Yingda Cheng, Ph.D.
Affiliations: | 2007 | Brown University, Providence, RI |
Area:
MathematicsGoogle:
"Yingda Cheng"Parents
Sign in to add mentorChi-Wang Shu | grad student | 2007 | Brown | |
(Discontinuous Galerkin methods for Hamilton -Jacobi equations and equations with higher order derivatives.) |
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Publications
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Peng Z, Cheng Y, Qiu J, et al. (2020) Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling Journal of Computational Physics. 415: 109485 |
Peng Z, Bokil VA, Cheng Y, et al. (2020) Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension Journal of Computational Physics. 402: 109101 |
Chen A, Cheng Y, Liu Y, et al. (2020) Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension Journal of Scientific Computing. 82: 22 |
Tao Z, Chen A, Zhang M, et al. (2019) Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions Siam Journal On Scientific Computing. 41 |
Tao Z, Guo W, Cheng Y. (2019) Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system Journal of Computational Physics. 3: 100022 |
Jiang Y, Sakkaplangkul P, Bokil VA, et al. (2019) Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media Journal of Computational Physics. 394: 100-135 |
Liu Y, Cheng Y, Chen S, et al. (2019) Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations Journal of Computational Physics. 388: 90-102 |
Chen A, Li F, Cheng Y. (2019) An Ultra-Weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension Journal of Scientific Computing. 78: 772-815 |
Fu P, Cheng Y, Li F, et al. (2019) Discontinuous Galerkin Methods with Optimal \(L^2\) Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives Journal of Scientific Computing. 78: 816-863 |
Alonso RJ, Bagland V, Cheng Y, et al. (2018) One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile Siam Journal On Mathematical Analysis. 50: 1278-1321 |