**To request a PDF of articles, please send e-mail to
mingcheng.shiue@gmail.com**

**[15.] M.-C. Shiue , Continuous and discrete data assimilation algorithms for two-dimensional Navier-Stokes equations by delayed-coordinate nudging, preprint.**

**[14.] Marco Hernandez, Phuong Nguyen and M.-C. Shiue , On the backward-time behavior of global solutions to the stochastic Navier-Stokes equations with mulplicative noise, preprint.**

**[13.] Hsiang-Hsu Wang, M.-C. Shiue, Rui-Zhu Wu and Chien-Chang Yen , Self-gravitational force calculation of high-order accuracy for infinitesimally thin gaseous disks, ApJ, to appear, 2019.**

**[12.] M.-C. Lai, M.-C. Shiue and K. C. Ong , A simple projection method for the coupled Navier-Stokes and Darcy flows, Computational Geosciences, to appear.**

**[11.] M.-C. Shiue, K. C. Ong and M.-C. Lai, Convergence of the MAC scheme for the Stokes/Darcy coupling problem, Journal of Scientific Computing, vol. 76, No. 2, 1216-1251, 2018.**

**[10.] C.-H. Hsia and M.-C. Shiue, On the long-time stability of a temporal discretization scheme for the three dimensional
viscous primitive equations, Numerische Mathematik, vol. 139, No. 1, 187-245, 2018.**

**[9.] C.-H. Hsia, C.Y. Jung, T.B. Nguyen
and M.-C. Shiue, ****On**** time periodic solutions,
asymptotic stability and bifurcations of Navier-Stokes
equations, Numerische Mathematik, vol. 135, No. 2, 607-638, 2017.**

**[8.] C.-H. Hsia and M.-C. Shiue, Time-periodic
solutions of the Primitive equations for large-scale moist atmosphere:
Existence and Stability, Applicable Analysis, volume 94, no. 9, 1926-1963, 2015.**

**[7.] C.-H. Hsia and M.-C. Shiue, On the asymptotic
stability analysis and the existence of time-periodic solutions of the
Primitive equations, Indiana University Mathematics Journal, volume 62, No.
2, 403-441, 2013.**

**[6.] A. Bousquet,
M. Petcu, M.-C.**** Shiue, R. Temam
and J. Tribbia,
Boundary conditions for limited area models based on the shallow water
equations, Communications in Computational Physics, volume 14, no. 3,
664-702, 2013.**

**[5.] Lun-Ji Song, Gung-Min Gie, and M.-C. Shiue, Interior
penalty discontinuous Galerkin methods with implicit time-integration
techniques for nonlinear parabolic equations, Numerical Methods for Partial
Differential Equations, volume 29, No. 4, 1341-1366, 2013.**

**[4.] M.-C. Shiue, An
initial boundary value problem for one-dimensional shallow water
magnetohydrodynamics in the solar tachocline, Nonlinear Analysis Series A:
Theory, Methods & Applications, volume 76, 215-228, 2013.**

**[3.] Q.S. Chen, M.-C.**** Shiue, R. Temam and J. Tribbia, Numerical Approximation of the inviscid
3D Primitive Equations in a limited domain, ESAIM-Mathematical Modelling
and Numerical Analysis, volume 46, no. 3, 619-646, 2012.**

**[2.] M.-C. Shiue, J. Laminie, R. Temam and J. Tribbia, Boundary value
problems for the shallow water equations with topography, Journal of
Geophysical Research-Oceans, vol. 116, C02015, 22 PP., 2011.**

**[1.] Q.S. Chen, M.-C.**** Shiue and R. Temam, the Barotropic
Mode for the Primitive Equations, Journal of Scientific Computing, Vol. 45,
No. 1-3, 167-199, 2010.**

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