Publications

Qingshan Chen, Lili Ju, Roger Temam (2022). Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations.

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Qingshan Chen, Lili Ju, Roger Temam (2021). Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses. Numer. Math..

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M. Petersen, X. Asay-Davis, A. Berres, Q. Chen, N. Feige, D. Jacobsen, J. Philip and Maltrud, Mathew, T. Ringler, S. Gregory and Turner, Adrian, L. Van Roekel, V. Milena and Wolfe, Jonathan, P. Wolfram, J. Woodring (2019). An evaluation of the ocean and sea ice climate of E3SM using MPAS and interannual CORE-II forcing. JAMES.

Qingshan Chen (2019). On the well-posedness of the inviscid multi-layer quasi-geostrophic equations. DCDS-A.

Qingshan Chen (2019). The barotropic quasi-geostrophic equation under a free surface. SIAM Math. Anal..

Qingshan Chen, J. Ming (2018). The Multilevel Monte Carlo Method for Simulations of Turbulent Flows. Mon. Weather Rev..

Q. Chen, L. Ju (2018). Conservative finite-volume schemes for the quasi-geostrophic equation on coastal-conforming unstructured primal-dual meshes. Q.J.R. Meteorol. Soc..

Q. Chen (2017). Error analysis of staggered finite difference finite volume schemes on unstructured meshes. Numer. Methods Partial Differ. Equ..

Q. Chen (2016). Stable and convergent approximation of two-dimensional vector fields on unstructured meshes. J. Comput. Appl. Math..

Q. Chen (2016). On staggering techniques and the non-staggered Z-grid scheme. Numer. Math..

Q. Chen, T. Ringler, P. R Gent (2016). Extending a potential vorticity transport eddy closure to include a spatially-varying coefficient. Comput. Math. Appl..

J. A Saenz, Q. Chen, T. Ringler (2015). Prognostic Residual Mean Flow in an Ocean General Circulation Model and its Relation to Prognostic Eulerian Mean Flow. J. Phys. Oceanogr..

Q. Chen, M. Gunzburger (2014). Goal-oriented a posteriori error estimation for finite volume methods. J. Comput. Appl. Math..

Q. Chen, T. Ringler, M. Gunzburger (2013). A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids. J. Comput. Phys..

Q. Chen, M. Gunzburger, M. Perego (2013). Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology. SIAM J. Math. Anal..

Q. Chen, M. Gunzburger, T. Ringler (2012). A Scale-Aware Anticipated Potential Vorticity Method: On Variable-Resolution Meshes. Mon. Weather Rev..

Q. Chen, M. Shiue, R. Temam, J. Tribbia (2012). Numerical approximation of the inviscid 3D primitive equations in a limited domain. Esaim Math. Model. Numer. Anal..

Q. Chen, Y. Hong, R. Temam (2012). Analysis of a Penalty Method. J. Sci. Comput..

Q. Chen, M. Gunzburger, T. Ringler (2011). A Scale-Invariant Formulation of the Anticipated Potential Vorticity Method. Mon. Weather Rev..

Q. Chen, Z. Qin, R. Temam (2011). Numerical Resolution Near t = 0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1. Commun. Comput. Phys..

Q. Chen, M. Shiue, R. Temam (2010). The Barotropic Mode for the Primitive Equations. J. Sci. Comput..

Q. Chen, M. Gunzburger, X. Wang (2010). Partial and spectral-viscosity models for geophysical flows. Chinese Annals of Mathematics - Series B.

Q. Chen, R. Temam, J. J Tribbia (2008). Simulations of the 2.5D inviscid primitive equations in a limited domain. J. Comput. Phys..

Q. Chen, J. Laminie, A. Rousseau, T. R and Tribbia, J (2007). A 2.5D model for the equations of the ocean and the atmosphere. Anal. Appl..