| Publication | Date of Publication | Type |
|---|
| On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws | 2024-03-20 | Paper |
| Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics | 2024-01-31 | Paper |
| High-order accurate entropy stable schemes for relativistic hydrodynamics with general Synge-type equation of state | 2024-01-25 | Paper |
| A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations | 2024-01-17 | Paper |
| Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes | 2023-11-29 | Paper |
| Deep-OSG: deep learning of operators in semigroup | 2023-10-10 | Paper |
| OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws | 2023-10-07 | Paper |
| On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation | 2023-09-27 | Paper |
| Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations | 2023-03-31 | Paper |
| Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions? | 2023-02-10 | Paper |
| A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics | 2022-12-05 | Paper |
| On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems | 2022-09-22 | Paper |
| A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes | 2022-07-21 | Paper |
| A Physical-Constraint-Preserving Finite Volume WENO Method for Special Relativistic Hydrodynamics on Unstructured Meshes | 2022-07-19 | Paper |
| Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Schemes for the Euler Equations under Gravitational Fields | 2022-07-19 | Paper |
| Is the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions? | 2022-07-18 | Paper |
| Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields | 2022-06-03 | Paper |
| Deep neural network modeling of unknown partial differential equations in nodal space | 2022-05-10 | Paper |
| Data-driven deep learning of partial differential equations in modal space | 2022-04-08 | Paper |
| Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations | 2022-03-28 | Paper |
| Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics | 2021-12-07 | Paper |
| A non-intrusive correction algorithm for classification problems with corrupted data | 2021-11-24 | Paper |
| A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs | 2021-11-09 | Paper |
| Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations | 2021-08-27 | Paper |
| Deep Neural Network Modeling of Unknown Partial Differential Equations in Nodal Space | 2021-06-07 | Paper |
| Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness | 2021-04-01 | Paper |
| Structure-Preserving Method for Reconstructing Unknown Hamiltonian Systems From Trajectory Data | 2021-01-29 | Paper |
| Data driven governing equations approximation using deep neural networks | 2021-01-26 | Paper |
| Numerical aspects for approximating governing equations using data | 2020-12-10 | Paper |
| Methods to recover unknown processes in partial differential equations using data | 2020-11-07 | Paper |
| Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations | 2020-08-05 | Paper |
| Sequential approximation of functions in Sobolev spaces using random samples | 2020-01-27 | Paper |
| Data-Driven Deep Learning of Partial Differential Equations in Modal Space | 2019-10-15 | Paper |
| Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes | 2019-07-04 | Paper |
| Sequential function approximation with noisy data | 2019-06-26 | Paper |
| A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics | 2018-10-19 | Paper |
| An Explicit Neural Network Construction for Piecewise Constant Function Approximation | 2018-08-22 | Paper |
| On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state | 2018-07-19 | Paper |
| Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics | 2018-07-18 | Paper |
| Sequential function approximation on arbitrarily distributed point sets | 2018-02-22 | Paper |
| Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid | 2018-01-29 | Paper |
| A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty | 2018-01-26 | Paper |
| Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations | 2017-09-29 | Paper |
| A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation | 2017-09-18 | Paper |
| A Newton multigrid method for steady-state shallow water equations with topography and dry areas | 2017-07-26 | Paper |
| Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics | 2016-12-05 | Paper |
| A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics | 2016-12-05 | Paper |
| High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics | 2016-12-05 | Paper |
| Design of Provably Physical-Constraint-Preserving Methods for General Relativistic Hydrodynamics | 2016-10-19 | Paper |
| Physical-constraints-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state | 2016-07-28 | Paper |
| A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics | 2016-06-30 | Paper |
| A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics | 2015-02-23 | Paper |
