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ORCIDYingda Cheng
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2020 – today
- 2024
[i19]Daniel Appelö, Yingda Cheng:
Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations. CoRR abs/2402.05347 (2024)- [i18]Daniel Appelö, Yingda Cheng:
Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation. CoRR abs/2409.08898 (2024) - [i17]Shixu Meng, Daniel Appelö, Yingda Cheng:
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations. CoRR abs/2410.07465 (2024) - 2023
- [j44]Juntao Huang
, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts:
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds. J. Sci. Comput. 94(1): 7 (2023) - [j43]Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong:
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures. Multiscale Model. Simul. 21(2): 489-512 (2023) - 2022
- [j42]Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts:
Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure. J. Comput. Phys. 453: 110941 (2022) - [j41]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A Reduced Basis Method for Radiative Transfer Equation. J. Sci. Comput. 91(1): 5 (2022) - [j40]Juntao Huang, Yong Liu, Yuan Liu, Zhanjing Tao, Yingda Cheng:
A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations. SIAM J. Sci. Comput. 44(2): 745- (2022) - [i16]Andrés Galindo-Olarte, Juntao Huang, Jennifer K. Ryan, Yingda Cheng:
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. CoRR abs/2210.07908 (2022) - [i15]Juntao Huang, Wei Guo, Yingda Cheng:
Adaptive sparse grid discontinuous Galerkin method: review and software implementation. CoRR abs/2211.01531 (2022) - [i14]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation. CoRR abs/2211.04677 (2022) - 2021
- [j39]Zhanjing Tao, Yan Jiang, Yingda Cheng:
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. J. Comput. Phys. 433: 109770 (2021) - [j38]Wei Guo, Juntao Huang, Zhanjing Tao, Yingda Cheng:
An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions. J. Comput. Phys. 436: 110294 (2021) - [j37]Maohui Lyu, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions. J. Sci. Comput. 89(2): 45 (2021) - [j36]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. SIAM J. Numer. Anal. 59(2): 925-954 (2021) - [i13]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A reduced basis method for radiative transfer equation. CoRR abs/2103.07574 (2021) - [i12]Juntao Huang, Yong Liu, Yuan Liu, Zhanjing Tao, Yingda Cheng:
A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations. CoRR abs/2104.05523 (2021) - [i11]Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts:
Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure. CoRR abs/2105.05690 (2021) - [i10]Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong:
Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures. CoRR abs/2105.14410 (2021) - [i9]Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts:
Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds. CoRR abs/2109.00700 (2021) - 2020
- [j35]Zhichao Peng, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension. J. Comput. Phys. 402 (2020) - [j34]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. J. Comput. Phys. 415: 109485 (2020) - [j33]Anqi Chen, Yingda Cheng, Yong Liu, Mengping Zhang:
Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension. J. Sci. Comput. 82(1): 22 (2020) - [j32]Juntao Huang, Yuan Liu, Wei Guo, Zhanjing Tao, Yingda Cheng:
An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form. J. Sci. Comput. 85(1): 13 (2020) - [j31]Juntao Huang, Yingda Cheng:
An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions. SIAM J. Sci. Comput. 42(5): A2943-A2973 (2020) - [i8]Juntao Huang, Yuan Liu, Wei Guo, Zhanjing Tao, Yingda Cheng:
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form. CoRR abs/2004.08525 (2020) - [i7]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. CoRR abs/2005.05454 (2020) - [i6]Wei Guo, Juntao Huang, Zhanjing Tao, Yingda Cheng:
An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions. CoRR abs/2006.05250 (2020) - [i5]Zhanjing Tao, Juntao Huang, Yuan Liu, Wei Guo, Yingda Cheng:
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations. CoRR abs/2007.01471 (2020)
2010 – 2019
- 2019
- [j30]Yuan Liu, Yingda Cheng, Shanqin Chen, Yong-Tao Zhang:
Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. J. Comput. Phys. 388: 90-102 (2019) - [j29]Yan Jiang, Puttha Sakkaplangkul, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media. J. Comput. Phys. 394: 100-135 (2019) - [j28]Zhanjing Tao, Wei Guo, Yingda Cheng:
Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. X 3: 100022 (2019) - [j27]Anqi Chen, Fengyan Li, Yingda Cheng:
An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension. J. Sci. Comput. 78(2): 772-815 (2019) - [j26]Pei Fu, Yingda Cheng, Fengyan Li, Yan Xu:
Discontinuous Galerkin Methods with Optimal L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. J. Sci. Comput. 78(2): 816-863 (2019) - [j25]Zhanjing Tao, Anqi Chen, Mengping Zhang, Yingda Cheng:
Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions. SIAM J. Sci. Comput. 41(3): A1626-A1651 (2019) - [i4]Yingda Cheng, Jing Huang, Xiaozhou Li, Liwei Xu:
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem. CoRR abs/1903.01834 (2019) - [i3]Juntao Huang, Yingda Cheng:
An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions. CoRR abs/1906.00829 (2019) - [i2]Zhanjing Tao, Yan Jiang, Yingda Cheng:
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. CoRR abs/1912.03982 (2019) - 2018
- [j24]Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li, Puttha Sakkaplangkul:
High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension. J. Sci. Comput. 77(1): 330-371 (2018) - [j23]Ricardo J. Alonso, Véronique Bagland, Yingda Cheng, Bertrand Lods:
One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile. SIAM J. Math. Anal. 50(1): 1278-1321 (2018) - 2017
- [j22]Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li:
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media. J. Comput. Phys. 350: 420-452 (2017) - [j21]Yingda Cheng, Andrew J. Christlieb, Wei Guo, Benjamin W. Ong:
An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics. J. Sci. Comput. 71(3): 959-993 (2017) - [j20]Yuan Liu, Yingda Cheng, Chi-Wang Shu:
A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. J. Sci. Comput. 73(2-3): 1028-1071 (2017) - [j19]Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing:
L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86(303): 121-155 (2017) - [j18]Wei Guo, Yingda Cheng:
An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j17]Zixuan Wang, Qi Tang, Wei Guo, Yingda Cheng:
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. J. Comput. Phys. 314: 244-263 (2016) - [j16]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Math. Comput. 85(301): 2131-2159 (2016) - [j15]Wei Guo, Yingda Cheng:
A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations. SIAM J. Sci. Comput. 38(6) (2016) - 2015
- [j14]Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong:
Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability. J. Comput. Phys. 288: 66-85 (2015) - [i1]José A. Morales Escalante, Irene M. Gamba, Yingda Cheng, Armando Majorana, Chi-Wang Shu, James R. Chelikowsky:
Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures. CoRR abs/1512.05403 (2015) - 2014
- [j13]Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. J. Comput. Phys. 256: 630-655 (2014) - [j12]Yingda Cheng, Zixuan Wang:
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. 268: 134-153 (2014) - [j11]Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. 279: 145-173 (2014) - [j10]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin scheme for front propagation with obstacles. Numerische Mathematik 126(1): 1-31 (2014) - [j9]Yingda Cheng, Irene M. Gamba, Fengyan Li, Philip J. Morrison:
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. SIAM J. Numer. Anal. 52(2): 1017-1049 (2014) - 2013
- [j8]Yingda Cheng, Irene M. Gamba, Philip J. Morrison:
Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. J. Sci. Comput. 56(2): 319-349 (2013) - 2012
- [j7]Yingda Cheng, Irene M. Gamba, Jennifer Proft:
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Math. Comput. 81(277): 153-190 (2012) - 2011
- [j6]Yingda Cheng, Irene M. Gamba, Kui Ren:
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. J. Comput. Phys. 230(9): 3391-3412 (2011) - [j5]Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu:
A Discontinuous Galerkin Solver for Front Propagation. SIAM J. Sci. Comput. 33(2): 923-938 (2011) - 2010
- [j4]Yingda Cheng, Chi-Wang Shu:
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. SIAM J. Numer. Anal. 47(6): 4044-4072 (2010)
2000 – 2009
- 2008
- [j3]Yingda Cheng, Chi-Wang Shu:
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. J. Comput. Phys. 227(22): 9612-9627 (2008) - [j2]Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77(262): 699-730 (2008) - 2007
- [j1]Yingda Cheng, Chi-Wang Shu:
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. 223(1): 398-415 (2007)
Coauthor Index
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