Jie Shen
Jie Shen
Professor of Mathematics at Purdue University
Verified email at purdue.edu - Homepage
Title
Cited by
Cited by
Year
Spectral Methods: Algorithms, Analysis and Applications
J Shen, T Tang, LL Wang
Berlin: Springer-Verlag, 2011
12342011
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
12132006
Applications of semi-implicit Fourier-spectral method to phase field equations
LQ Chen, J Shen
Computer Physics Communications 108 (2), 147-158, 1998
9011998
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
7402004
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
5851994
Spectral and high-order methods with applications
J Shen, T Tang
Science Press, 2006
554*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
4962003
Numerical approximations of allen-cahn and cahn-hilliard equations
J Shen, X Yang
Discrete and Continuous Dynamical Systems, Series A 28, 1669-1691, 2010
4502010
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
4151999
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
2761995
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
2761992
Stable and efficient spectral methods in unbounded domains using Laguerre functions
J Shen
SIAM Journal on Numerical Analysis 38 (4), 1113-1133, 2000
2492000
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
BY Guo, J Shen
Numerische Mathematik 86 (4), 635-654, 2000
2232000
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
2212010
On the error estimates for the rotational pressure-correction projection methods
J Guermond, J Shen
Mathematics of Computation 73 (248), 1719-1737, 2004
2162004
Velocity-correction projection methods for incompressible flows
JL Guermond, J Shen
SIAM Journal on Numerical Analysis 41 (1), 112-134, 2003
2162003
Hopf bifurcation of the unsteady regularized driven cavity flow
J Shen
Journal of Computational Physics 95 (1), 228-245, 1991
2151991
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
2132006
Some recent advances on spectral methods for unbounded domains
J Shen, LL Wang
Communications in Computational Physics 5 (2-4), 195-241, 2009
2062009
Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy
J Shen, C Wang, X Wang, SM Wise
SIAM Journal on Numerical Analysis 50 (1), 105-125, 2012
2002012
The system can't perform the operation now. Try again later.
Articles 1–20