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An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients: An efficient multigrid solver for two-dimensional SFDEs Journal article
Applied Mathematics and Computation, 2021,Volume: 402
Authors:  Pan,Kejia;  Sun,Hai Wei;  Xu,Yuan;  Xu,Yufeng
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Biconjugate gradient stabilized method  Cascadic multigrid method  Fractional diffusion equations  Richardson extrapolation  Variable coefficients  
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations Journal article
Journal of Computational and Applied Mathematics, 2021,Volume: 389
Authors:  Zhang,Qifeng;  Zhang,Lu;  Sun,Hai wei
Favorite |  | TC[WOS]:1 TC[Scopus]:0 | Submit date:2021/03/09
Boundedness  Circulant preconditioner  Crank–Nicolson scheme  Space fractional Ginzburg–Landau equation  
Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations Journal article
Numerical Algorithms, 2020
Authors:  Lin,Fu Rong;  Wang,Qiu Ya;  Jin,Xiao Qing
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Accuracy  CN-WSGD scheme  Stability  Variable-order fractional derivative  
CRANK–NICOLSON ALTERNATIVE DIRECTION IMPLICIT METHOD FOR SPACE-FRACTIONAL DIFFUSION EQUATIONS WITH NONSEPARABLE COEFFICIENTS Journal article
SIAM Journal on Numerical Analysis, 2019,Volume: 57,Issue: 3,Page: 997-1019
Authors:  XUE-LEI LIN;  MICHAEL K. NG;  HAI-WEI SUN
Favorite |  | TC[WOS]:5 TC[Scopus]:5 | Submit date:2019/06/10
Nonseparable Variable Coefficients  Crank–nicolson Adi Methods  Space-fractional Diffusion Equations  Unconditional Stability Analysis  
An adaptive FEM with ITP approach for steady Schrödinger equation Journal article
International Journal of Computer Mathematics, 2018,Volume: 95,Issue: 1,Page: 187-201
Authors:  Kuang Y.;  Hu G.
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2019/02/13
finite element method  ground state  imaginary time propagation  moving mesh method  Schrödinger equation  
An adaptive FEM with ITP approach for steady Schrodinger equation Journal article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018,Volume: 95,Issue: 1,Page: 187-201
Authors:  Kuang, Yang;  Hu, Guanghui
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2018/10/30
Schrodinger Equation  Imaginary Time Propagation  Moving Mesh Method  Finite Element Method  Ground State  
Fast algorithms for high-order numerical methods for space-fractional diffusion equations Journal article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017,Volume: 94,Issue: 5,Page: 1062-1078
Authors:  Lei, Siu-Long;  Huang, Yun-Chi
Favorite |  | TC[WOS]:21 TC[Scopus]:23 | Submit date:2018/10/30
Fractional Diffusion Equation  Fourth-order Discretization  Boundary Value Method  Crank-nicolson Preconditioner  Block-circulant Preconditioner  Gmres Method  Circulant- And Skew-circulant Representation Of Toeplitz Matrix Inversion  
Preconditioned iterative methods for twodimensional space-fractional diffusion equations Journal article
Communications in Computational Physics, 2015,Volume: 18,Issue: 2,Page: 469-488
Authors:  Xiao-Qing Jin;  Fu-Rong Lin;  Zhi Zhao
Favorite |  | TC[WOS]:30 TC[Scopus]:32 | Submit date:2019/07/26
Fractional Diffusion Equation  Toeplitz Matrix  Fast Fourier Transform  Cn-wsgd Scheme  Preconditioned Gmres Method  Preconditioned Cgnr Method  
Real-time adaptive finite element solution of time-dependent Kohn-Sham equation Journal article
Journal of Computational Physics, 2015,Volume: 281,Page: 743-758
Authors:  Bao G.;  Hu G.;  Liu D.
Favorite |  | TC[WOS]:7 TC[Scopus]:7 | Submit date:2019/02/13
Crank-nicolson  Finite Element Methods  Mesh Adaptive Methods  Multigrid For Complex System  Time-dependent Kohn-sham  
Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations Journal article
Communications in Computational Physics, 2015,Volume: 18,Issue: 2,Page: 469-488
Authors:  Jin X.-Q.;  Lin F.-R.;  Zhao Z.
Favorite |  | TC[WOS]:30 TC[Scopus]:32 | Submit date:2019/02/11
CN-WSGD scheme  fast Fourier transform  Fractional diffusion equation  preconditioned CGNR method  preconditioned GMRES method  Toeplitz matrix