Publications of Cheng Wang

  • 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