Yingda Cheng

Orcid: 0000-0003-3229-2979

According to our database1, Yingda Cheng authored at least 52 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

On csauthors.net:

Bibliography

2024
Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations.
CoRR, 2024

2023
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures.
Multiscale Model. Simul., June, 2023

Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds.
J. Sci. Comput., 2023

2022
A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations.
SIAM J. Sci. Comput., 2022

A Reduced Basis Method for Radiative Transfer Equation.
J. Sci. Comput., 2022

Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure.
J. Comput. Phys., 2022

A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation.
CoRR, 2022

Adaptive sparse grid discontinuous Galerkin method: review and software implementation.
CoRR, 2022

Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations.
CoRR, 2022

2021
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property.
SIAM J. Numer. Anal., 2021

Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions.
J. Sci. Comput., 2021

An adaptive high-order piecewise polynomial based sparse grid collocation method with applications.
J. Comput. Phys., 2021

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions.
J. Comput. Phys., 2021

A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations.
CoRR, 2021

2020
An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions.
SIAM J. Sci. Comput., 2020

An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form.
J. Sci. Comput., 2020

Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension.
J. Sci. Comput., 2020

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling.
J. Comput. Phys., 2020

Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension.
J. Comput. Phys., 2020

An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations.
CoRR, 2020

2019
Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions.
SIAM J. Sci. Comput., 2019

Discontinuous Galerkin Methods with Optimal L<sup>2</sup> Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives.
J. Sci. Comput., 2019

An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension.
J. Sci. Comput., 2019

Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system.
J. Comput. Phys. X, 2019

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations.
J. Comput. Phys., 2019

Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media.
J. Comput. Phys., 2019

An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem.
CoRR, 2019

2018
One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile.
SIAM J. Math. Anal., 2018

High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension.
J. Sci. Comput., 2018

2017
An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions.
SIAM J. Sci. Comput., 2017

L<sup>2</sup> stable discontinuous Galerkin methods for one-dimensional two-way wave equations.
Math. Comput., 2017

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations.
J. Sci. Comput., 2017

An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics.
J. Sci. Comput., 2017

Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media.
J. Comput. Phys., 2017

2016
A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations.
SIAM J. Sci. Comput., 2016

Convergence of discontinuous Galerkin schemes for front propagation with obstacles.
Math. Comput., 2016

Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations.
J. Comput. Phys., 2016

2015
Numerical study of the two-species Vlasov-Ampère system: Energy-conserving schemes and the current-driven ion-acoustic instability.
J. Comput. Phys., 2015

Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures.
CoRR, 2015

2014
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations.
SIAM J. Numer. Anal., 2014

A discontinuous Galerkin scheme for front propagation with obstacles.
Numerische Mathematik, 2014

A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations.
J. Comput. Phys., 2014

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system.
J. Comput. Phys., 2014

Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system.
J. Comput. Phys., 2014

2013
Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems.
J. Sci. Comput., 2013

2012
Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations.
Math. Comput., 2012

2011
A Discontinuous Galerkin Solver for Front Propagation.
SIAM J. Sci. Comput., 2011

Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model.
J. Comput. Phys., 2011

2010
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension.
SIAM J. Numer. Anal., 2010

2008
A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives.
Math. Comput., 2008

Superconvergence and time evolution of discontinuous Galerkin finite element solutions.
J. Comput. Phys., 2008

2007
A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations.
J. Comput. Phys., 2007


  Loading...