The Barotropic Mode for the Primitive Equations. - Qingshan Chen; Ming-Cheng Shiue; Roger Temam (J. Sci. Comput., 2010)

On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations. - Chun-Hsiung Hsia; Chang-Yeol Jung; Thien Binh Nguyen; Ming-Cheng Shiue (Numerische Mathematik, 2017)

Convergence of the MAC Scheme for the Stokes/Darcy Coupling Problem. - Ming-Cheng Shiue; Kian Chuan Ong; Ming-Chih Lai (J. Sci. Comput., 2018)

On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations. - Chun-Hsiung Hsia; Ming-Cheng Shiue (Numerische Mathematik, 2018)

Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques. - Yi Juan Du; Ming-Cheng Shiue (J. Comput. Appl. Math., 2021)

Synchronization of Heterogeneous Forced First-Order Kuramoto Oscillator Networks: A Differential Inequality Approach. - Shih-Hsin Chen; Chia-Chi Chu; Chun-Hsiung Hsia; Ming-Cheng Shiue (IEEE Trans. Circuits Syst. I Regul. Pap., 2022)

On the unconditional long-time L2 stability of the SAV-BDF2 time-stepping schemes for the forced Navier-Stokes equations with nonsmooth initial data. - Quen-Yi Lin; Ming-Cheng Shiue (Appl. Math. Lett., 2025)