Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics. - Dan Ling; Junming Duan; Huazhong Tang (J. Comput. Phys., 2019)

High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics. - Junming Duan; Huazhong Tang (J. Comput. Phys., 2020)

Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics. - Junming Duan; Huazhong Tang (J. Comput. Phys., 2021)

High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics. - Junming Duan; Huazhong Tang (J. Comput. Phys., 2021)

High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state. - Shangting Li; Junming Duan; Huazhong Tang (CoRR, 2022)

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics. - Junming Duan; Huazhong Tang (J. Comput. Phys., 2022)

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics. - Junming Duan; Huazhong Tang (J. Comput. Phys., 2022)

Machine learning enhanced real-time aerodynamic forces prediction based on sparse pressure sensor inputs. - Junming Duan; Qian Wang 021; Jan S. Hesthaven (CoRR, 2023)

High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography. - Zhihao Zhang; Junming Duan; Huazhong Tang (J. Comput. Phys., 2023)

Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: One-dimensional case. - Junming Duan; Wasilij Barsukow; Christian Klingenberg (CoRR, 2024)

Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: Two-dimensional case. - Junming Duan; Wasilij Barsukow; Christian Klingenberg (CoRR, 2024)

High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes. - Zhihao Zhang; Huazhong Tang; Junming Duan (J. Comput. Phys., 2024)

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems. - Junming Duan; Jan S. Hesthaven (J. Comput. Phys., 2024)

CLT-fx: Non-axisymmetric flexible mesh finite difference scheme for stellarator MHD simulations. - Jie Wang; Yao Zhou; Junming Duan; Zhiwei Ma; Wei Zhang 310 (Comput. Phys. Commun., 2025)

Active Flux Methods for Hyperbolic Conservation Laws - Flux Vector Splitting and Bound-Preservation. - Junming Duan; Wasilij Barsukow; Christian Klingenberg (SIAM J. Sci. Comput., 2025)

Active flux for ideal magnetohydrodynamics: A positivity-preserving scheme with the Godunov-Powell source term. - Junming Duan; Praveen Chandrashekar; Christian Klingenberg (CoRR, 2025)

An asymptotic-preserving active flux scheme for the hyperbolic heat equation in the diffusive scaling. - Junming Duan; Wasilij Barsukow; Christian Klingenberg (CoRR, 2025)

A fourth-order active flux method for parabolic problems with application to porous medium equation. - Junming Duan (CoRR, 2025)