A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives Y Cheng, CW Shu Mathematics of computation 77 (262), 699-730, 2008 | 170 | 2008 |
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension Y Cheng, CW Shu SIAM Journal on Numerical Analysis 47 (6), 4044-4072, 2010 | 147 | 2010 |
A discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations Y Cheng, CW Shu Journal of Computational Physics 223 (1), 398-415, 2007 | 131 | 2007 |
A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices Y Cheng, IM Gamba, A Majorana, CW Shu Computer Methods in Applied Mechanics and Engineering 198 (37-40), 3130-3150, 2009 | 80 | 2009 |
Superconvergence and time evolution of discontinuous Galerkin finite element solutions Y Cheng, CW Shu Journal of Computational Physics 227 (22), 9612-9627, 2008 | 80 | 2008 |
Discontinuous Galerkin methods for the Vlasov--Maxwell equations Y Cheng, IM Gamba, F Li, PJ Morrison SIAM Journal on Numerical Analysis 52 (2), 1017-1049, 2014 | 76 | 2014 |
Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems Y Cheng, IM Gamba, PJ Morrison Journal of Scientific Computing 56, 319-349, 2013 | 73 | 2013 |
Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system Y Cheng, AJ Christlieb, X Zhong Journal of Computational Physics 256, 630-655, 2014 | 55 | 2014 |
A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations W Guo, Y Cheng SIAM Journal on Scientific Computing 38 (6), A3381-A3409, 2016 | 53 | 2016 |
Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Elliptic Equations Z Wang, Q Tang, W Guo, Y Cheng arXiv preprint arXiv:1508.07781, 2015 | 49 | 2015 |
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations Y Cheng, I Gamba, J Proft Mathematics of Computation 81 (277), 153-190, 2012 | 49 | 2012 |
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media VA Bokil, Y Cheng, Y Jiang, F Li Journal of Computational Physics 350, 420-452, 2017 | 47 | 2017 |
Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system Y Cheng, AJ Christlieb, X Zhong Journal of Computational Physics 279, 145-173, 2014 | 43 | 2014 |
Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations Y Cheng, CW Shu Computers & Structures 87 (11-12), 630-641, 2009 | 37 | 2009 |
A new discontinuous Galerkin finite element method for directly solving the Hamilton–Jacobi equations Y Cheng, Z Wang Journal of Computational Physics 268, 134-153, 2014 | 34 | 2014 |
An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions W Guo, Y Cheng SIAM Journal on Scientific Computing 39 (6), A2962-A2992, 2017 | 33 | 2017 |
A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations Y Cheng, IM Gamba, A Majorana, CW Shu SeMA Journal 54 (1), 47-64, 2011 | 32 | 2011 |
L2 Stable Discontinuous Galerkin Methods for One-dimensional Two-way Wave Equations Y Cheng, CS Chou, F Li, Y Xing | 29* | 2014 |
Discontinuous galerkin solver for Boltzmann-poisson transients Y Cheng, IM Gamba, A Majorana, CW Shu Journal of Computational Electronics 7, 119-123, 2008 | 27 | 2008 |
Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure J Huang, Y Cheng, AJ Christlieb, LF Roberts Journal of Computational Physics 453, 110941, 2022 | 26 | 2022 |