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- Publications
- Influence

The Grünwald-Letnikov method for fractional differential equations

- R. Scherer, Shyam L. Kalla, Y. Tang, J. Huang
- Mathematics, Computer Science
- Comput. Math. Appl.
- 1 August 2011

This paper is devoted to the numerical treatment of fractional differential equations. Based on the Grunwald-Letnikov definition of fractional derivatives, finite difference schemes for the… Expand

Finite element method for two-dimensional space-fractional advection-dispersion equations

- Yanmin Zhao, W. Bu, J. Huang, D. Liu, Y. Tang
- Mathematics, Computer Science
- Appl. Math. Comput.
- 15 April 2015

The backward Euler and Crank-Nicolson-Galerkin fully-discrete approximate schemes for two-dimensional space-fractional advection-dispersion equations are established. Firstly, we prove that the… Expand

Symplectic and multi-symplectic methods for the nonlinear Schrodinger equation

- J. Chen, MengZhao Qin, Y. Tang
- Mathematics
- 1 April 2002

The Hamiltonian and the multi-symplectic formulations of the nonlinear Schrodinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent… Expand

Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

Abstract In this article, a class of two-dimensional Riesz space fractional diffusion equations is considered. Some fractional spaces are established and some equivalences between fractional… Expand

Convergence Analysis of a Block-by-block Method for Fractional Differential Equations

- J. Huang, Y. Tang, L. Vazquez
- Mathematics
- 1 May 2012

The block-by-block method, proposed by Linz for a kind of Volterra integral equations with nonsingular kernels, and extended by Kumar and Agrawal to a class of initial value problems of fractional… Expand

Mixed Finite Element Method for 2D Vector Maxwell's Eigenvalue Problem in Anisotropic Media

It is well known that the conventional edge element method in solving vector Maxwell's eigenvalue problem will lead to the presence of nonphysical zero eigenvalues. This paper uses the mixed flnite… Expand

Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations

In this paper, a class of two-dimensional space and time fractional Bloch-Torrey equations (2D-STFBTEs) are considered. Some definitions and properties of fractional derivative spaces are presented.… Expand

Finite element multigrid method for multi-term time fractional advection diffusion equations

- W. Bu, Xiangtao Liu, Y. Tang, Jiye Yang
- Mathematics, Computer Science
- Int. J. Model. Simul. Sci. Comput.
- 19 March 2015

In this paper, a class of multi-term time fractional advection diffusion equations (MTFADEs) is considered. By finite difference method in temporal direction and finite element method in spatial… Expand

Symplectic wavelet collocation method for Hamiltonian wave equations

- Huajun Zhu, L. Tang, S. Song, Y. Tang, D. Wang
- Mathematics, Computer Science
- J. Comput. Phys.
- 1 April 2010

This paper introduces a novel symplectic wavelet collocation method for solving nonlinear Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies compactly supported scaling… Expand

Spherical aberration effects in lens-axicon doublets: theoretical study.

- C. Parigger, Y. Tang, D. Plemmons, J. Lewis
- Medicine, Physics
- Applied optics
- 1 November 1997

Effects of spherical aberrations in converging and diverging lens-axicon doublets are investigated. Intensity profiles are obtained in the line and ring focal regions by numerically solving the… Expand