Assistant Professor in Applied Mathematics, Mathematical Sciences
I joined the Department of Mathematical Sciences at Florida Tech in August 2015 as a Visiting Assistant Professor and from August 2016 I am taking here the permanent faculty position of the Assistant Professor in Applied Mathematics. My Ph.D. degree in Computational Engineering & Science was obtained under the supervision of Prof. Bartosz Protas, Dept. of Mathematics & Statistics at McMaster University, in January 2012. After my graduation I spent three and a half years as a Postdoctoral Research Fellow at the Department of Energy Resources Engineering at Stanford University working under the mentorship of co-directors of the Smart Fields Consortium Prof. Khalid Aziz and Prof. Louis J. Durlofsky.
My current scientific interests lie in, but are not limited to, the areas of applied mathematics focusing on combining theoretical and computational methods for problems in fluid dynamics, optimization and control theory. I have a strong background in applied mathematics involving PDEs, inverse problems and scientific computing as well as wide-ranging experience in working on interdisciplinary projects including industrial components.
I have openings for well-qualified students pursuing graduate, either master’s or doctoral, degrees in applied mathematics and operations research. I look for candidates with a strong background in applied mathematics, mathematical modelling, optimization as well as scientific computing. Please contact me directly if you meet these criteria and would like to join my research group.
Ph.D., Computational Engineering and Science, McMaster University, Ontario, Canada, 2012
M.Sc., Computer Science (with distinction), Vitebsk State University, Belarus, 1999
B.Sc., Mathematics and Physics, Vitebsk State University, Belarus, 1997
Recognition & Awards
2018 | NSF/ICERM Travel Award to attend 2018 ICERM Topical Workshop, Brown University, RI
2018 | Mobility Program Award to attend 2018 IWR School, Heidelberg University, Germany
2018 | NSF/CBMS Travel Award to attend 2018 NSF-CBMS, Jackson State University, MS
2017 | NSF/SIAM Early Career Travel Award to attend SIAM GS17, Erlangen, Germany
2017 | NSF/AMS Travel Award to attend MCA 2017, Montreal, Canada
2012-2015 | Smart Fields Consortium Postdoctoral Research Fellowship. Energy Resources Engineering Dept., Stanford University
2013 | The 2012 Cecil Graham Doctoral Dissertation Award. Canadian Applied and Industrial Mathematics Society (CAIMS)
2011 | Applied Mathematics Perspectives (AMP 2011) Poster Competition - Second Prize. Canadian Applied and Industrial Mathematics Society (CAIMS)
2011 | Ontario Graduate Scholarship (OGS). Ministry of Training, Colleges and Universities, Ontario, Canada
2010 | Ontario Graduate Scholarship (OGS). Ministry of Training, Colleges and Universities, Ontario, Canada
- MTH 5051 - Applied Discrete Mathematics
- MTH 2201/2202 - Differential Equations / Linear Algebra for Differential Equations
- MTH 3107 - Optimization
- MTH 2001 - Calculus 3
- MTH 2201 / 2202 - Differential Equations / Linear Algebra
- MTH 3210 - Introduction to PDEs & Applications
- MTH 5107 / ORP 5010 - Optimization Models and Methods / Mathematical Programming
- MTH 5007 / ORP 5001 - Introduction to Optimization / Deterministic OR Models
- MTH 6300 - Topics in Numerical and Computational Mathematics: Numerical Optimizations
2018 (Jun - Jul) | Visiting Assistant Professor (2 weeks), Dept. of Energy Resources Engineering, Stanford University, CA
2017 (Jun - Jul) | Visiting Assistant Professor (4 weeks), Dept. of Energy Resources Engineering, Stanford University, CA
2016 (Jul - Aug) | Visiting Assistant Professor (2 weeks), Dept. of Energy Resources Engineering, Stanford University, CA
2015 - 2016 | Visiting Assistant Professor in Applied Mathematics, Dept. of Mathematical Sciences, Florida Institute of Techology, FL
2012 - 2015 | Postdoctoral Research Fellow, Dept. of Energy Resources Engineering, Stanford University, CA. Project "Production and History Matching Optimization using Automatic Differentiation Techniques" (funded by Smart Fields Consortium, Stanford University)
2008 - 2012 | Research Assistant, Dept. of Mathematics & Statistics, McMaster University, Canada. Project "Computational Methods for the Optimal Reconstruction of Material Properties in Complex Multiphysics Systems" (in collaboration with General Motors of Canada)
2000 - 2002 | Research Assistant, Lykov Heat & Mass Transfer Institute, Minsk, Belarus. Project "The Physical and Mathematical Description of Processes of the Heat and Mass Transfers in Human Skin at Photodynamic Tumors Therapy" (grant of the Belarussian Fund of Fundamental Research)
Funding Agencies: DOE Office of Science – Advanced Scientific Computing Research (ASCR) Program
Professional Journals: Journal of Computational and Applied Mathematics, Computers and Mathematics with Applications (Elsevier); International Journal of Computer Mathematics (Taylor & Francis); Mathematical Geosciences, Computational Geosciences (Springer); Applied Mathematics (Scientific Research Publishing)
Scientific Societies Membership
Society for Industrial and Applied Mathematics (SIAM), American Mathematical Society (AMS)
Current and past research directions:
Referred Journal Publications
- Abdulla U. G., Bukshtynov V., Hagverdiyev A. Gradient Method in Hilbert‑Besov Spaces for the Optimal Control of Parabolic Free Boundary Problems, Journal of Computational and Applied Mathematics 346 (2019), 84-109.
- Volkov O., Bukshtynov V., Durlofsky L.J. and Aziz K. Gradient-based Pareto Optimal History Matching for Noisy Data of Multiple Types, Computational Geosciences 22(6) (2018), 1465-1485.
- Abdulla U. G., Bukshtynov V., Seif S. Breast Cancer Detection through Electrical Impedance Tomography and Optimal Control Theory: Theoretical and Computational Analysis (submitted to SIAM Journal of Applied Mathematics).
- Bukshtynov V., Volkov O., Durlofsky L.J. and Aziz K. Comprehensive Framework for Gradient-based Optimization in Closed-Loop Reservoir Management, Computational Geosciences 19(4) (2015), 877-897.
- Bukshtynov V., Protas B. Optimal Reconstruction of Material Properties in Complex Multiphysics Phenomena, Journal of Computational Physics 242 (2013), 889-914.
- Bukshtynov V., Volkov O., Protas B. On Optimal Reconstruction of Constitutive Relations, Physica D: Nonlinear Phenomena 240 (2011), 1228-1244.
- Shulman Z., Makhanek A., Bukshtynov V., Gubarev S. Statement of Thermophysical Problems of Photodynamic Tumors Therapy, Heat & Mass Transfer – 2001 (National Academy of Science, Belarus) (2002), 122–128 (in Russian).
- Bochkin A., Bukshtynov V. Method of Two–Sided Interpolation Using Square Functions, Bulletin of Vitebsk State University, 1(15) (2000), 90–93 (in Russian).
- Bochkin A., Bukshtynov V. About a Uniform Approach of Error Estimation in the Course Numerical Methods, Infarmatyzatsia Adukatsii, 4 (1998), 115–120 (in Russian).
- Computational Methods for the Optimal Reconstruction of Material Properties in Complex Multiphysics Systems, Ph.D. Dissertation, McMaster University, Open Access Dissertation and Theses. Paper 6795. http://hdl.handle.net/11375/11859, (2012)
- Two-sided Error Estimations in the Courses Numerical Methods and Modeling, M.Sc. Thesis, Vitebsk State University (1999)
- Bukshtynov V., Polyak E. Higher Mathematics, Vitebsk State Medical University Text-book (Calculus with elements of Mathematical Statistics) for the 2nd year students of Pharmaceutical Dept, with instructions and assignment problems, 100pp. (2002, 2012)
Research and Technical Reports
- Volkov O., Kourounis D., Bukshtynov V. Optimization Module of AD-GPRS. Department of Energy Reservoirs Engineering, SUPRI-B, Stanford University (2014)
- Voskov D., Zaydullin R., Garipov T., Iskhakov R., Zhou Y., Volkov O., Kourounis D., Semenova A., Bukshtynov V. Reservoir Simulator AD-GPRS. User Manual, version 1.0. Department of Energy Reservoirs Engineering, SUPRI-B, Stanford University (2013)
- Atena A., Yapalparvi R., Bukshtynov V., Protas B. Optimization and Parameter Estimation in MIG Welding – Multi-Objective Framework and Modelling Mass Transfer with Effective Surfaces, Report #4 for a Collaborative Research Project with GM (2011)
- Atena A., Yapalparvi R., Bukshtynov V., Volkov O., Protas B. Optimization and Parameter Estimation in MIG Welding – Towards Multi-Objective Framework and Modelling Mass Transfer with Effective Surfaces, Report #3 for a Collaborative Research Project with GM (2010)
- Volkov O., Yapalparvi R., Bukshtynov V., Protas B. Modelling, Optimization and Estimation of the Systems Involving Interaction with Plasma Column, Report #2 for a Collaborative Research Project with GM (2009)
- Volkov O., Bukshtynov V., Protas B. A Unified Approach to Solving Free-Boundary and Inverse Problems for a Stationary Weld Pool, with Some Notes on the Related Problem of Parameter Estimation, Report #1 for a Collaborative Research Project with GM (2008)
- Makhanek A. et al. The Physical and Mathematical Description of Processes of Heat and Mass Transfer in Human Skin During Photodynamic Therapy of Tumours, Report #4 for Luikov Heat and Mass Transfer Institute, National Academy of Science, Belarus (2002)