Yingda Cheng

发表

An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form

Wei Guo, Juntao Huang, Yuan Liu, 2020, Journal of Scientific Computing.

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2007, Journal of Computational Physics.

Convergence of discontinuous Galerkin schemes for front propagation with obstacles

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2014, Math. Comput..

Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems

Yingda Cheng, Irene M. Gamba, Philip J. Morrison, 2012, J. Sci. Comput..

An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics

Yingda Cheng, Andrew J. Christlieb, Wei Guo, 2016, 2016 IEEE International Conference on Plasma Science (ICOPS).

Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures pdf

Chi-Wang Shu, Yingda Cheng, James R. Chelikowsky, 2015, ArXiv.

A Particle Interaction Model for the Simulation of Biological, Cross-Linked Fiber Networks Inspired From flocking Theory

Yingda Cheng, Ricardo J. Alonso, Jennifer L. Young, 2014 .

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions pdf

Wei Guo, Juntao Huang, Zhanjing Tao, 2020, ArXiv.

Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations

Yingda Cheng, Irene M. Gamba, Jennifer Proft, 2012, Math. Comput..

A discontinuous Galerkin scheme for front propagation with obstacles

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2014, Numerische Mathematik.

An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension

Anqi Chen, Yingda Cheng, Fengyan Li, 2018, Journal of Scientific Computing.

An adaptive high-order piecewise polynomial based sparse grid collocation method with applications pdf

Yan Jiang, Zhanjing Tao, Yingda Cheng, 2019, J. Comput. Phys..

Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system

Wei Guo, Zhanjing Tao, Yingda Cheng, 2019, J. Comput. Phys. X.

High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension

Yan Jiang, Yingda Cheng, Fengyan Li, 2018, J. Sci. Comput..

Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations

Yingda Cheng, Fengyan Li, Irene M. Gamba, 2013, SIAM J. Numer. Anal..

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

Yingda Cheng, Yong-Tao Zhang, Shanqin Chen, 2018, J. Comput. Phys..

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations

Yuan Liu, Chi-Wang Shu, Yingda Cheng, 2017, J. Sci. Comput..

Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability

Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong, 2014, J. Comput. Phys..

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2008, J. Comput. Phys..

An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem pdf

Jing Huang, Liwei Xu, Yingda Cheng, 2019, ArXiv.

An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions

Juntao Huang, Yingda Cheng, Juntao Huang, 2019, SIAM J. Sci. Comput..

A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2007, Math. Comput..

Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media

Yan Jiang, Yingda Cheng, Fengyan Li, 2017, J. Comput. Phys..

Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension

Anqi Chen, Yingda Cheng, Mengping Zhang, 2019, J. Sci. Comput..

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system

Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong, 2013, J. Comput. Phys..

Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system

Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong, 2014, J. Comput. Phys..

Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions

Anqi Chen, Zhanjing Tao, Yingda Cheng, 2018, SIAM J. Sci. Comput..

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2010, SIAM J. Numer. Anal..

L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

Yulong Xing, Yingda Cheng, Fengyan Li, 2016, Math. Comput..

Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model

Yingda Cheng, Irene M. Gamba, Kui Ren, 2011, J. Comput. Phys..

One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile

Bertrand Lods, Yingda Cheng, Ricardo J. Alonso, 2018, SIAM J. Math. Anal..

An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations

Wei Guo, Juntao Huang, Yuan Liu, 2020, Communications on Applied Mathematics and Computation.

A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Yingda Cheng, Zixuan Wang, Yingda Cheng, 2013, J. Comput. Phys..

Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension

Zhichao Peng, Yingda Cheng, Fengyan Li, 2020, J. Comput. Phys..

Discontinuous Galerkin Methods with Optimal $$L^2$$L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives

Yan Xu, Yingda Cheng, Fengyan Li, 2018, J. Sci. Comput..

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations

Wei Guo, Yingda Cheng, Qi Tang, 2015, J. Comput. Phys..

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling

Zhichao Peng, Yingda Cheng, Fengyan Li, 2020, J. Comput. Phys..

An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

Wei Guo, Yingda Cheng, 2017, SIAM J. Sci. Comput..

A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

Wei Guo, Yingda Cheng, Wei Guo, 2016, SIAM J. Sci. Comput..

A Discontinuous Galerkin Solver for Front Propagation

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2011, SIAM J. Sci. Comput..

Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media

Yingda Cheng, Fengyan Li, Vrushali A. Bokil, 2018, J. Comput. Phys..

Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure pdf

Juntao Huang, Yingda Cheng, Andrew J. Christlieb, 2021, J. Comput. Phys..

Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds pdf

Juntao Huang, Yingda Cheng, Andrew J. Christlieb, 2021, Journal of Scientific Computing.

A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations pdf

Juntao Huang, Zhanjing Tao, Yingda Cheng, 2021, ArXiv.

Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions

Yingda Cheng, Fengyan Li, Vrushali A. Bokil, 2021, Journal of Scientific Computing.

Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures pdf

Juntao Huang, Yingda Cheng, Andrew J. Christlieb, 2021, Multiscale Model. Simul..

A Reduced Basis Method for Radiative Transfer Equation pdf

Zhichao Peng, Yingda Cheng, Yanlai Chen, 2021, Journal of Scientific Computing.

A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2011 .

A Discontinuous Galerkin Solver for Full-Band Boltzmann-Poisson Models

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2009, 2009 13th International Workshop on Computational Electronics.

Numerical study of one-dimensional Vlasov–Poisson equations for infinite homogeneous stellar systems

Yingda Cheng, Irene M. Gamba, I. Gamba, 2012 .

Discontinuous Galerkin solver for Boltzmann-Poisson transients

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2008 .

Discontinuous Galerkin methods for the Boltzmann‐Poisson systems in semiconductor device simulations

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2011 .

On Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems

Yingda Cheng, Irene M. Gamba, Philip J. Morrison, 2012 .

A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano devices

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2009, 0902.3514.

Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations

Yingda Cheng, Chi-Wang Shu, Chi-Wang Shu, 2009 .

Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation

Yingda Cheng, Irene M. Gamba, Chi-Wang Shu, 2007 .