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He received a PhD in Computational Science, Engineering and Mathematics (CSEM) at the Oden Institute for Computational Engineering and Sciences (OICES) in the University of Texas at Austin, USA in 2018. He was at the Center for Subsurface Modeling and was supervised by Professor Mary Wheeler. In fact, the ICES (Oden institute) ranked No.1 for Interdisciplinary Applications of Mathematics. His research focuses on the numerical analysis of partial differential systems that arise in subsurface phenomena using mathematical modeling and scientific computation. His main interests are finite element methods, numerical analysis including a priori and a posteriori error analysis, scientific computing, computational transport phenomena, and numerical reservoir simulations.
He received the Best Poster Award at the 2017 Texas Applied Mathematics and Engineering Symposium, USA. He also received SIAM Travel Award and RECS Program Award, USA. In 2018, he had an externship at Schlumberger Sugar Land, Houston, Texas, USA.
As NU Team Leader, he introduced the Nazarbayev University Team at the International Mathematical Competition in 2012 (for first time) and in 2013. The best achievement was in 2013 when the NU team result ranked in the top 30 universities. He went to Al-Khorezmi International Mathematical Olympiad 2018 as Team Leader and the NU team came back with medals.
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Collaborations and top research areas from the last five years
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Novel Approaches on Interface Strengthening between Metal Surface and Polymeric Material
Gouda, S. (PI), Kalimuldina, G. (Co-PI), Montazami, R. (Co-PI), Amanbek, Y. (Co-PI), Tauanov, Z. (Co-PI) & Abbassi, F. (Co-PI)
1/1/23 → 12/31/25
Project: CRP
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The framework of the fracture network in the subsurface using data-driven models and mathematical models
Amanbek, Y. (PI), Merembayev, T. (Other Faculty/Researcher), Omirbekov, S. (Other Faculty/Researcher), Kurmanbek, B. (Other Faculty/Researcher) & Kazidenov, D. (Other Faculty/Researcher)
1/1/23 → 12/31/25
Project: Government
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Multiscale Multiphase Flow Model in Heterogeneous Porous Media
Amanbek, Y. (PI), Wheeler, M. F. (Other participant), Omirbekov, S. (Postdoctoral scholar (PhD degree holder)), Kazidenov, D. (Other participant), Merembayev, T. (Other participant) & Shovkun, I. (Other participant)
1/1/23 → 12/31/25
Project: FDCRGP
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AP09259016: Epidemiology and Forecasting of Infectious Diseases in Kazakhstan Using Big Healthcare Data, Mathematical Modeling and Machine Learning
Gaipov, A. (PI), Kashkynbayev, A. (Co-PI), Zollanvari, A. (Co-PI), Issanov, A. (Other Faculty/Researcher), Kadyrzhanuly, K. (Other Faculty/Researcher), Amanbek, Y. (Other Faculty/Researcher), Ashimkhanova, A. (Other Faculty/Researcher), Abbay, A. (Other Faculty/Researcher), Syssoyev, D. (Other Faculty/Researcher), Mussina, K. (Other Faculty/Researcher), Yerdessov, S. (Other Faculty/Researcher) & Alimbayev, A. (Other participant)
1/1/21 → 12/31/23
Project: Government
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АР08052762: Effect of Flow through Porous Media on Sanding Phenomena in Poorly Consolidated Reservoirs
Amanbek, Y. (PI), Omirbekov, S. (Other Faculty/Researcher), Zhanabayeva, M. (Other Faculty/Researcher), Merembayev, T. (Other Faculty/Researcher) & Kazidenov, D. (Other Faculty/Researcher)
5/1/20 → 12/31/22
Project: Government
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Application of physics-informed neural networks for two-phase flow model with variable diffusion and experimental validation
Kalesh, D., Merembayev, T., Omirbekov, S. & Amanbek, Y., Jun 2025, In: Results in Engineering. 26, 105439.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
CFD-DEM modeling of fracture initiation with polymer injection in granular media
Kazidenov, D. & Amanbek, Y., Feb 2025, In: Particuology. 97, p. 58-68 11 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
Comparison of the Different CFD Coupled DEM Models for Polymer Flooding
Amanbek, Y., Kazidenov, D. & Omirbekov, S., 2025, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Sequeira, A., Silvestre, A., Valtchev, S. S. & Janela, J. (eds.). Springer Science and Business Media Deutschland GmbH, p. 73-82 10 p. (Lecture Notes in Computational Science and Engineering; vol. 153 LNCSE).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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Experimental and numerical study of the effect of polymer flooding on sand production in poorly consolidated porous media
Kazidenov, D., Omirbekov, S., Zhanabayeva, M. & Amanbek, Y., Jun 2025, In: Geoenergy Science and Engineering. 249, 213746.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part
Kurmanbek, B., Erlangga, Y. & Amanbek, Y., Jan 1 2025, In: Special Matrices. 13, 1, 20240032.Research output: Contribution to journal › Article › peer-review
Open Access