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, 135 (2017), 679-709. 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. 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, 119 (2017), 179-193. PDF file

  • 51. 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, 14 (2017), 511-531. PDF file

  • 52. 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, 135 (2017), 495-534. PDF file

  • 53. 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, 23 (2018), 572-602. PDF file

  • 54. 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, 40 (2017), 6836-6863. PDF file

  • 55. 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, 75 (2018), 1912-1928. PDF file

  • 56. Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Y. Chen, J. Lowengrub, J. Shen, C. Wang, S. Wise, Journal of Computational Physics, 365 (2018), 56-73. PDF file

  • 57. 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, 75 (2018), 687-712. PDF file

  • 58. A second order energy stable linear scheme for a thin film model without slope selection. W. Li, W. Chen, C. Wang, Y. Yan, R, He, Journal of Scientific Computing, 76 (2018), 1905-1937. PDF file

  • 59. A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis. W. Feng, Z. Guan, J. Lowengrub, C. Wang, S. Wise, Y. Chen, Journal of Scientific Computing, 76 (2018), 1938-1967. PDF file

  • 60. A second order numerical scheme for the annealing of metallic-intermetallic laminate composite: a ternary reaction system. S. Zhou, Y. Wang, X. Yue, C. Wang, Journal of Computational Physics, 374 (2018), 1044-1060. PDF file

  • 61. A second-order energy stable Backward Differentiation Formula method for the epitaxial thin film equation with slope selection. W. Feng, C. Wang, S. Wise, Z. Zhang, Numerical Methods for Partial Differential Equations, 34 (2018), 1975-2007. PDF file

  • 62. 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, 24 (2019), 149-182. PDF file

  • 63. Optimal rate convergence analysis of a second order numerical scheme for the Poisson-Nernst-Planck system. J. Ding, C. Wang, S. Zhou, Numerical Mathematics: Theory, Methods and Applications, 12, (2019), 607-626. PDF file

  • 64. Numerical methods for porous medium equation by an energetic variational approach. C. Duan, C. Liu, C. Wang, X. Yue, Journal of Computational Physics, 385, (2019), 13-32. PDF file

  • 65. Numerical complete solution for random genetic drift by energetic variational approach. C. Duan, C. Liu, C. Wang, X. Yue, Mathematical Modeling and Numerical Analysis, 53, (2019), 615-634. PDF file

  • 66. An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. K. Cheng, W. Feng, C. Wang, S. Wise, Journal of Computational and Applied Mathematics, 362, (2019), 574-595. PDF file

  • 67. An energy stable Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. K. Cheng, C. Wang, S. Wise, Communications in Computational Physics, 26, (2019), 1335-1364. PDF file

  • 68. A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability. K. Cheng, Z. Qiao, C. Wang, Journal of Scientific Computing, 81, (2019), 154-185. PDF file

  • 69. Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. W. Chen, C. Wang, X. Wang, S. Wise, Journal of Computational Physics: X, 3, (2019), 100031. PDF file

  • 70. A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy. L. Dong, C. Wang, H. Zhang, Z. Zhang, Communications in Mathematical Science, 17, (2019), 921-939. PDF file

  • 71. Second-order semi-implicit projection methods for micromagnetics simulations. C. Xie, C.J. Garcia-Cervera, C. Wang, Z. Zhou, Journal of Computational Physics, 404, (2020), 109104. PDF file

  • 72. A weakly nonlinear energy stable scheme for the strongly anisotropic Cahn-Hilliard system and its convergence analysis. K. Cheng, C. Wang, S. Wise, Journal of Computational Physics, 405 (2020), 109109. PDF file

  • 73. Convergence analysis of a numerical Scheme for the porous medium equation by an energetic variational approach. C. Duan, C. Liu, C. Wang, X. Yue, Numerical Mathematics: Theory, Methods and Applications, 13 (2020), 63-80. PDF file

  • 74. A stabilized second order ETD multistep method for thin film growth model without slope selection. W. Chen, W. Li, Z. Luo, C. Wang, X. Wang, Mathematical Modeling and Numerical Analysis, M2AN, 54 (2020), 727-750. PDF file

  • 75. Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection. S. Wang, W. Chen, H. Pan, C. Wang, Journal of Computational and Applied Mathematics, 377 (2020), 112855. PDF file

  • 76. Energy stable numerical schemes for Ternary Cahn-Hilliard system. W. Chen, C. Wang, S. Wang, X. Wang, S. Wise, Journal of Scientific Computing, 84 (2020), 27. PDF file

  • 77. Energy stable higher order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. W. Chen, W. Li, C. Wang, S. Wang, X. Wang, Research in the Mathematical Sciences, 7 (2020), 13. PDF file

  • 78. Global-in-time Gevrey regularity solutions for the functionalized Cahn-Hilliard equation. K. Cheng, C. Wang, S. Wise, Z. Yuan, Discrete and Continuous Dynamical Systems-Series S, 13 (2020), 2211-2229. PDF file

  • 79. A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. L. Dong, C. Wang, H. Zhang, Z. Zhang, Communications in Computational Physics, 28 (2020), 967-998. PDF file

  • 80. Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation. C. Zhang, J. Ouyang, C. Wang, S. Wise, Journal of Computational Physics, 423 (2020), 109772. PDF file

  • 81. Artificial regularization parameter analysis for the no-slope-selection epitaxial thin film model. X. Meng, Z. Qiao, C. Wang, Z. Zhang, CSIAM Transaction on Applied Mathematics, 1 (2020), 441-462. PDF file

  • 82. Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. X. Li, Z. Qiao, C. Wang, Mathematics of Computation, 90 (2021), 171-188. PDF file

  • 83. A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions. Y. Qian, C. Wang, S. Zhou, Journal of Computational Physics, 426 (2021), 109908. PDF file

  • 84. An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. J. Guo, C. Wang, S. Wise, X. Yue, Journal of Computational and Applied Mathematics, 388 (2021), 113300. PDF file

  • 85. A third order BDF energy stable linear scheme for the no-slope-selection thin film model. Y. Hao, Q. Huang, C. Wang, Communications in Computational Physics, 29 (3) (2021), 905-929. PDF file

  • 86. A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance. C. Liu, C. Wang, Y. Wang, Journal of Computational Physics, 436 (2021), 110253. PDF file

  • 87. Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. J. Zhang, C. Wang, S. Wise, Z. Zhang, SIAM Journal on Scientific Computing, 43 (2) (2021), A1248-A1272. PDF file

  • 88. A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Y. Qin, C. Wang, Z. Zhang, International Journal of Numerical Analysis and Modeling, 18 (3) (2021), 399-425. PDF file

  • 89. An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. M. Yuan, W. Chen, C. Wang, S. Wise, Z. Zhang, Journal of Scientific Computing, 87 (2021), 78. PDF file

  • 90. Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshiz equation. J. Chen, C. Wang, C. Xie, Applied Numerical Mathematics, 168 (2021), 55-74. PDF file

  • 91. A positivity preserving, energy stable scheme for the ternary Cahn-Hilliard system with the singular interfacial parameters. L. Dong, C. Wang, S. Wise, Z. Zhang, Journal of Computational Physics, 442 (2021), 110451. PDF file

  • 92. A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation. M. Wang, Q. Huang, C. Wang, Journal of Scientific Computing, 88 (2) (2021), 33. PDF file

  • 93. A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. C. Liu, C. Wang, S. Wise, X. Yue, S. Zhou, Mathematics of Computation, 90 (2021), 2071-2106. PDF file

  • 94. High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow. Z. Xia, C. Wang, L. Xu, Z. Zhang, Journal of Computational and Applied Mathematics, 401, (2022), 113766. PDF file

  • 95. Error estimate of second order accurate scalar auxiliary variable (SAV) scheme for the thin film epitaxial models. Q. Cheng, C. Wang, Advances in Applied Mathematics and Mechanics, 13 (2021), 1318-1354. PDF file

  • 96. Convergence analysis of Fourier pseudo-spectral schemes for three-dimensional incompressible Navier-Stokes equations. C. Wang, Electronic Research Archives, 29 (5) (2021), 2915-2944. PDF file

  • 97. A modified Crank-Nicolson scheme for the Flory-Huggins Cahn-Hilliard model. W. Chen, J. Jing, C. Wang, X. Wang, S. Wise, Communications in Computational Physics, 31 (1) (2022), 60-93. PDF file

  • 98. An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. C. Liu, C. Wang, S. Wise, X. Yue, S. Zhou, Journal of Computational and Applied Mathematics, 406 (2022), 114017. PDF file

  • 99. A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. Y. Cai, J. Chen, C. Wang, C. Xie, Journal of Computational Physics, 451 (2022), 110831. PDF file

  • 100. Convergence analysis of structure-preserving numerical methods for nonlinear Fokker-Planck equations with nonlocal interactions. C. Duan, W. Chen, C. Liu, C. Wang, S. Zhou, Mathematical Methods in the Applied Sciences, 45 (7) (2022), 3764-3781. PDF file

  • 101. A third order accurate in time, BDF-type energy stable scheme for the Cahn-Hilliard equation. K. Cheng, C. Wang, S. Wise, Y. Wu, Numerical Mathematics: Theory, Methods and Applications, 15 (2) (2022), 279-303. PDF file

  • 102. A second order accurate, energy stable numerical scheme for porous medium equation by an energetic variational approach. C. Duan, W. Chen, C. Liu, C. Wang, X. Yue, Communications in Mathematical Sciences, 20 (4) (2021), 976-1024. PDF file

  • 103. Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. C. Liu, C. Wang, Y. Wang, S. Wise, SIAM Journal on Numerical Analysis, 60 (2) (2022), 781-803. PDF file

  • 104. Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations. C. Wang, J. Wang, Z. Xia, L. Xu, Mathematical Modeling and Numerical Analysis, 56 (3) (2022), 767-789. PDF file

  • 105. A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. W. Chen, J. Jing, C. Wang, X. Wang, Journal of Scientific Computing, 92 (2022), 31. PDF file

  • 106. Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. L. Dong, C. Wang, S. Wise, Z. Zhang, Journal of Computational and Applied Mathematics, 406 (2022), 114474. PDF file

  • 107. Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. W. Chen, D. Han, C. Wang, S. Wang, X. Wang, Y. Zhang, IMA Journal of Numerical Analysis, 42 (3) (2022), 2621-2655. PDF file

  • 108. A second order accurate, operator splitting schemes for reaction-diffusion systems in the energetic variational formulation. C. Liu, C. Wang, Y. Wang, SIAM Journal on Scientific Computing, 44 (4) (2022), A2276-A2301. PDF file

  • 109. A second order accurate in time, energy stable finite element scheme for the Flory-Huggins-Cahn-Hilliard equation. M. Yuan, W. Chen, C. Wang, S. Wise, Z. Zhang, Advances in Applied Mathematics and Mechanics, 14 (6) (2022), 1477-1508. PDF file

  • 110. A preconditioned steepest descent solver for the Cahn-Hilliard equation with variable mobility. X. Chen, C. Wang, S. Wise, International Journal of Numerical Analysis and Modeling, 19 (6) (2022), 839-863. PDF file

  • 111. A thermodynamically-consistent phase field crystal model of solidification with heat flux. C. Wang, S. Wise, Journal of Mathematical Study, 55 (2022), 337-357. PDF file

  • 112. Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson-Nernst-Planck equations. J. Ding, C. Wang, S. Zhou, Communications in Mathematical Sciences, 21 (2) (2023), 459-484. PDF file

  • 113. Exponential time differencing-Pade finite element method for nonlinear convection-diffusion-reaction equations with time constant delay. H. Dai, Q. Huang, C. Wang, Journal of Computational Mathematics, 41 (3) (2023), 350-374. PDF file

  • 114. Convergence analysis on a structure-preserving numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard system. Y. Qian, C. Wang, S. Zhou, CSIAM Transaction on Applied Mathematics, 4 (2) (2023), 345-380. PDF file

  • 115. An energy stable finite difference scheme for the Ericksen-Leslie system with penalty function and its optimal rate convergence analysis. K. Cheng, C. Wang, S. Wise, Communications in Mathematical Sciences, 21 (4) (2023), 1135-1169. PDF file

  • 116. Stabilization parameter analysis of a second order linear numerical scheme for the nonlocal Cahn-Hilliard equation. X. Li, Z. Qiao, C. Wang, IMA Journal of Numerical Analysis, 43 (2) (2023), 1089-1114. PDF file

  • 117. Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation. Y. Sun, J. Chen, R. Du, C. Wang, Discrete and Continuous Dynamical Systems-Series B, 28 (9) (2023), 5105-5122. PDF file

  • 118. High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard mode. K. Cheng, C. Wang, S. Wise, Numerical Methods for Partial Differential Equations, 39 (2023), 4007-4029. PDF file

  • 119. A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis. C. Liu, C. Wang, S. Wise, X. Yue, S. Zhou, Journal of Scientific Computing, 97 (1) (2023), 23. PDF file

  • 120. Error analysis of a linear numerical scheme for the Landau-Lifshitz equation with large damping parameters. Y. Cai, J. Chen, C. Wang, C. Xie, Mathematical Methods in the Applied Sciences, 46 (2023), 18952-18974. PDF file

  • 121. Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. C. Wang, J. Wang, S. Wise, Z. Xia, L. Xu, Journal of Computational and Applied Mathematics, 436 (2024), 115409. PDF file

  • 122. Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. X. Li, Z. Qiao, C. Wang, Science China Mathematics, 67 (1) (2024), 187-210. PDF file

  • 123. A scalar auxiliary variable (SAV) finite element numerical scheme for the Cahn-Hilliard-Hele-Shaw system with dynamic boundary conditions. C. Yao, F. Zhang, C. Wang, Journal of Computational Mathematics, 42 (2) (2024), 544-569. PDF file

  • 124. A second order accurate, positivity-preserving numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential. W. Chen, J. Jing, Q. Liu, C. Wang, X. Wang, Communications in Computational Physics, 35 (2024), 633-661. PDF file

  • 125. Implicit-explicit Runge-Kutta methods for Landau-Lifshitz equation with arbitrary damping. Y. Gui, C. Wang, J. Chen, Communications in Mathematical Sciences, 22 (5) (2024), 1397-1425. PDF file

  • 126. Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. W. Chen, J. Jing, Q. Liu, C. Wang, X. Wang, Journal of Computational and Applied Mathematics, 450 (2024), 115981. PDF file

  • 127. A third order positivity-preserving, energy stable numerical scheme for the Cahn-Hilliard equation with logarithmic potential. Y. Li, J. Jing, Q. Liu, C. Wang, W. Chen, Science China Mathematics, Chinese version, 54 (2024), 1-30. PDF file

  • 128. Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. Y. Guo, C. Wang, S. Wise, Z. Zhang, Mathematics of Computation, 93 (349) (2024), 2185-2214. PDF file

  • 129. Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities. J. Wang, M. Li, C. Wang, Journal of Computational Physics, 518 (2024), 113331. PDF file

  • 130. Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation. J. Chen, P. Li, C. Wang, Journal of Scientific Computing, 101 (2024), 48. PDF file

  • 131. Convergence analysis of a BDF finite element method for the resistive MHD equations. L. Ma, C. Wang, Z. Xia, Advances in Applied Mathematics and Mechanics, (2024), accepted and in press. PDF file

  • 132. A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation. J. Guo, C. Wang, Y. Yan, X. Yue, Advances in Applied Mathematics and Mechanics, (2024), accepted and in press. PDF file

  • 133. A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters. Y. Gui, R. Du, C. Wang, Numerical Mathematics: Theory, Methods and Applications, (2024), accepted and in press. PDF file

  • 134. Convergence analysis of a preconditioned steepest descent solver for the Cahn-Hilliard equation with logarithmic potential. A. Diegel, C. Wang, S. Wise, International Journal of Numerical Analysis and Modeling, (2024), accepted and in press. PDF file

  • 135. On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance. C. Liu, C. Wang, Y. Wang, Communications in Mathematical Sciences, (2024), submitted and in review.

  • 136. Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation. X. Li, Z. Qiao, C. Wang, Mathematics of Computation, (2024), submitted and in review.

  • 137. A positivity-preserving, second-order energy stable and convergent numerical scheme for a ternary system of macromolecular microsphere composite hydrogels. L. Dong, C. Wang, Z. Zhang, Journal of Computational and Applied Mathematics, (2024), submitted and in review.

  • 138. Unique solvability and error analysis of the Lagrange multiplier approach for gradient flows. Q. Cheng, J. Shen, C. Wang, SIAM Journal on Numerical Analysis, (2024), submitted and in review.
  • 139. A second-order accurate, structure preserving numerical scheme for the Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system. Y. Qin, C. Wang, IMA Journal of Numerical Analysis, (2024), submitted and in review.
  • 140. A second-order, original energy dissipative numerical scheme for chemotaxis and its convergence analysis. J. Ding, C. Wang, S. Zhou, Mathematics of Computation, (2024), submitted and in review.

  • 141. A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. Y. Guo, C. Wang, S. Wise, Z. Zhang, Journal of Computational and Applied Mathematics, (2024), submitted and in review.

  • 142. Maximum bound principle and bound preserving ETD schemes for a phase-field model of tumor growth with extracellular matrix degradation. Q. Huang, Z. Qiao, C. Wang, H. Yang, Mathematical Models and Methods in Applied Sciences, (2024), submitted and in review.

  • 143. A third order accurate, energy stable exponential time differencing multi-step scheme for Landau-Brazovskii model. M. Cui, Y. Niu, C. Wang, Z. Xu, (2024), in preparation.

  • 144. Convergence analysis for a reaction-diffusion system with nonlinear diffusion process. C. Liu, C. Wang, Y. Wang, S. Wise, (2024), in preparation.

  • 145. Convergence analysis of a second order accurate, operator splitting scheme for the energetic variational approach of reaction-diffusion system. C. Liu, C. Wang, Y. Wang, S. Wise, (2024), in preparation.

  • 146. A positivity-preserving, energy stable numerical scheme for the energetic variational approach of reaction-diffusion-Stokes system. C. Liu, C. Wang, Y. Wang, S. Wise, (2024), in preparation.

  • 147. A positivity preserving, entropy increasing numerical scheme for the thermodynamically-consistent model of phase field crystal equation. C. Liu, C. Wang, Y. Wang, S. Wise, (2024), in preparation.

  • 148. A third order accurate in time, linear numerical scheme for the Landau-Lifshitz equation. Y. Cai, J. Chen, C. Wang, C. Xie, (2024), in preparation.

  • 149. A third order accurate, linear energy stable BDF3 numerical scheme for non-local Cahn-Hilliard equation. Q. Huang, Z. Qiao, C. Wang, (2024), in preparation.

  • 150. High order accurate numerical scheme for a system of reaction diffusion equation. T. Ferreira, A. Heryudono, C. Wang, (2024), in preparation.
    Please send any comments or suggestions to: cwang1@umassd.edu, 12/06/2024