[32]  Z. Jiang, C. Quan, X. Zhao, A Class of High-Order Unconditional Maximum Principle-Preserving Extended IFRK Schemes for the Allen-Cahn Equation, SIAM Journal of Scientific Computing (to appear).

[31] C. Quan, T. Tang, D. Wang, Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation, Journal of Differential Equations, 113825, 2026.

[30] M. Gao, C. Quan, Z. Zhang, Convergence analysis of a novel Strang directional splitting method for the Allen–Cahn equations, Journal of Computational and Applied Mathematics, 116868, 2026. (link)

[29] C. Quan, X. Wang, P. Zheng, Z. Zhou, Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations, IMA Journal of Numerical Analysis (to appear). (link)

[28] X. Liu, Y. Maday, C. Quan, H. Zhang, Convergence analysis of a solver for the linear Poisson--Boltzmann model, SIAM Journal on Numerical Analysis, 65 (3), 2025. (link)

[27] Y. Liu, C. Quan, D. Wang, Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation, IMA Journal of Numerical Analysis, 2025. (link)

[26] C. Quan, T. Tang, and J. Yang, Numerical energy dissipation for time-fractional phase-field equations, Journal of Computational Mathematics, 43 (3), pp. 515-539, 2025. (link)

[25] C. Quan, S. Wang, X. Wu, Roundoff error problems in interpolation methods for time-fractional problems, Applied Numerical Mathematics, 203, 202-224, 2024. (link)

[24] C. Quan, X. Wu, and J. Yang, Long time H1-stability of fast L2-1σ method on general nonuniform meshes for subdiffusion equations, Journal of Computational and Applied Mathematics, 440, 115647, 2024. (link)

[23] C. Quan, X. Wu, H1-norm stability and convergence of an L2-type method on nonuniform meshes for subdiffusion equation, SIAM Journal on Numerical Analysis, 61(5), 2106-2132, 2023. (link)

[22] C. Quan, T. Tang, B. Wang, and J. Yang, A decreasing upper bound of energy for time-fractional phase-field equations, Communications in Computational Physics, 33, pp. 962-991, 2023. (link)

[21] C. Quan, X. Wu, Global-in-time stability of L2-1σ method on general nonuniform meshes for subdiffusion equation, Journal of Scientific Computing, 2023. (link)

[20] A. Jha, M. Nottoli, A. Mikhalev, C. Quan, B. Stamm, Computation of forces arising from the linear Poisson--Boltzmann method in the domain-decomposition paradigm, Journal of Chemical Physics, 2023. (link)

[19] C. Quan, B. Wang, Energy stable L2 schemes for time-fractional phase-field equations, Journal of Computational Physics, 458, 111085, 2022. (link)

[18] D. Li, C. Quan, T. Tang, and W. Yang, Sharp convergence to steady states of Allen-Cahn, Communications in Mathematical Analysis and Applications,  1, pp. 355-394, 2022. (link)

[17] D. Li, C. Quan, J. Xu, Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation, Journal of Computational Physics, 458, 111087, 2022. (link)

[16] D. Li, C. Quan, J. Xu, Stability and convergence of Strang splitting. Part II: Tensorial Allen-Cahn equations, Journal of Computational Physics, 454(4): 110985, 2022. (link)

[15] D. Li, C. Quan, T. Tang, and W. Yang, On symmetry breaking of Allen-Cahn, CSIAM Transactions on Applied Mathematics, 2022. (link)

[14] D. Li, C. Quan, The operator-splitting method for Cahn-Hilliard is stable, Journal of Scientific Computing, 90(62), 2022. (link)

[13] D. Li, C. Quan, and T. Tang, Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation, Mathematics of Computation 91(334): 785–809, 2022. (link)

[12] D. Li, C. Quan, and W. Yang, The BDF3/EP3 scheme for MBE with no slope selection is stable, Journal of Scientific Computing 89(2), 2021. (link)

[11] X. Cheng, D. Li, C. Quan, and W. Yang, On a parabolic sine-Gordon model, Numerical Mathematics: Theory, Methods and Applications, Vol. 14, No. 4, pp. 1068-1084, 2021. (link)

[10] R. Boto, F. Peccati, R. Laplaza, C. Quan, A. Carbone, J.-P. Piquemal, Y. Maday, and J. Contreras-García, NCIPLOT and the analysis of noncovalent interactions using the reduced density gradient, WIREs Computational Molecular Science, E1497, 2021. (link)

[9] C. Quan, T. Tang, and J. Yang, How to define dissipation-preserving energy for time-fractional phase-field equations,  CSIAM Transactions on Applied Mathematics, 1(3), 478-490, 2020. (link)

[8] H. Gong, Y. Yu, Q. Li, C. Quan, An inverse-distance-based fitting term for 3D-Var data assimilation in nuclear core simulation, Annals of Nuclear Energy 141, 107346, 2020. (link)

[7] R. Boto, F. Peccati, R. Laplaza, C. Quan, A. Carbone, J.-P. Piquemal, Y. Maday, and J. Contreras-García, NCIPLOT4: Fast, robust and quantitative analysis of noncovalent interactions, Journal of Chemical Theory and Computation, 16(7), 4150–4158, 2020. (link)

[6] X. Duan, C. Quan, B. Stamm, A boundary-partition-based diagram of d-dimensional balls: Definition, properties and applications, Advances in Computational Mathematics 46(44), 2020. (link)

[5] C. Quan, B. Stamm, Y. Maday, A domain decomposition method for the Poisson-Boltzmann solvation models, SIAM Journal on Scientific Computing 41(2), B320-B350, 2019. (link)

[4] E.B. Lindgren, C. Quan, B. Stamm, Theoretical analysis of screened many-body electrostatic interactions between charged polarizable particles, Journal of Chemical Physics 150, 044901, 2019. (link)

[3] C. Quan, B. Stamm, Y. Maday, A domain decomposition method for the polarizable continuum model based on the solvent excluded surface, Mathematical Models and Methods in Applied Sciences 28(07), 1233-1266, 2018. (link)

[2] C. Quan, B. Stamm, Meshing molecular surfaces based on analytical implicit representation, Journal of Molecular Graphics and Modelling 71, 200-210, 2017. (link)

[1] C. Quan, B. Stamm, Mathematical analysis and calculation of molecular surfaces, Journal of Computational Physics 322, 760-782, 2016. (link)