Home / People / Research sequence / Chaoyu Quan
Chaoyu Quan
Research Assistant Professor
Research interest: Scientific computing; Numerical analysis
26920864-8027
quancy@sustech.edu.cn

Positions

2022.02 – 

Research Assistant Professor, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China.

2018.12 – 2022.01

Research Associate, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China.

2017.11  –  2018.11 

PostDoc, Institut des Sciences du Calcul et des Données, Université Pierre et Marie Curie (Paris 6), Sorbonne Université, Paris, France.


Education

2014.10 – 2017.10

PhD in Mathematics, Laboratoire Jacques–Louis Lions, Université Pierre et Marie Curie, France, supervised by Prof. Yvon Maday and Prof. Benjamin Stamm.

2013.09 – 2014.09

MS in Applied Mathematics, Université Paris Dauphine (Paris 9), France, supervised by Prof. Yvon Maday.

2009.09 – 2013.07

BS in Computational Mathematics, University of Science and Technology of China, Hefei, China.


Grants & Awards

2023.01 – 2026.12

NSFC Grant, General Program (PI, RMB 460,000), No. 12271241.

2022.04 – 2025.04

Shenzhen Science and Technology Program (PI, RMB 2 million), 20210609104358076.

2021.01 – 2022.12

Stable Support Plan Program of Shenzhen Natural Science Fund, General Program (PI, RMB 500,000), 20200925160747003.

2019.10 – 2022.09

Guangdong Basic and Applied Basic Research Foundation, General Program (PI, RMB 100,000), 2020A1515010336.

2020.01 – 2022.12

NSFC Grant, National Science Foundation for Young Scientists of China (PI, RMB 250,000), No. 11901281.

2019.05 – 2024.05

Overseas High-Caliber Personnel in Shenzhen, Level C.


Students

Shijie Wang (master student)


Publications

Journal Articles

[18] D. Li, C. Quan, T. Tang, and W. Yang, Sharp convergence to steady states of Allen-Cahn, Communications in Mathematical Analysis and Applications, 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] C. Quan, B. Wang, Energy stable L2 schemes for time-fractional phase-field equations, Journal of Computational Physics, 458, 111085, 2022. (link)

[15] 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)

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

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

[12] 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)

[11] 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)

[10] 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)

[9] 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)

[8] 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)

[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)


Preprints

[1] C. Quan, T. Tang, and J. Yang, Numerical energy dissipation for time-fractional phase-field equations, arXiv:2009.06178, 2020.

[2] X. Cheng, D. Li, C. Quan, and W. Yang, On a sinc-type MBE model, arXiv:2106.16193, 2021.

[3] D. Li, C. Quan, On the energy stability of Strang-splitting for Cahn-Hilliard, arXiv:2107.05349, 2021.

[4] D. Li, C. Quan, Negative time splitting is stable, arXiv:2107.07332, 2021.

[5] D. Li, C. Quan, W. Yang, An F-modulated stability framework for multistep methods, arXiv:2111.05210, 2021.

[6] C. Quan, T. Tang, B. Wang, and J. Yang, A decreasing upper bound of energy for time-fractional phase-field equations, arXiv:2202.12192, 2022

[7] A. Jha, M. Nottoli, C. Quan, B. Stamm, Computation of forces arising from the linear Poisson--Boltzmann method in the domain-decomposition paradigm, arXiv:2203.00552, 2022.

[8] X. Liu, Y. Maday, C. Quan, H. Zhang, On an interior-exterior nonoverlapping domain decomposition method for the Poisson--Boltzmann equation, arXiv:2204.07958, 2022.

[9] C. Quan, X. Wu, H1-stability of an L2-type method on general nonuniform meshes for subdiffusion equation, arXiv:2205.06060, 2022.

[10] C. Quan, X. Wu, On stability and convergence of L2-1σ method on general nonuniform meshes for subdiffusion equation, arXiv:2208.01384, 2022.

[11] C. Quan, X. Wu, J. Yang, Long time H1-stability of fast L2-1σ method on general nonuniform meshes for subdiffusion equations, arXiv:2212.00453, 2022.


Packages

I am a developer of CompMolSurf (github) for molecular surface visulization, of NCIPLOT4.0 (github) for noncovalent interaction visualization, and of ddLPB (github) included by ddX (github) for calculating electrastatic solvation energy and forces.  


Talks

Jan. 2022    Tianyuan Mathematical Center in Central China, Wuhan, China.

Dec. 2021    Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.

Nov. 2021    Harbin Institute of Technology (Shenzhen), Shenzhen, China.

June 2021    Jiangsu Normal University, Xuzhou, China.

Apr. 2021    Workshop on Mathematical Models and Numerical Methods in Multiscale Physical Processes, Beijing Normal University, Zhuhai, China.

Apr. 2021    International Workshop on Mathematical Theory, Methods and Application in Materials Simulation, Shanghai Jiao Tong University, Shanghai, China.

Dec. 2020    Workshop on Mathematical Methods for Multi-physics Problems: Analysis & Numerics, Shenzhen, China.

Dec. 2020    DD26 - 26th International Domain Decomposition Conference, Hong Kong, China.

Nov. 2020    Xiamen University, Xiamen, China.

Nov. 2020    CSIAM Annual Meeting, Changsha, China.

Nov. 2019    Beijing Normal University, Beijing, China.

Sep. 2019    CSIAM Annual Meeting 2019, Foshan, Guangdong, China.

Aug. 2019    Tianyuan Mathematical Center in Northeast China, Changchun, Jilin, China.

Aug. 2019    Qufu Normal University, Qufu, Shandong, China.

June 2019    CCES, RWTH Aachen University, Aachen, Germany.

June 2019    The Mathematics of Finite Elements and Applications, Brunel University, London, UK.

June 2019    Workshop on Recent Developments in Numerical Methods for Differential Equations, SUSTech, Shenzhen, China.

Apr. 2019    CUHK–SUSTech Joint Workshop, SUSTech, Shenzhen, Guangdong, China.

Mar. 2019    Wuhan University, Wuhan, Hubei, China.

Feb. 2018    Invited visit for two weeks at Gaussian Inc, Wallingford, USA.

Jan. 2017    Young Researchers Workshop on Mathematical Methods in Quantum Chemistry, Paris, France.

Mar. 2016    CCES, RWTH Aachen University, Aachen, Germany.

Dec. 2015    La Matinée des Jeunes Chercheurs, Institut du Calcul et de la Simulation, Paris, France.

Oct. 2015    Workshop on Coupling Atomistic with Continuum Models, Laboratoire Jacques–Louis Lions, Paris, France.