Jie Shen
Jie Shen
Professor of Mathematics at Purdue University
Verified email at purdue.edu - Homepage
TitleCited byYear
An overview of projection methods for incompressible flows
JL Guermond, P Minev, J Shen
Computer Methods in Applied Mechanics and Engineering 195 (44), 6011-6045, 2006
10452006
Spectral Methods: Algorithms, Analysis and Applications
J Shen, T Tang, LL Wang
Berlin: Springer-Verlag, 2011
9592011
Applications of semi-implicit Fourier-spectral method to phase field equations
LQ Chen, J Shen
Computer Physics Communications 108 (2), 147-158, 1998
7961998
A diffuse-interface method for simulating two-phase flows of complex fluids
P Yue, JJ Feng, C Liu, J Shen
Journal of Fluid Mechanics 515 (1), 293-317, 2004
6352004
Efficient spectral-Galerkin method I. Direct solvers of second-and fourth-order equations using Legendre polynomials
J Shen
SIAM Journal on Scientific Computing 15 (6), 1489-1505, 1994
5171994
Spectral and high-order methods with applications
J Shen, T Tang
Science Press, 2006
487*2006
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
C Liu, J Shen
Physica D: Nonlinear Phenomena 179 (3), 211-228, 2003
4292003
Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method
J Zhu, LQ Chen, J Shen, V Tikare
Physical Review E 60 (4), 3564, 1999
3641999
Numerical approximations of allen-cahn and cahn-hilliard equations
J Shen, X Yang
Discrete and Continuous Dynamical Systems, Series A 28, 1669-1691, 2010
3222010
On error estimates of projection methods for Navier-Stokes equations: first-order schemes
J Shen
SIAM Journal on Numerical Analysis 29 (1), 57-77, 1992
2541992
Efficient spectral-Galerkin method II. Direct solvers of second-and fourth-order equations using Chebyshev polynomials
J Shen
SIAM Journal on Scientific Computing 16 (1), 74-87, 1995
2521995
Stable and efficient spectral methods in unbounded domains using Laguerre functions
J Shen
SIAM Journal on Numerical Analysis 38 (4), 1113-1133, 2000
2322000
Hopf bifurcation of the unsteady regularized driven cavity flow
J Shen
Journal of Computational Physics 95 (1), 228-245, 1991
2101991
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
BY Guo, J Shen
Numerische Mathematik 86 (4), 635-654, 2000
2082000
On the error estimates for the rotational pressure-correction projection methods
J Guermond, J Shen
Mathematics of Computation 73 (248), 1719-1737, 2004
1952004
Velocity-correction projection methods for incompressible flows
JL Guermond, J Shen
SIAM Journal on Numerical Analysis 41 (1), 112-134, 2003
1932003
A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities
J Shen, X Yang
SIAM Journal on Scientific Computing 32 (3), 1159-1179, 2010
1892010
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
X Yang, JJ Feng, C Liu, J Shen
Journal of Computational Physics 218 (1), 417-428, 2006
1812006
Some recent advances on spectral methods for unbounded domains
J Shen, LL Wang
Communications in Computational Physics 5 (2-4), 195-241, 2009
1792009
A new class of truly consistent splitting schemes for incompressible flows
JL Guermond, J Shen
Journal of Computational Physics 192 (1), 262-276, 2003
1792003
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