Yingda Cheng

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 46

Top Topics

Multiresolution

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Sci. Comput.

Publications

Daniel Appelö, Yingda Cheng
Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations. CoRR (2024)
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) (2023)
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) (2023)
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) (2022)
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 (2022)
Andrés Galindo-Olarte, Juntao Huang, Jennifer K. Ryan, Yingda Cheng
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. CoRR (2022)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation. CoRR (2022)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A Reduced Basis Method for Radiative Transfer Equation. J. Sci. Comput. 91 (1) (2022)
Juntao Huang, Wei Guo, Yingda Cheng
Adaptive sparse grid discontinuous Galerkin method: review and software implementation. CoRR (2022)
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 (2021)
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 (2021)
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 (2021)
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 (2021)
Zhanjing Tao, Yan Jiang, Yingda Cheng
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. J. Comput. Phys. 433 (2021)
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) (2021)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A reduced basis method for radiative transfer equation. CoRR (2021)
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) (2021)
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 (2021)
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) (2020)
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 (2020)
Zhanjing Tao, Juntao Huang, Yuan Liu, Wei Guo, Yingda Cheng
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations. CoRR (2020)
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) (2020)
Wei Guo, Juntao Huang, Zhanjing Tao, Yingda Cheng
An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions. CoRR (2020)
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 (2020)
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. CoRR (2020)
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) (2020)
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)
Pei Fu, Yingda Cheng, Fengyan Li, Yan Xu
Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. J. Sci. Comput. 78 (2) (2019)
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 (2019)
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) (2019)
Zhanjing Tao, Yan Jiang, Yingda Cheng
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. CoRR (2019)
Zhanjing Tao, Wei Guo, Yingda Cheng
Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. X 3 (2019)
Anqi Chen, Fengyan Li, Yingda Cheng
An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension. J. Sci. Comput. 78 (2) (2019)
Yingda Cheng, Jing Huang, Xiaozhou Li, Liwei Xu
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem. CoRR (2019)
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 (2019)
Juntao Huang, Yingda Cheng
An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions. CoRR (2019)
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) (2018)
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) (2018)
Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing
stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86 (303) (2017)
Wei Guo, Yingda Cheng
An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions. SIAM J. Sci. Comput. 39 (6) (2017)
Yuan Liu, Yingda Cheng, Chi-Wang Shu
A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. J. Sci. Comput. 73 (2-3) (2017)
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) (2017)
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 (2017)
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. Math. Comput. 85 (301) (2016)
Zixuan Wang, Qi Tang, Wei Guo, Yingda Cheng
Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations. J. Comput. Phys. 314 (2016)
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)
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 (2015)
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 (2015)
Yingda Cheng, Zixuan Wang
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. 268 (2014)
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system. J. Comput. Phys. 256 (2014)
Yingda Cheng, Irene M. Gamba, Fengyan Li, Philip J. Morrison
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system. J. Comput. Phys. 279 (2014)
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
A discontinuous Galerkin scheme for front propagation with obstacles. Numerische Mathematik 126 (1) (2014)
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) (2013)
Yingda Cheng, Irene M. Gamba, Jennifer Proft
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Math. Comput. 81 (277) (2012)
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
A Discontinuous Galerkin Solver for Front Propagation. SIAM J. Sci. Comput. 33 (2) (2011)
Yingda Cheng, Irene M. Gamba, Kui Ren
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. J. Comput. Phys. 230 (9) (2011)
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) (2010)
Yingda Cheng, Chi-Wang Shu
Superconvergence and time evolution of discontinuous Galerkin finite element solutions. J. Comput. Phys. 227 (22) (2008)
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) (2008)
Yingda Cheng, Chi-Wang Shu
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. J. Comput. Phys. 223 (1) (2007)