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Publications

In preparation:

1.      H. Huang and J. Yan, High order symmetric DDG methods for elliptic interface problems, in preparation.

2.      J. Yan, Third order positivity-preserving DDGIC and symmetric DDG methods for chemotaxis Keller-Segel equations, in preparation.

3.      H. Huang, X. Zhong and J. Yan, DDGIC and symmetric DDG methods for chemotaxis Keller-Segel equations, in preparation.

 

Submitted or appeared:

1.      M. Zhang and J. Yan, Fourier type super convergence study on DDGIC and symmetric DDG methods, Journal of Scientific Computing, Volume 73, Issues 2-3 (2017),1276-1289.

2.    H. Huang, Z. Chen, J. Li and J. Yan, Direct discontinuous Galerkin method and its variations for second order elliptic equations, Journal of Scientific Computing, Volume 70, Issue 2 (2017), 744-765.

3.     Z. Chen, H. Huang and J. Yan, Third order Maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes, Journal of Computational Physics, 308 (2016), 198-217.

4.     J. Yan, Maximum Principle Satisfying Direct discontinuous Galerkin method and its vairation for convection diffusion equations, Communications in Computational Physics, submitted.

5.     J. Yan, A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations, Journal of Scientific Computing, Volume 54, Issue 2-3 (2013), 663-683.

6.      C. Vidden and J. Yan, A new Direct discontinuous Galerkin method with symmetric structure for nonlinear diffusion problems, Journal of Computational Mathematics, Vol. 31, No.6, 2013, 638-662.

7.      M. Zhang and J. Yan, Fourier type error analysis of the Direct discontinuous Galerkin method and its variations for diffusion problems, Journal of Scientific Computing, Volume 52, Number 3, 2012, 638-655.

8.     J. Yan and S. Osher, A new discontinuous Galerkin method for Hamilton-Jacobi Equations, Journal of Computational Physics, Volume 230, Issue 1, (2011), 232-244.

9.      H. Liu and J. Yan, The direct discontinuous Galerkin (DDG) methods for diffusion with interface corrections, Communications in Computational Physics, Vol. 8, No. 3(2010), 541-564.

10.   H. Liu and J. Yan, The direct discontinuous Galerkin (DDG) methods for diffusion problems, SIAM Journal on Numerical Analysis, 47, No 1(2009), 675--698.

11.   H. Liu and J. Yan, A local discontinuous Galerkin method for the KdV equation with boundary effect, Journal of Computational Physics, 215, No 1(2006), 197-218.

12.   D. Levy, C.-W. Shu and J. Yan, Local discontinuous Galerkin methods for nonlinear dispersive equations, Journal of Computational Physics, 196, No 2(2004), 751-772.

13.   J. Yan and C.-W. Shu, Local discontinuous Galerkin methods for partial differential equations with higher order derivatives, Journal of Scientific Computing, 17, No 1(2002), 27-47.

14.   J. Yan and C.-W. Shu, A local discontinuous Galerkin method for KdV-type equations, SIAM Journal on Numerical Analysis, 40, No 2(2002), 769—791.

 

Non-refereed Papers/Reports:

· J. Yan and S. Osher, Discontinuous Galerkin level set method for interface capturing, UCLA report, 2005.