Yingda Cheng, Ph.D.

Affiliations: 
2007 Brown University, Providence, RI 
Area:
Mathematics
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"Yingda Cheng"

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Chi-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
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