Alternating Direction Implicit Method  Compact Difference Scheme  Energy Method  Polar Coordinates  
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations Journal article
Li,Leonard Z., Sun,Hai Wei, Tam,Sik Chung. A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations[J]. Computer Physics Communications, 2015, 187, 38-48.
Authors:  Li,Leonard Z.;  Sun,Hai Wei;  Tam,Sik Chung
Favorite | TC[WOS]:23 TC[Scopus]:23 | Submit date：2019/05/27
Alternating Direction Implicit Method  Combined Compact Difference Scheme  Cubic Nonlinear  Schrödinger Equation  Solution Pattern  Unconditional Stability  Wave-like Motion  
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrodinger equations Journal article
Li, L.Z., Sun, H. W., Tam, S. C.. A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrodinger equations[J]. Computer Physics Communications, 2015, 38-48.
Authors:  Li, L.Z.;  Sun, H. W.;  Tam, S. C.
Favorite | TC[WOS]:23 TC[Scopus]:23  IF:7.2/6.6 | Submit date：2022/07/25
Cubic Nonlinear Schrodinger Equation  Combined Compact Difference Scheme  Alternating Direction Implicit Method  Unconditional Stability  Solution Pattern  
A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates Journal article
Vong S., Wang Z.. A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates[J]. Numerical Methods for Partial Differential Equations, 2015, 31(5), 1692-1712.
Authors:  Vong S.;  Wang Z.
Favorite | TC[WOS]:5 TC[Scopus]:5 | Submit date：2018/12/24
Alternating Direction Implicit Method  Compact Difference Scheme  Energy Method  Polar Coordinates  
A CCD-ADI method for unsteady convection-diffusion equations Journal article
Sun,Hai Wei, Li,Leonard Z.. A CCD-ADI method for unsteady convection-diffusion equations[J]. Computer Physics Communications, 2014, 185(3), 790-797.
Authors:  Sun,Hai Wei;  Li,Leonard Z.
Favorite | TC[WOS]:33 TC[Scopus]:39 | Submit date：2019/05/27
Alternating Direction Implicit Method  Combined Compact Difference Scheme  Unconditionally Stable  Unsteady Convection-diffusion Equation  
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]:33 TC[Scopus]:32 | Submit date：2018/12/24
Alternating Direction Implicit (Adi) Method  Convergence  High Order Compact Exponential Difference Scheme  Two Dimensional Fractional Convection-diffusion Equation