头像
曹凯
副教授
数学学院
计算数学系
电话:
邮箱:
kcao@seu.edu.cn
地址:
九龙湖校区图书馆522
邮编:
211189
  • 曹凯,博士,主要从事(确定或随机)偏微分方程反问题理论与数值算法的研究,欢迎对该研究方向感兴趣的同学报考硕士/博士研究生,请邮件联系。
    东南大学数学学院,博士生导师。
  • 论文 (*--corresponding author)


    17. Cao, K.; Lesnic, D.* Determination of the time-dependent effective ion collision frequency from an integral observation. J. Inverse Ill-Posed Probl. 32 (2024), no.4, 761-793.


    16. Cao, K.; Lesnic, D.* Reconstruction of the time-dependent source in thermal grooving by surface diffusion. J. Comput. Appl. Math. 444 (2024), 115789, 23 pp.


    15. Brander T.; Lesnic, D.*; Cao, K. Inverse Problems for model of bilmodel growth. IMA J. Appl. Math. 88 (2023), no.2, 258-281.


    14. Cao, K.* Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation. J. Inverse Ill-Posed Probl. 32 (2024), no.3, 361-387.


    13. Cao, K.* Recovery of the time-dependent zero-order coefficient in a fourth-order parabolic problem. Numer. Methods Partial Differential Equations 39 (2023), no.3, 2652–2689.


    12. Cao, K.Convergence rate analysis of the coefficient identification problems in a Kuramoto–Sivashinsky equation. Inverse Problems 39 (2023), no.1, Paper No. 015006, 42 pp.


    11. Cao, K.* Determination of the space-dependent source term in a fourth-order parabolic problem. Appl. Math. Optim. 86 (2022), no. 2, Paper No. 24, 40 pp.


    10. Cao, K.* Convergence rates for the reaction coefficient and the initial temperature identification problems. Appl. Anal. 101 (2022), no. 7, 2472–2497.


    9. Cao, K.*; Lesnic, D. Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term. J. Inverse Ill-Posed Probl. 29 (2021), no. 6, 867–894.


    8. Cao, K.; Lesnic, D.*; Ismailov, Mansur I. Determination of the time-dependent thermal grooving coefficient. J. Appl. Math. Comput. 65 (2021), no. 1-2, 199–221.


    7. Cao, K.; Lesnic, D.*; Liu, J. J. Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature. J. Comput. Appl. Math. 375 (2020), 112800, 18 pp.


    6. Cao, K.; Lesnic, D.* Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times. Comput. Math. Appl. 78 (2019), no. 10, 3237–3249.


    5. Cao, K.; Lesnic, D.*; Colaco, M. J. Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements. Inverse Probl. Sci. Eng. 27 (2019), no. 10, 1372–1398.


    4. Cao, K.; Lesnic, D.* Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements. Appl. Math. Model. 68 (2019), 523–539.


    3. Cao, K.; Lesnic, D.* Determination of space-dependent coefficients from temperature measurements using the conjugate gradient method. Numer. Methods Partial Differential Equations 34 (2018), no. 4, 1370–1400.


    2. Cao, K.; Lesnic, D.* Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements. J. Comput. Appl. Math. 337 (2018), 150–165.


    1. Cao, K.; Lesnic, D.* Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method. Int. J. Comput. Math. 95 (2018), no. 4, 797–814.

  • 国家自然科学基金青年项目,2022.1-2024.12,主持

    江苏省自然科学基金青年项目,2020.7-2023.6,主持

    国家自然科学基金面上项目,2023.1-2026.12,参与

    国家自然科学基金面上项目,2021.1-2024.12,参与


    江苏省双创博士

    东南大学至善学者(B类),2020.1-2022.12

    东南大学第30届青年教师授课竞赛二等奖,2023.


    硕士研究生:

    闫芳(2022级)

    朱莹(2023级)

    徐迎轩(2024级)