- Publications in Referred Journals
1. Y. Cheng and C.-W. Shu, A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations , Journal of Computational Physics, v223 (2007), pp.398-415.
2. Y. Cheng and C.-W. Shu, A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives , Mathematics of Computation, v77 (2008), pp.699-730.
3. Y. Cheng, I.M. Gamba, A. Majorana and C.-W. Shu, Discontinuous Galerkin solver for Boltzmann-Poisson transients , Journal of Computational Electronics, v7 (2008), pp.119-123.
4. Y. Cheng and C.-W. Shu, Superconvergence and time evolution of discontinuous Galerkin finite element solutions , Journal of Computational Physics, v227 (2008), pp.9612-9627.
5. Y. Cheng and C.-W. Shu, Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations , Computers and Structures, v87 (2009), pp.630-641.
6. Y. Cheng, I.M. Gamba, A. Majorana and C.-W. Shu, A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano devices , Computer Methods in Applied Mechanics and Engineering, to appear.
7. Y. Cheng and C.-W. Shu, Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection diffusion equations in one space dimension , SIAM Journal on Numerical Analysis, to appear.
Publications in Conference Proceedings
8. Y. Cheng, I.M. Gamba, A. Majorana and C.-W. Shu, Discontinuous Galerkin solver for semiconductor Boltzmann equation , Simulations of Semiconductor Processes and
Devices, Vol 12, Springer Wien New York, Edited by T. Grasser and S. Selberherr September 2007; 257-260 (2007).
9. Y. Cheng, I.M. Gamba, A. Majorana and C.-W. Shu, A discontinuous Galerkin solver for full-band Boltzmann-Poisson models , the Proceeding of IWCE13, pp.211-214.