167 citations · 523 across the 43 of their papers we have counts for
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Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Qingshan Chen, Zhen Qin, Roger Temam
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to s…
Numerical Approximation of the Inviscid 3D Primitive Equations in a Limited Domain
Qingshan Chen, Ming-Cheng Shiue, Roger Temam +1
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for…
Numerical Resolution near t = 0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1
Qingshan Chen, Zhen Qin, Roger Temam
The incompatibilities between the initial and boundary data will cause singularities at the time-space corners, which in turn adversely affect the accuracy of the numerical schemes…