# Publications

## Preprints

27. **J. Huang**, T. Izgin, S. Kopecz, A. Meister, and C.-W. Shu. On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes, , *arXiv preprint arXiv:2205.01488*, submitted, 2022.

26. **J. Huang**, Y. Cheng, A. J. Christlieb, and L. F. Roberts. Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds, *arXiv preprint arXiv:2109.00700*, submitted, 2021.

25. **J. Huang**, Y. Cheng, A. J. Christlieb, L. F. Roberts, and W.-A. Yong. Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures, *arXiv preprint arXiv:2105.14410*, submitted, 2021.

## Publications in Refereed Journals

24. **J. Huang**, Y. Cheng, A. J. Christlieb, and L. F. Roberts. Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure, *Journal of Computational Physics*, 453, 110941, 2022.

23. **J. Huang**, Y. Liu, Y. Liu, Z. Tao, and Y. Cheng. A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations, *SIAM Journal on Scientific Computing*, 44(2), A745-A769, 2022.

22. **J. Huang**, Y. Zhou, and W.-A. Yong. Data-driven discovery of multiscale chemical reactions governed by the law of mass action, *Journal of Computational Physics*, 448, 110743, 2022.

21. **J. Huang**, Z. Ma, Y. Zhou, and W.-A. Yong. Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows, *Journal of Non-Equilibrium Thermodynamics*, 46 (4), 355-370, 2021.

20. W. Guo, **J. Huang**, Z. Tao, and Y. Cheng. An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions, *Journal of Computational Physics*, 436, 110294, 2021.

19. W. Zhao, **J. Huang**, and W.-A. Yong. Lattice Boltzmann method for stochastic convection-diffusion equations, *SIAM/ASA Journal on Uncertainty Quantification*, 9(2), 536-563, 2021.

18. Z. Tao, **J. Huang**, Y. Liu, W. Guo, and Y. Cheng. An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations, *Communications on Applied Mathematics and Computation*, 1-24, 2021.

17. **J. Huang**, Y. Liu, W. Guo, Z. Tao, and Y. Cheng. An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form, *Journal of Scientific Computing*, 85 (13), 2020.

16. W. Zhao and **J. Huang**. Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms, *Journal of Computational Physics*, 423, 109828, 2020.

15. W. Zhao, **J. Huang**, and S. J. Ruuth. Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws, *Journal of Computational Physics*, 421, 109697, 2020.

14. **J. Huang** and Y. Cheng. An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions, *SIAM Journal on Scientific Computing*, 42(5), A2943–A2973, 2020.

13. W. Zhao, **J. Huang**, and W.-A. Yong. Boundary conditions for kinetic theory based models I: lattice Boltzmann models, *SIAM Journal on Multiscale Modeling and Simulation*, 17(2), 854-872, 2019.

12. **J. Huang**, W. Zhao, and C.-W. Shu. A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows, *Journal of Scientific Computing*, 79, 1015-1056, 2019.

11. **J. Huang** and C.-W. Shu. Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows, *Journal of Scientific Computing*, 78, 1811-1839, 2019.

10. **J. Huang** and C.-W. Shu. Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms, *Journal of Computational Physics*, 361, 111-135, 2018.

9. **J. Huang** and C.-W. Shu. A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr-Debye model, *Mathematical Models and Methods in Applied Sciences*, 27 (03), 549-579, 2017.

8. **J. Huang** and C.-W. Shu. Error estimates to smooth solutions of semi-discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws, *Numerical Methods for Partial Differential Equations*, 33 (2), 467-488, 2017.

7. Z.-X. Hu, **J. Huang**, W.-X. Huang, and G.-X. Cui. Second-order curved interface treatments of the lattice Boltzmann method for convection-diffusion equations with conjugate interfacial conditions, *Computers and Fluids*, 144, 60-73, 2017.

6. Z. Hu, **J. Huang**, and W.-A. Yong. Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions, *Physical Review E*, 93(4), 043320, 2016.

5. **J. Huang**, Z. Hu, and W.-A. Yong. Second-order curved boundary treatments of the lattice Boltzmann method for convection-diffusion equations, *Journal of Computational Physics*, 310, 26-44, 2016.

4. **J. Huang**, L. Hong, and W.-A. Yong. Generalization of the Kullback-Leibler divergence in the Tsallis statistics, *Journal of Mathematical Analysis and Applications*, 436(1), 501-512, 2016.

3. **J. Huang** and W.-A. Yong. Boundary conditions of the lattice Boltzmann method for convection-diffusion equations, *Journal of Computational Physics*, 300, 70-91, 2015.

2. **J. Huang**, H. Wu, and W.-A. Yong. On initial conditions for the lattice Boltzmann method, *Communications in Computational Physics*, 18(2), 450-468, 2015.

1. **J. Huang**, L. Zhang, W.-A. Yong, and M. Wang. On complex boundary conditions of the lattice Boltzmann method for the diffusion equations, *Applied Mathematics and Mechanics (Chinese Edition)*, 35(3), 305-312, 2014.