1. Chuanjun Chen, Xiaofeng Yang, Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model, Science China Mathematics, 67(2024) 2171-2194. 2. Chuanjun Chen, Xiaofeng Yang, Efficient fully discrete spectral-galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential, Communications in Mathematics and Statistics, 12(2024) 15-43. 3. Fangyuan Wang, Chuanjun Chen, Zhaojie Zhou, Integral constraint regularization method for fractional optimal control problem with pointwise state constraint, Chaos, Solitons and Fractals, 180 (2024) 114559. 4. Chuanjun Chen, Tong Zhang, Unconditional stability of first and second orders implicit/explicit schemes for the natural convection equations, Computers and Mathematics with Applications, 139 (2023) 152-172. 5. Xiaochen Chu, Chuanjun Chen, Tong Zhang, Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations, Numerical Methods Partial Differential Equations, 39(2023) 4196-4220. 6. Tong Zhang, Xiaochen Chu, Chuanjun Chen, Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible mhd flow, Discrete and Continuous Dynamical Systems - Series B, 28(2023) 5839-5880. 7. Zhengguang Liu, Chuanjun Chen, On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model, Journal of Computational and Applied Mathematics, 419 (2023) 114730. 8. Ziqiang Wang, Chuanjun Chen, Yanjun Li, Xiaofeng Yang, Decoupled finite element scheme of the variable-density and viscosity phase-field model of a two-phase incompressible fluid flow system using the volume-conserved Allen-Cahn dynamics, Journal of Computational and Applied Mathematics, 420 (2023) 114773. 9. Xiaochen Chu, Chuanjun Chen, Tong Zhang, Stability and convergence of stabilized finite volume iterative methods for steady incompressible MHD flows with different viscosities, East Asian Journal on Applied Mathematics, 13(2023) 361-397. 10. Huifang Zhang, Chuanjun Chen, Tong Zhang, Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections, Computational and Applied Mathematics, 42(2023) 11. 11. Chuanjun Chen, Xiaofeng Yang, Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity, Science China Mathematics, 65(2022) 2631-2656. 12. Chuanjun Chen, Xiaofeng Yang, A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-Nematic model for two-phase complex fluids confined in the Hele-Shaw cell, Journal of Computational Physics, 2022, 456: 111026. 13. Chuanjun Chen, Yuzhi Lou, Hanzhang Hu, Two-grid finite volume element method for the time-dependent Schrödinger equation, Computers & Mathematics with Applications, 108 (2022) 185-195. 14. Chuanjun Chen, Tong Zhang, Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model, Applied Mathematics and Computation, 429 (2022) 127238. 15. Chuanjun Chen, Yuzhi Lou, Tong Zhang, Two-grid Crank-Nicolson finite volume element method for the time-dependent Schrodinger equation, Advances in Applied Mathematics and Mechanics, 14(2022) 1357-1380. 16. Qiongwei Ye, Zhigang Ouyang, Chuanjun Chen, XiaofengYang, Efficient decoupled second-order numerical scheme for the flow-coupled Cahn–Hilliard phase-field model of two-phase flows, Journal of Computational and Applied Mathematics, 405(2022) 113875. 17. Peng Liu, Zhigang Ouyang, Chuanjun Chen, XiaofengYang, A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen–Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity, Communications in Nonlinear Science and Numerical Simulation, 107(2022) 106120. 18. Xiaoli Li, Yanping Chen, Chuanjun Chen, An improved two-grid technique for the nonlinear time-fractional parabolic equation based on the block-centered finite difference method, Journal of Computational Mathematics, 40(2022) 455-473. 19. Chuanjun Chen, Xiaofeng Yang, Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn-Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity, ESAIM-Mathematical Modelling and Numerical Analysis, 55 (5)(2021) 2323-2347. 20. Chuanjun Chen, Xi Li, Jun Zhang, XiaofengYang, Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers, Applied Mathematics and Computation, 388(2021) 125463 21. Wenting Mao, Huasheng Wang, Chuanjun Chen, A-posteriori error estimations based on postprocessing technique for two-sided fractional differential equations, Applied Numerical Mathematics, 167(7)(2021) 73-91. 22. Yuanyuan Zhang, Chuanjun Chen, Chunjia Bi, A quadratic finite volume method for nonlinear elliptic problems, Advances in Computational Mathematics, 47(3)(2021) 32. 23. Yuzhi Lou, Chuanjun Chen, Guanyu Xue, Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations, Advances in Applied Mathematics and Mechanics, 13 (2021) 892-913. 24. Yunjie Gong, Chuanjun Chen, Yuzhi Lou, Guanyu Xue, Crank-Nicolson method of a two-grid finite volume element algorithm for nonlinear parabolic equations, East Asian Journal on Applied Mathematics, 11(3) (2021) 540-559 25. Huan Liu, Xiangcheng Zheng, Chuanjun Chen, Hong Wang, A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model, Advances in Computational Mathematics, 47(3)(2021) 41. 26. Chen Xu, Chuanjun Chen, Xiaofeng Yang, Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system, Numerical Algorithms, 86(2021) 863–885 27. Chuanjun Chen, Kejia Pan, Xiaofeng Yang, Numerical approximations of a hydro-dynamically coupled phase-field model for binary mixture of passive/active nematic liquid crystals and viscous fluids, Applied Numerical Mathematics, 158(2020) 1-21 28. Chuanjun Chen, Jun Zhang, Xiaofeng Yang, Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen–Cahn type Ohta–Kawaski phase-field model for diblock copolymer melt, Computer Physics Communications, 256(2020) 10741 29. Chuanjun Chen, Huan Liu, Xiangcheng Zheng, Hong Wang, A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations, Computers & Mathematics with Applications, 79(9) (2020) 2771-2783. 30. Jun Zhang , Chuanjun Chen, Xiaofeng Yang, Kejia Pan, Efficient numerical scheme for a penalized Allen-Cahn type Ohta-Kawasaki phase-field model for diblock copolymers, Journal of Computational and Applied Mathematics, 378(2020) 112905 31. Guo-Dong Zhang, Chuanjun Chen, Uniformly robust preconditioners for incompressible MHD system, Journal of Computational and Applied Mathematics, 379(2020) 112914 32. Jun Zhang , Chuanjun Chen, Xiaofeng Yang, Yuchuan Chu, Zeyu Xia, Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen–Cahn Equation with precise nonlocal mass conservation, Journal of Computational and Applied Mathematics 363 (2020) 444–463. 33. Jun Zhang, Chuanjun Chen, Xiaofeng Yang, Efficient and energy stable method for the Cahn-Hilliard phase-field model for diblock copolymers, Applied Numerical Mathematics, 151(2020) 263–281. 34. Jun Zhang, Chuanjun Chen, Jiangxing Wang, Xiaofeng Yang, Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binaryphase-field surfactant system, Computer Physics Communications, 251(2020) 107122. 35. Chuanjun Chen, Kang Li, Yanping Chen, Yunqing Huang, Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations, Advances in Computational Mathematics, 45(2)(2019) 611–630. 36. Chuanjun Chen, Xiaoyan Zhang, Guodong Zhang, Yuanyuan Zhang, A two-grid finite element method for nonlinear parabolic integro-differential equations, International Journal of Computer Mathematics, 96(10)(2019) 2010-2023. 37. Yuanyuan Zhang, Min Yang, Chuanjun Chen, The hybrid Wilson finite volume method for elliptic problems on quadrilateral meshes, Advances in Computational Mathematics, 45(2019) 429–452. 38. Chuanjun Chen, Xiaofeng Yang, Efficient numerical scheme for a dendritic solidification phase field model with melt convection, Journal of Computational Physics, 388(2019) 41-62. 39. Chuanjun Chen, Xiaofeng Yang, Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn–Hilliard Model, Computer Methods in Applied Mechanics and Engineering, 351(2019) 35-59. 40. Chen Xu, Chuanjun Chen, Xiaofeng Yang, Xiaoming He, Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy stable schemes, Communications in Mathematical Sciences, 17(3)(2019) 835-858. 41. Jun Zhang, Chuanjun Chen, Xiaofeng Yang, A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model, Applied Mathematics Letters, 95(2019) 122-129. 42. Chuanjun Chen, Yanping Chen, Xin Zhao, A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems, Computers and Mathematics with Applications 75(2018) 1756–1766. 43. Chuanjun Chen, Kang Li, A two-grid finite element method for nonlinear Sobolev equations, East Asian Journal on Applied Mathematics, 8(2018) 549-565. 44. Chuanjun Chen, Xin Zhao, A posteriori error estimate for finite volume element method of the parabolic equations, Numerical Methods for Partial Differential Equations, 33(2017) 259–275. 45. Chuanjun Chen, Wei Liu, A two-grid finite volume element method for a nonlinear parabolic problem. International Journal of Numerical Analysis and Modeling, 12 (2015) 197-210. 46. Chuanjun Chen, Wei Liu, Chunjia Bi, A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations, Numerical Methods for Partial Differential Equations, 29 (2013) 1543-1562. 47. Chuanjun Chen, Wei Liu, The MMOC and MMOCAA schemes for finite volume element method of convection-diffusion problems， Journal of Computational and Applied Mathematics, 236(2011) 1423–1434. 48. Chuanjun Chen, Wei Liu, Daigang Lu, Upwind finite volume element methods for one-dimensional semiconductor device, Journal of Systems Science and Complexity, 24 (2011) 1007–1019. 49. Chuanjun Chen, Wei Liu, Two-grid finite volume element methods for semilinear parabolic problems, Applied Numerical Mathematics,  60(2010) 10-18. 50. Chuanjun Chen, Wei Liu, A two-grid method for finite volume element approximations of second-order nonlinear hyperbolic equations，Journal of Computational and Applied Mathematics, 233(2010) 2975-2984. 51. Chuanjun Chen, Chunjia Bi, Two-grid methods for characteristic finite volume element solution of semilinear convection–diffusion equations, Applied Mathematics and Computation, 217(2010) 1896–1906. 52. Chuanjun Chen, Xiaohan Long, Finite volume element approximation and analysis for a kind of semiconductor device simulation, Journal of applied Mathematics and Computing, 33(2010) 155-172. 53. Chuanjun Chen, Min Yang, Chunjia Bi, Two-grid methods for finite volume element approximations of nonlinear parabolic equations, Journal of Computational and Applied Mathematics, 228(2009) 123-132. 54. Min Yang, Jiangguo Liu, Chuanjun Chen, Error estimation of a quadratic finite volume method on right quadrangular prism grids, Journal of Computational and Applied Mathematics, 229(2009) 274-282. 55. Min Yang, Chuanjun chen, ADI quadratic finite volume element methods for second order hyperbolic problems, Journal of applied Mathematics and Computing, 31(2009) 391-411. 56. Xiaohan Long, Chuanjun Chen, Implicit-Explicit multistep characteristic finite element methods for nonlinear convection-diffusion equations, Numerical Methods for Partial Differential Equations, 23(2007) 1321-1342. |
