Dr. Chaikovskii Dmitrii

Senior Lecturer

Contact Information:

Postal address: Shenzhen MSU-BIT University, 1 International University Park Road, Longgang District, 518172 Shenzhen, Guangdong Province, P.R. China.

Office: Room 333, Main Building.

Email: dmitriich@smbu.edu.cn

Education
PhD in Applied Mathematics, East China Normal University, 2020.

MS in Mechanics and Mathematics, Lomonosov Moscow State University, 2014.

BS in Materials Science, International University Dubna, 2012.

Professional Appointments
Aug. 2023 – present, Senior Lecturer, Faculty of Computational Mathematics and Cybernetics, Shenzhen MSU-BIT University.
Sep. 2020 – Aug. 2023, Postdoc, Faculty of Computational Mathematics and Cybernetics, Shenzhen MSU-BIT University.

Fundings

Principal investigator:

►01/2024 -- 12/2025, National Natural Science Fund of China (Grant No. 12350410359), Principal Investigator, (外国学者研究基金项目, 400000 CNY).

►11/2013 -- 06/2014, Foundation for Assistance to Small Innovative Enterprises in Science and Technology (Moscow, RU), (Grant No.  726ГУ1/2013), Principal investigator.

Participant:

►01/2022--12/2025, National Natural Science Foundation of China (NSFC), 液相色谱法反问题的数学建模与新正则化方法, (Grant No. 12171036), Participant, (面上项目, 510000 CNY).

► 08/2021--08/2025, Beijing Natural Science Foundation (Grant No. Z210001), Modern Regularization Methods of Inverse Problems and Their Applications, Participant, (重点项目, 2 million CNY)

► 01/2021--12/2022, Shenzhen Science and technology innovation Commission (Grant No. 20200827173701001), New algroithms of inverse problems and their applications, Participant, (稳定支持项目, 500000 CNY).

► 01/2019--12/2022, National Natural Science Foundation of China, (Grant No. 11871217), 右端不连续奇摄动系统的多尺度研究, Participant, (面上项目, 530000 CNY).

Publications (*Corresponding author)

[12] Melnikov B. and Chaikovskii D.*. Some General Heuristics in the Traveling Salesman Problem and the Problem of Reconstructing the DNA Chain Distance Matrix. In 2023 7th International Conference on Computer Science and Artificial Intelligence (CSAI 2023), December 08--10, 2023, Beijing, China. ACM, New York, NY, USA 8 Pages. https://doi.org/10.1145/3638584.3638607

[11] Melnikov B., Terentyeva.Yu., Chaikovskii.D.. On the application of heuristic algorithms for solving the pseudogeometric version of the traveling salesman problem for the design of communication networks.  Informatization and communication, 2023, № 4, 7-16. https://doi.org/10.34219/2078-8320-2023-14-4-7-16

[10] Lysak T., Zakharova I., Kalinovich A., and Chaikovskii D.. Self-similar light beams at the second harmonic generation in a PT-symmetry structure with strong Bragg coupling at both frequencies, Proc. SPIE 12775, Quantum and Nonlinear Optics X, 1277513 (26 November 2023). https://doi.org/10.1117/12.2686020

[9] Zakharova, I.G., Lysak, T.M., Kalinovich, A.A., Chaikovskii D.. Reflective Properties of Active Layered Media when Generating the Second Optical Harmonic. Bull. Russ. Acad. Sci. Phys. 87, 1791–1795 (2023). https://doi.org/10.1134/S1062873823704075

[8] Melnikov B, Terentyeva Y., Chaikovskii D.*. Pseudogeometric version of the traveling salesman problem: application in quantum physics models and a heuristic variant of point placement. Cybernetics and physics, Vol. 12, No. 3, 2023, 194-200. https://doi.org/10.35470/2226-4116-2023-12-3-194-200

[7] Chaikovskii D., Zhang Y.. Solving forward and inverse problems involving a nonlinear three-dimensional partial differential equation via asymptotic expansions. IMA Journal of Applied Mathematics, 2023, 88, 525-557. https://doi.org/10.1093/imamat/hxad021

[6] Chaikovskii D., Liubavin A., Zhang Y.. Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs. CSIAM Transactions on Applied Mathematics, 2023, 4(4), 721-757.

[5] Melnikov B., Zhang Y., Chaikovskii D.*. An algorithm for the inverse problem of matrix processing: DNA chains, their distance matrices and reconstructing. Journal of Biosciences and Medicines, 2023, 11, 310-320.

[4] Melnikov B., Zhang Y., Chaikovskii D.*. An inverse problem for matrix processing: an improved algorithm for restoring the distance matrix for DNA chains. Cybernetics and Physics, 2022, 11(4), 217–226.

[3] Chaikovskii D., Zhang Y. Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations. Journal of Computational Physics, 2022, 470, 111609.

[2] Chaikovskii D, Ming Kang Ni. Internal layers for a singularly perturbed differential equation with Robin boundary value conditions. Journal of East China Normal University (Natural Science), 2020(2): 23-34.

[1] Chaikovskii D, Ming Kang Ni. Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side with Neumann and Dirichlet boundary conditions. Austrian Journal of Technical and Natural Sciences, Vienna, 2017, 11-12: 25-31.

Teaching:

1) Introduction into specialty, seminars, faculty of CMC (Spring 2021 - 240 hours, Spring 2022 – 180 hours, Spring 2023 - 144 hours, Spring 2024 - 144 hours).

2) Algebra and geometry part 1, seminars, faculty of CMC (Autumn 2021 – 72 hours, Autumn 2022 – 144 hours, Autumn 2023 - 144 hours).

3) Algebra and geometry part 2, seminars, faculty of CMC (Spring 2024 - 144 hours).

4) Mathematical analysis part 3, seminars, faculty of CMC (Autumn 2023 - 144 hours).