Journal Papers
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 , submitted to Journal of Computational
Electronics.
4. Y. Cheng and C.-W. Shu, Superconvergence and time evolution of discontinuous Galerkin finite element solutions, submitted to Journal of Computational Physics.
5. Y. Cheng and C.-W. Shu, Superconvergence of local discontinuous Galerkin methods for convection-diffusion equations , submitted to Computers and Structures.
Conference Papers
1. 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