| Publication | Date of Publication | Type |
|---|
| Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system | 2024-01-09 | Paper |
| Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures | 2023-06-30 | Paper |
| Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds | 2022-12-28 | Paper |
| A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation | 2022-11-08 | Paper |
| Adaptive sparse grid discontinuous Galerkin method: review and software implementation | 2022-11-02 | Paper |
| Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure | 2022-05-04 | Paper |
| An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions | 2022-04-25 | Paper |
| A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations | 2022-04-21 | Paper |
| An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations | 2022-04-14 | Paper |
| An adaptive high-order piecewise polynomial based sparse grid collocation method with applications | 2022-04-01 | Paper |
| A reduced basis method for radiative transfer equation | 2022-03-14 | Paper |
| Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation | 2021-11-02 | Paper |
| Energy stable nodal discontinuous Galerkin methods for nonlinear Maxwell's equations in multi-dimensions | 2021-10-25 | Paper |
| Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure | 2021-05-12 | Paper |
| Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property | 2021-04-28 | Paper |
| Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension | 2021-01-27 | Paper |
| Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media | 2021-01-26 | Paper |
| Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations | 2021-01-25 | Paper |
| An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions | 2020-11-09 | Paper |
| An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form | 2020-10-16 | Paper |
| Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling | 2020-08-25 | Paper |
| An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions | 2020-05-29 | Paper |
| Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures | 2020-04-06 | Paper |
| Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension | 2020-01-31 | Paper |
| An adaptive high-order piecewise polynomial based sparse grid collocation method with applications | 2019-12-09 | Paper |
| Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions | 2019-08-28 | Paper |
| An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension | 2019-06-06 | Paper |
| Discontinuous Galerkin methods with optimal \(L^2\) accuracy for one dimensional linear PDEs with high order spatial derivatives | 2019-06-06 | Paper |
| An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem | 2019-03-05 | Paper |
| High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media in one dimension | 2018-12-13 | Paper |
| Study of Discrete Scattering Operators for Some Linear Kinetic Models | 2018-03-09 | Paper |
| One-Dimensional Dissipative Boltzmann Equation: Measure Solutions, Cooling Rate, and Self-Similar Profile | 2018-02-19 | Paper |
| Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media | 2018-02-16 | Paper |
| A simple bound-preserving sweeping technique for conservative numerical approximations | 2018-01-16 | Paper |
| An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions | 2018-01-05 | Paper |
| An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics | 2017-08-11 | Paper |
| Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system | 2016-12-20 | Paper |
| Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability | 2016-12-20 | Paper |
| Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system | 2016-12-05 | Paper |
| A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations | 2016-12-05 | Paper |
| A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations | 2016-11-02 | Paper |
| $L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations | 2016-10-18 | Paper |
| Convergence of discontinuous Galerkin schemes for front propagation with obstacles | 2016-06-22 | Paper |
| Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations | 2014-07-31 | Paper |
| A discontinuous Galerkin scheme for front propagation with obstacles | 2014-02-25 | Paper |
| Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems | 2013-09-09 | Paper |
| A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations | 2012-07-11 | Paper |
| Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems | 2012-06-11 | Paper |
| Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations | 2012-02-17 | Paper |
| A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices | 2012-01-11 | Paper |
| A Discontinuous Galerkin Solver for Front Propagation | 2011-10-28 | Paper |
| Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model | 2011-06-17 | Paper |
| Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension | 2011-01-24 | Paper |
| Superconvergence and time evolution of discontinuous Galerkin finite element solutions | 2008-11-19 | Paper |
| A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives | 2008-02-25 | Paper |
| A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations | 2007-04-18 | Paper |
