Yingda Cheng

A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

Yingda Cheng, Chi‐Wang Shu · Mathematics of Computation · 2007 · 155 citations · Full text

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +12

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

Yingda Cheng, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 2010 · 132 citations

Numerical Analysis, Method Of Fundamental Solution, Linear Hyperbolic +13

A discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations

Yingda Cheng, Chi‐Wang Shu · Journal of Computational Physics · 2006 · 103 citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +6

Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system

Yingda Cheng, Andrew Christlieb, Xinghui Zhong · Journal of Computational Physics · 2013 · 73 citations · Full text

Numerical Analysis, Engineering, Vlasov–ampère System +4

A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices

Yingda Cheng, Irene M. Gamba, Armando Majorana et al. · Computer Methods in Applied Mechanics and Engineering · 2009 · 72 citations · Full text

Numerical Analysis, Discontinuous Galerkin Solver, Engineering +6