My publications

• T. Cui, H. De Sterck, A. D. Gilbert, S. Polishchuk, R. Scheichl. Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems. Journal of Scientific Computing 99, 77 (2024). https://doi.org/10.1007/s10915-024-02539-9.
• Advanced multi-level and multi-index Monte Carlo methods in uncertainty quantification, Ph.D. thesis, Monash University, 2022.

• Numerical homogenization on the basis of multiscale discontinuous Galerkin methods to determine the effective thermal characteristics, Siberian Electronic Mathematical Reports, 2016. Submitted.

• S.Y. Polishchuk, H. De Sterck, T. Cui. Multi-level and multi-index Monte Carlo discontinuous Galerkin methods for uncertainty quantification of nonlinear hyperbolic problems, SIAM Conference of Computational Science and Engineering (CSE19), February 25 - March 1, 2019.
• S.Y. Polishchuk. Computing of the effective coefficients via multiscale discontinuous Galerkin method, SIAM Conference on Computational Science and Engineering (CSE17), February 27 - March 3, 2017.
• S.Y. Polishchuk. Numerical modeling of Stefan problems on the basis of multiscale discontinuous Galerkin methods, Novosibirsk State Technical University Conference. Science. Technology. Innovation. 2016, December 05 - 09, 2016.
• S.Y. Polishchuk. Mathematical modeling of heat-transfer problems with phase transitions on the basis of multiscale disconituous Galerkin methods, XVII Russian Conference of Young Scientists on Mathematical Modeling and Infromation Technology, Institute of Computational Mathematics and Mathematical Geophysics Siberian Branch of the Russian Academy of Sciences, Novosibirsk, October 31 - November 03, 2016.
• S.Y. Polishchuk. Research and computation of the effective thermal characteristics, 8th Intertanional Youth Scientific Conference "Theory and Numberical Methods of Solutions of Inverse and Ill-posed Problems", Institute of Computational Mathematics and Mathematical Geophysics Siberian Branch of the Russian Academy of Sciences, Novosibirsk, September 01 - 07, 2016, 153 pp.
• S.Y. Polishchuk. Mathematical modeling of processes with phase transitions via multiscale discontinuous Galerkin method, Proceedings of the 54th International Students Scientific Conference, Mathematics/Novosibirsk State University, Novosibirsk, Russian Federation, 2016, 236 pp.