Yingda Cheng
Orcid: 0000-0003-3229-2979
According to our database1,
Yingda Cheng
authored at least 53 papers
between 2007 and 2024.
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Bibliography
2024
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations.
CoRR, 2024
Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation.
CoRR, 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
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
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
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
Math. Comput., 2016
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
SIAM J. Numer. Anal., 2014
Numerische Mathematik, 2014
A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations.
J. Comput. Phys., 2014
J. Comput. Phys., 2014
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
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