Boundary conditions of the lattice Boltzmann method for convection–diffusion equations J Huang, WA Yong Journal of Computational Physics 300, 70-91, 2015 | 70 | 2015 |
Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows J Huang, CW Shu Journal of Scientific Computing 78 (3), 1811-1839, 2019 | 50 | 2019 |
Bound-preserving modified exponential Runge–Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms J Huang, CW Shu Journal of Computational Physics 361, 111-135, 2018 | 44 | 2018 |
A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows J Huang, W Zhao, CW Shu Journal of Scientific Computing 79 (2), 1015-1056, 2019 | 41 | 2019 |
Second-order curved boundary treatments of the lattice Boltzmann method for convection–diffusion equations J Huang, Z Hu, WA Yong Journal of Computational Physics 310, 26-44, 2016 | 38 | 2016 |
A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model J Huang, CW Shu Mathematical Models and Methods in Applied Sciences 27 (03), 549-579, 2017 | 29 | 2017 |
Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure J Huang, Y Cheng, AJ Christlieb, LF Roberts Journal of Computational Physics, 110941, 2022 | 26 | 2022 |
Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions Z Hu, J Huang, WA Yong Physical Review E 93 (4), 043320, 2016 | 25 | 2016 |
Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models W Zhao, J Huang, WA Yong Multiscale Modeling & Simulation 17 (2), 854-872, 2019 | 22 | 2019 |
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures J Huang, Y Cheng, AJ Christlieb, LF Roberts, WA Yong Multiscale Modeling & Simulation 21 (2), 489-512, 2023 | 19 | 2023 |
Learning thermodynamically stable and Galilean invariant partial differential equations for non-equilibrium flows J Huang, Z Ma, Y Zhou, WA Yong Journal of Non-Equilibrium Thermodynamics 46 (4), 355-370, 2021 | 19 | 2021 |
An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions J Huang, Y Cheng SIAM Journal on Scientific Computing 42 (5), A2943-A2973, 2020 | 13 | 2020 |
Generalization of the Kullback–Leibler divergence in the Tsallis statistics J Huang, WA Yong, L Hong Journal of Mathematical Analysis and Applications 436 (1), 501–512, 2015 | 13 | 2015 |
Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds J Huang, Y Cheng, AJ Christlieb, LF Roberts Journal of Scientific Computing 94 (1), 7, 2023 | 12 | 2023 |
Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws J Huang, CW Shu Numerical Methods for Partial Differential Equations 33 (2), 467-488, 2017 | 12 | 2017 |
Second-order curved interface treatments of the lattice Boltzmann method for convection-diffusion equations with conjugate interfacial conditions ZX Hu, J Huang, WX Huang, GX Cui Computers & Fluids 144, 60-73, 2017 | 12 | 2017 |
Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms W Zhao, J Huang Journal of Computational Physics 423, 109828, 2020 | 10 | 2020 |
An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions W Guo, J Huang, Z Tao, Y Cheng Journal of Computational Physics 436, 110294, 2021 | 8 | 2021 |
Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws W Zhao, J Huang, SJ Ruuth Journal of Computational Physics 421, 109697, 2020 | 7 | 2020 |
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes J Huang, T Izgin, S Kopecz, A Meister, CW Shu arXiv preprint arXiv:2205.01488, 2022 | 6 | 2022 |