IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems. - Shinhoo Kang; Francis X. Giraldo; Tan Bui-Thanh (CoRR, 2017)

A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. - Shinhoo Kang; Tan Bui-Thanh; Todd Arbogast (CoRR, 2018)

A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations. - Shinhoo Kang; Tan Bui-Thanh (CoRR, 2020)

IMEX HDG-DG: A coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. - Shinhoo Kang; Francis X. Giraldo; Tan Bui-Thanh (J. Comput. Phys., 2020)

Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations. - Shinhoo Kang; Emil M. Constantinescu; Hong Zhang 006; Robert L. Jacob (CoRR, 2021)

Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations. - Shinhoo Kang; Alp Dener; Aidan Hamilton; Hong Zhang 006; Emil M. Constantinescu; Robert L. Jacob (CoRR, 2022)

Learning Subgrid-scale Models with Neural Ordinary Differential Equations. - Shinhoo Kang; Emil M. Constantinescu (CoRR, 2022)

Entropy-Preserving and Entropy-Stable Relaxation IMEX and Multirate Time-Stepping Methods. - Shinhoo Kang; Emil M. Constantinescu (J. Sci. Comput., 2022)

Unified hp-HDG Frameworks for Friedrichs' PDE systems. - Jau-Uei Chen; Shinhoo Kang; Tan Bui-Thanh; John N. Shadid (CoRR, 2023)

Learning Subgrid-Scale Models in Discontinuous Galerkin Methods with Neural Ordinary Differential Equations for Compressible Navier-Stokes Equations. - Shinhoo Kang; Emil M. Constantinescu (CoRR, 2023)

A unified hp-HDG framework for Friedrichs' PDE systems. - Jau-Uei Chen; Shinhoo Kang; Tan Bui-Thanh; John N. Shadid (Comput. Math. Appl., 2024)