Yingda Cheng

发表

PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems

A. Christlieb, Xinghui Zhong, Yingda Cheng, 2013, 2013 Abstracts IEEE International Conference on Plasma Science (ICOPS).

An Adaptive Multiresoluton Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multi-dimensions

Wei Guo, Yingda Cheng, 2016, 1607.01822.

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

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

Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations

J. Ryan, Juntao Huang, Yingda Cheng, 2022, ArXiv.

Energy Stable SBP-FDTD Methods for Maxwell–Duffing Models in Nonlinear Photonics

D. Appelö, Fengyan Li, V. Bokil, 2019, IEEE Journal on Multiscale and Multiphysics Computational Techniques.

Adaptive sparse grid discontinuous Galerkin method: review and software implementation

Juntao Huang, Yingda Cheng, W. Guo, 2022, Communications on Applied Mathematics and Computation.

A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation

Fengyan Li, Yanlai Chen, Yingda Cheng, 2022, ArXiv.

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations

C. Shu, Yingda Cheng, Yuan Liu, 2017, Journal of Scientific Computing.

A Discontinuous Galerkin Solver for Front Propagation

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

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..

Energy-conserving numerical simulations of electron holes in two-species plasmas

A. Christlieb, Xinghui Zhong, Yingda Cheng, 2015 .

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..

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

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

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

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

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..

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

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

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.

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

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

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

Juntao Huang, Yong Liu, Yingda Cheng, 2021, 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..

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

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

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

Mengping Zhang, Yong Liu, Yingda Cheng, 2020, Journal of Scientific Computing.

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

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

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..

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

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

Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations

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

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

Juntao Huang, Yingda Cheng, Yuan Liu, 2021, Communications on Applied Mathematics and Computation.

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.

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

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

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..

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..

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

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

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..

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

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

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

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

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

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

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..

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.

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

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

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations

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

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

Wenting Guo, Juntao Huang, Yingda Cheng, 2020, J. Comput. Phys..

Convergence of discontinuous Galerkin schemes for front propagation with obstacles

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

A discontinuous Galerkin scheme for front propagation with obstacles

O. Bokanowski, C. Shu, Yingda Cheng, 2013, Numerische Mathematik.

A discontinuous Galerkin scheme for front propagation with obstacles

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

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 .

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

R. Alonso, Yingda Cheng, Jennifer Young, 2013, Cellular and Molecular Bioengineering.

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.

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..

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..

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..

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

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

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

Fengyan Li, V. Bokil, Yan Jiang, 2018, Journal of Scientific Computing.

A Reduced Basis Method for Radiative Transfer Equation pdf

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

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

Chi-Wang Shu, Yingda Cheng, 2007, J. Comput. Phys..

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 Boltzmann-Poisson systems in nano devices

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

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..

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 solver for Boltzmann-Poisson transients

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

Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation

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

Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations

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

DISCONTINUOUS GALERKIN METHODS FOR VLASOV-MAXWELL EQUATIONS

Fengyan Li, P. Morrison, I. Gamba, 2012 .

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

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