1. Convergence of Gauge Method for Incompressible Flow
(with J.-G. Liu), Math. Comp., 69, (2000), 1385-1407.
PDF file PS file
2. Analysis of Finite Difference Schemes for Unsteady
Navier-Stokes Equations In Vorticity Formulation
(with J.-G. Liu), Numer. Math., 91, (2002), 543-576.
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3. A Fast Finite Difference Method for Solving Navier-Stokes
Equations on Irregular Domains
(with Z. Li), Comm. Math Sci., 1, (2003), 181-197.
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4. Fourth Order Convergence of Compact Difference Solver
for Incompressible Flow
(with J.-G. Liu), 7, (2003), 171-191.
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5. A Fourth Order Scheme for
Incompressible Boussinesq Equations
(with J.-G. Liu, H. Johnston), J. Sci. Comp., 18, (2003), 253-285.
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6. Positivity Property of Second Order Flux-Splitting Schemes
of Compressible Euler Equations
(with J.-G. Liu), Discrete and Continuous
Dynamical Systems-Series B, 3, (2003), 201-228.
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7. Surface Pressure Poisson Equation Formulation
of the Primitive Equations: Numerical Schemes
Formulation
(with R. Samelson, R. Temam, S. Wang),
SIAM J. Numer. Anal., 41, (2003), 1163-1194.
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8. High Order Finite Difference Methods for Unsteady Incompressible
Flows in Multi-connected Domains
(with J.-G. Liu), Computers and Fluids, 33, (2004), 223-255.
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9. The Primitive Equations Formulated in Mean Vorticity
Discrete and Continuous Dynamical Systems,
Proceeding of ``International Conference on
Dynamical Systems and Differential Equations'', 2003, 880-887.
PDF file PS file
10. Convergence analysis of the numerical method for the
primitive equations formulated in mean vorticity on a Cartesian grid
Discrete and Continuous Dynamical Systems-Series B,
4, (2004), 1143-1172.
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11. Boundary-layer Separation and Adverse Pressure Gradient for
2-D Viscous Incompressible Flow
(with M. Ghil, J.-G. Liu, S. Wang),
Physica D, 197, (2004), 149-173.
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12. Analysis of a Fourth Order Finite Difference
Method for Incompressible Boussinesq Equations
(with J. Liu, H. Johnston)
Numer. Math., 97, (2004), 555-594.
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13. Global weak solution of the planetary
geostrophic equations with inviscid geostrophic balance
(with J. Liu, R. Samelson),
Applicable Analysis, 85, (2006), 593-606.
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14. A fourth order numerical method for the planetary
geostrophic equations with inviscid geostrophic balance
(with R. Samelson, R. Temam and S. Wang),
Numer. Math., 107, (2007), 669-705.
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15. Numerical Simulations of Large Scale Ocean:
Thermocline Circulation
(with R. Samelson, R. Temam, S. Wang),
preprint.
16. A fourth order numerical method for the
primitive equations formulated in mean vorticity
(with J.-G. Liu),
Communications in Computational Physics, 4, (2008), 26-55.
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17. Structural stability and bifurcation for 2-D divergence-free vector
with symmetry
(with C. Hsia, J.-G. Liu),
Nonlinearity, submitted.
18. Spectral method for incompressible fluid
in vorticity formulation
(with J.-G. Liu, H. Johnston),
preprint.
19. Gauge formulation and Gauge method for three-dimensional
Boussinesq system with infinite Prandtl number
(with X. Wang),
preprint.
20. A fourth order difference scheme for the
Maxwell equations on Yee grid
(with J. Wilson, S. Yang, A. Fathy),
accepted by Journal of Hyperbolic Differential Equations.
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21. Fourth order convergence of a FDTD scheme for the
Maxwell equations with a perfectly conducting boundary
(with Z. Guan),
preprint.
22. Development of a fourth order FDTD algorithm
implementing symmetric boundary
extrapolation and Jameson method time stepping
(with J. Wilson, A. Fathy, Y. Kang),
IEEE Transactions on Microwave Theory and Techniques, submitted.
23. An accurate and stable fourth order finite difference
time domain method
(with J. Wilson, S. Yang, A. Fathy, Y. Kang),
accepted by 2008 IEEE MTT-S International Microwave Symposium Digest.
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24. Classification of numerical stability for vorticity
boundary condition in incompressible fluid,
the 12th World Multi-Conference on
Systemics, Cybernetics and Informatics, June 2008, submitted.
Please send any comments or suggestions to:
wang@math.utk.edu, 02/28/08
