1. Convergence of gauge method for incompressible flow.
C. Wang, J.-G. Liu, Mathematics of Computation,
69, (2000), 1385-1407.
PDF file

2. Analysis of finite difference schemes for unsteady
Navier-Stokes equations in vorticity formulation.
C. Wang, J.-G. Liu, Numerische Mathematik, 91, (2002), 543-576.
PDF file

3. A fourth order scheme for incompressible
Boussinesq equations.
J.-G. Liu, C. Wang, H. Johnston,
Journal of Scientific Computing, 18, (2003), 253-285.
PDF file

4. Positivity property of second order flux-splitting schemes
of compressible Euler equations.
C. Wang, J.-G. Liu, Discrete and Continuous
Dynamical Systems-Series B, 3, (2003), 201-228.
PDF file

5. A fast finite difference method for solving Navier-Stokes
equations on irregular domains.
Z. Li, C. Wang, Communications in Mathematical Sciences,
1, (2003), 181-197.
PDF file

6. Fourth order convergence of compact difference solver
for incompressible flow.
C. Wang, J.-G. Liu, Communications in Applied Analysis,
7, (2003), 171-191.
PDF file

7. Surface pressure Poisson equation formulation
of the primitive equations: Numerical schemes.
R. Samelson, R. Temam, C. Wang, S. Wang,
SIAM Journal of Numerical Analysis, 41, (2003), 1163-1194.
PDF file

8. The primitive equations formulated in mean vorticity.
C. Wang, Discrete and Continuous Dynamical Systems,
Proceeding of ``International Conference on
Dynamical Systems and Differential Equations'', 2003, 880-887.
PDF file

9. High order finite difference methods for unsteady
incompressible flows in multi-connected domains.
J.-G. Liu, C. Wang, Computers and Fluids, 33, (2004), 223-255.
PDF file

10. Analysis of a fourth order finite difference
method for incompressible Boussinesq equations.
C. Wang, J.-G. Liu, H. Johnston,
Numerische Mathematik, 97, (2004), 555-594.
PDF file

11. Convergence analysis of the numerical method for the
primitive equations formulated in mean vorticity on
a Cartesian grid.
C. Wang, Discrete and Continuous Dynamical Systems-Series B,
4, (2004), 1143-1172.
PDF file

12. Boundary-layer separation and adverse pressure gradient for
2-D viscous incompressible flow.
M. Ghil, J.-G. Liu, C. Wang, S. Wang,
Physica D, 197, (2004), 149-173.
PDF file

13. Global weak solution of the planetary
geostrophic equations with inviscid geostrophic balance
J. Liu, R. Samelson, C. Wang,
Applicable Analysis, 85, (2006), 593-606.
PDF file

14. A fourth order numerical method for the planetary
geostrophic equations with inviscid geostrophic balance.
R. Samelson, R. Temam, C. Wang, S. Wang,
Numerische Mathematik, 107, (2007), 669-705.
PDF file

15. A fourth order numerical method for the
primitive equations formulated in mean vorticity.
with J.-G. Liu, C. Wang,
Communications in Computational Physics, 4, (2008), 26-55.
PDF file

16. A fourth order difference scheme for the
Maxwell equations on Yee grid.
A. Fathy, C. Wang, J. Wilson, S. Yang,
Journal of Hyperbolic Differential Equations,
5, (2008), 613-642
PDF file

17. An accurate and stable fourth order finite difference
time domain method.
J. Wilson, C. Wang, S. Yang, A. Fathy, Y. Kang,
IEEE Xplore, MTT-S International Microwave Symposium Digest,
June 2008, 1369-1372.
PDF file

18. A general stability condition for multi-stage
vorticity boundary conditions in incompressible fluids.
C. Wang, Methods and Applications of Analysis,
15, (2008), 469-476.
PDF file

19. Structural stability and bifurcation for 2-D
divergence-free vector with symmetry.
C. Hsia, J.-G. Liu, C. Wang,
Methods and Applications of Analysis,
15, (2008), 495-512.
PDF file

20. Analysis of rapidly twisted hollow waveguides.
J. Wilson, C. Wang, A. Fathy, Y. Kang,
IEEE Transactions on Microwave Theory and Techniques,
57, (2009), 130-139.
PDF file

21. Applications of twisted hollow waveguides
as accelerating structures.
J. Wilson, A. Fathy, Y. Kang, C. Wang,
IEEE Transactions on Nuclear Science,
56, (2009), 1479-1486.
PDF file

22. An energy stable and convergent finite-difference
scheme for the phase field crystal equation.
S. Wise, C. Wang, J. Lowengrub,
SIAM Journal on Numerical Analysis,
47, (2009), 2269-2288.
PDF file

23. Stable and efficient finite-difference
nonlinear-multigrid schemes for the
phase field crystal equation.
Z. Hu, S. Wise, C. Wang, J. Lowengrub,
Journal of Computational Physics,
228, (2009), 5323-5339.
PDF file

24. Unconditionally stable schemes for equations
of thin film epitaxy.
C. Wang, X. Wang, S. Wise,
Discrete and Continuous Dynamical Systems-Series A,
28, (2010), 405-423.
PDF file

25. Global smooth solutions of the three-dimensional
modified phase field crystal equation.
C. Wang, S. Wise,
Methods and Applications of Analysis,
17, (2010), 191-212.
PDF file

26. An energy stable and convergent finite-difference
scheme for the modified phase field crystal equation.
C. Wang, S. Wise,
SIAM Journal on Numerical Analysis,
49, (2011), 945-969.
PDF file

27. Second-order convex splitting schemes for gradient
flows with Ehrlich-Schwoebel type energy:
Application to thin film epitaxy.
J. Shen, C. Wang, X. Wang, S. Wise,
SIAM Journal on Numerical Analysis,
50, (2012), 105-125.
PDF file

28. Long time stability of a classical efficient
scheme for two dimensional Navier-Stokes equations.
S. Gottlieb, F. Tone, C. Wang, X. Wang, D. Wirosoetisno,
SIAM Journal on Numerical Analysis,
50, (2012), 126-150.
PDF file

29. A linear energy stable scheme for
a thin film model without slope selection.
W. Chen, S. Conde, C. Wang, X. Wang, S. Wise,
Journal of Scientific Computing,
52, (2012), 546-562.
PDF file

30. Stability and convergence analysis of
fully discrete Fourier collocation spectral method
for 3-D viscous Burgers' equation.
S. Gottlieb, C. Wang,
Journal of Scientific Computing,
53, (2012), 102-128.
PDF file

31. Energy stable and efficient finite-difference
nonlinear multigrid schemes for the modified
phase field crystal equation.
A. Baskaran, Z. Hu, J. Lowengrub, C. Wang,
S. Wise, P. Zhou,
Journal of Computational Physics,
250, (2013), 270-292.
PDF file

32. Convergence analysis of a second order
convex splitting scheme for the modified
phase field crystal equation.
A. Baskaran, J. Lowengrub, C. Wang, S. Wise,
SIAM Journal on Numerical Analysis,
51, (2013), 2851-2873.
PDF file

33. A linear iteration algorithm for a second
order energy stable scheme for a thin film
model without slope selection.
W. Chen, C. Wang, X. Wang, S. Wise,
Journal of Scientific Computing,
59, (2014), 574-601.
PDF file

34. A local pressure boundary condition spectral
collocation scheme for the three-dimensional
Navier-Stokes equations.
H. Johnston, C. Wang, J.-G. Liu,
Journal of Scientific Computing,
60, (2014), 612-626.
PDF file

35. Second order convex splitting schemes for
periodic nonlocal Cahn-Hilliard and Allen-Cahn
equations.
Z. Guan, J. Lowengrub, C. Wang, S. Wise,
Journal of Computational Physics,
277, (2014), 48-71.
PDF file

36. A convergent convex splitting scheme for
the periodic nonlocal Cahn-Hilliard equation.
Z. Guan, C. Wang, S. Wise,
Numerische Mathematik,
128, (2014), 377-406.
PDF file

37. A Fourier pseudospectral method
for the ``Good" Boussinesq equation with
second-order temporal accuracy.
K. Cheng, W. Feng, S. Gottlieb, C. Wang,
Numerical Methods for Partial Differential Equations,
31, (2015), 202-224.
PDF file

38. An energy-conserving second order numerical
scheme for nonlinear hyperbolic equation with
an exponential nonlinear term.
L. Wang, W. Chen, C. Wang,
Journal of Computational and Applied Mathematics,
280, (2015), 347-366.
PDF file

39. Simple finite element numerical simulation of incompressible flow over non-rectangular domains and the super-convergence analysis.
Y. Xue, C. Wang, J.-G. Liu, Journal of Scientific Computing, 65 (2015), 1189-1216.
PDF file

40. An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation.
J. Guo, C. Wang, S. Wise, X. Yue, Communications in Mathematical Sciences, 14 (2016), 489-515.
PDF file

41. Convergence analysis of a fully discrete finite difference scheme for Cahn-Hilliard-Hele-Shaw equation.
W. Chen, Y. Liu, C. Wang, S. Wise, Mathematics of Computation, 85 (2016), 2231-2257.
PDF file

42. Global-in-time Gevrey regularity solution for a class of bistable gradient flows.
N. Chen, C. Wang, S. Wise, Discrete and Continuous Dynamical Systems-Series B, 21 (2016), 1689-1711.
PDF file

43. An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations.
Z. Guan, V. Heinonen, J. Lowengrub, C. Wang, S. Wise, Journal of Computational Physics, 321 (2016), 1026-1054.
PDF file

44. Stability and convergence of a second order mixed finite element method for the Cahn-Hilliard equation.
A. Diegel, C. Wang, S. Wise, IMA Journal of Numerical Analysis, 36 (2016), 1867-1897.
PDF file

45. Long time stability of high order multi-step numerical schemes for two-dimensional incompressible Navier-Stokes equations.
K. Cheng, C. Wang, SIAM Journal on Numerical Analysis, 54 (2016), 3123-3144.
PDF file

46. A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method.
K. Cheng, C. Wang, S. Wise, X. Yue, Journal of Scientific Computing, 69 (2016), 1083-1114.
PDF file

47. Preconditioned steepest descent methods for some regularized p-Laplacian problems.
W. Feng, A. Salgado, C. Wang, S. Wise, Journal of Computational Physics, 334 (2017), 45-67.
PDF file

48. Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system.
Y. Liu, W. Chen, C. Wang, S. Wise, Numerische Mathematik, (2016), accepted and published online.
PDF file

49. Error analysis of an energy stable finite difference scheme
for the epitaxial thin film growth model with slope selection with an improved
convergence constant.
Z. Qiao, C. Wang, S. Wise, Z. Zhang, International Journal of Numerical Analysis and Modeling, 14 (2017), 283-305.
PDF file

50. Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system.
A. Diegel, C. Wang, X. Wang, S. Wise, Numerische Mathematik, (2017), accepted and in press.
PDF file

51. A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation.
Y. Yan, W. Chen, C. Wang, S. Wise, Communications in Computational Physics, (2017), submitted and in review.

52. A second order operator splitting numerical scheme for the ``Good" Boussinesq equation.
C. Zhang, H. Wang, J. Huang, C. Wang, X. Yue, Applied Numerical Mathematics, (2017), submitted and in review.

53. On the operator splitting and integral equation preconditioned deferred correction methods for the ``Good" Boussinesq equation.
C. Zhang, J. Huang, C. Wang, X. Yue, Journal of Scientific Computing, (2017), submitted and in review.

54. A second order numerical scheme for nonlinear
Maxwell's equations using conforming finite element.
C. Yao, Y. Lin, C. Wang, Journal of Computational Mathematics, (2017), submitted and in review.

55. A third order linearized BDF scheme for Maxwell's equations with nonlinear conductivity using finite element method.
C. Yao, C. Wang, Y. Kou, Y. Lin, International Journal of Numerical Analysis and Modeling, (2017), submitted and in review.

56. Convergence analysis for second order accurate convex splitting
scheme for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations.
Z. Guan, J. Lowengrub, C. Wang, Mathematical Methods in the Applied Sciences, (2017), submitted and in review.

57. An energy stable finite-difference scheme for functionalized Cahn-Hilliard
equation and its convergence analysis.
W. Feng, Z. Guan, J. Lowengrub, C. Wang, S. Wise, SIAM Journal on Numerical Analysis, (2017), submitted and in review.

58. A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equation.
W. Chen, W. Feng, Y. Liu, C. Wang, S. Wise, Discrete and Continuous Dynamical Systems-Series B, (2017), submitted and in review.

59. Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation.
L. Dong, W. Feng, C. Wang, S. Wise, Z. Zhang, Computers \& Mathematics with Applications, (2017), submitted and in review.

60. A refined truncation error estimate for long stencil fourth order
finite difference approximation and its application to the Cahn-Hilliard equation.
K. Cheng, W. Feng, C. Wang, S. Wise, (2017), in preparation.

61. Global-in-time Gevrey regularity solution to a three-dimensional
Cahn-Hilliard-Stokes model.
W. Chen, Y. Liu, C. Wang, S. Wise, (2017), in preparation.

62. The Strong-Stability-Preserving (SSP) scheme applied to the
Integrating Factor (IF) form of Exponential Time Differencing (ETD) problems.
S. Gottlieb, Z. Grant, C. Wang, (2017), in preparation.

63. An improved error analysis for a second-order
convex splitting finite difference scheme
for the Cahn-Hilliard equation.
J. Guo, C. Wang, S. Wise, X. Yue,
(2017), in preparation.

64. A spectral collocation method for two-dimensional
incompressible fluid flows in vorticity formulation.
H. Johnston, C. Wang, J.-G. Liu,
(2017), in preparation.
Please send any comments or suggestions to:
cwang1@umassd.edu, 03/19/2017