Numerical analysis and scientific computing: finite element methods, domain decomposition, multiscale methods, and a priori and a posteriori error analysis.
Flow and transport in porous media: numerical modeling of multiphase flow, heterogeneous media, and coupled processes.
Computational mechanics: CFD–DEM modeling, fracture processes, and sand production.
Scientific machine learning: physics-informed neural networks and data-driven modeling for flow and transport.
Recent Publications
The six most recent publications are listed below.
Kazbek, R., Erlangga, Y., Amanbek, Y., & Wei, D. (2026). Isogeometric analysis for the pricing of financial derivatives with nonlinear models: Convertible bonds and options. Computational Economics, 1-33.
Merembayev, T., & Amanbek, Y. (2025). Natural fracture network model using Gaussian simulation and machine learning algorithms. Applied Computing and Geosciences, 27, 100258.
Amankeldiyeva, A., Kaumbekova, S., Khalidulliyeva, A., Salimova, Z., Ibrayeva, A., Cochennec, M., Colombano, S., Amanbek, Y., Wang, Y., & Omirbekov, S. (2025). Stability of colloidal gas aphrons based on polymer-surfactant formulations and molecular dynamics insights. Scientific Reports, 15(1), 23480.
Zhumabek, M., Kachkinova, A., Cochennec, M., Colombano, S., Amanbek, Y., Wang, Y., & Omirbekov, S. (2025). Stability and rheological characterization of colloidal gas aphrons: influence of xanthan gum and sodium dodecyl sulfate. Discover Applied Sciences, 7(5), 432.
Kalesh, D., Merembayev, T., Omirbekov, S., & Amanbek, Y. (2025). Application of physics-informed neural networks for two-phase flow model with variable diffusion and experimental validation. Results in Engineering, 26, 105439.
Team Leader, Nazarbayev University team at the Al-Khorezmi International Mathematical Olympiad, Urgench, Uzbekistan, 2018.
Team Leader, Nazarbayev University teams at the 19th and 20th International Mathematics Competition for University Students, Blagoevgrad, Bulgaria, 2012 and 2013. Responsibilities included coordinating selection with faculty, mentoring students, and organizing team participation. Team achievements included competition medals.