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Yingda Cheng
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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
1702008
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
1462010
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
1322007
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
812009
Superconvergence and time evolution of discontinuous Galerkin finite element solutions
Y Cheng, CW Shu
Journal of Computational Physics 227 (22), 9612-9627, 2008
802008
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
762014
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
722013
Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampčre system
Y Cheng, AJ Christlieb, X Zhong
Journal of Computational Physics 256, 630-655, 2014
562014
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
502016
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
492012
Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Elliptic Equations
Z Wang, Q Tang, W Guo, Y Cheng
arXiv preprint arXiv:1508.07781, 2015
482015
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
452017
Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system
Y Cheng, AJ Christlieb, X Zhong
Journal of Computational Physics 279, 145-173, 2014
432014
Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations
Y Cheng, CW Shu
Computers & Structures 87 (11-12), 630-641, 2009
382009
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
352014
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
332011
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
322017
L2 Stable Discontinuous Galerkin Methods for One-dimensional Two-way Wave Equations
Y Cheng, CS Chou, F Li, Y Xing
29*2014
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
272022
Discontinuous Galerkin solver for Boltzmann-Poisson transients
Y Cheng, IM Gamba, A Majorana, CW Shu
Journal of Computational Electronics 7, 119-123, 2008
272008
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