Pavel Dubovski (pdubovsk)

Pavel Dubovski

Teaching Professor

Charles V. Schaefer, Jr. School of Engineering and Science

Department of Mathematical Sciences

North Building 321
(201) 216-5426
(201) 216-8321
Website

Education

  • Other (2000) Institute of Numerical Mathematics RAS (Mathematical Physics)
  • PhD (1989) Moscow State University (Mathematical Physics)
  • MS (1984) Moscow Engineering Physics Institute (Applied Mathematics)

Research

Fractional Differential Equations
Kinetic Equations and Conservation Laws
Integral Equations
Integrable Probability
Inverse Problems
Statistical Physics

Experience

(1) Teaching:
Calculus – all levels,
Intermediate Ordinary Differential Equations (Dynamic Systems),
Linear Algebra, Discrete Mathematics, Partial Differential Equations,
Real Analysis, Functional Analysis, Complex Analysis,
Inverse Problems, Differential Geometry.
New and upgraded courses: Functional Analysis; Inverse Problems; Integral Equations; Differential Equations

(2) Research:
Mathematical Physics and Mathematical Modeling
Organizer of Conferences and Workshops (the last - in 2021)
Core participant in one-semester program in Kinetic Equations at the Institute of Pure &Applied Mathematics (UCLA, spring 2009)

(3) Research with undergraduate and graduate students.
Summer research programs (co-op and Technogenesis) with 5 undergraduate students. Four Ph.D. students defended their theses; award for the best Ph.D. dissertation (2021 and 2022).
In 2022 three supervised Stevens undergraduate students received research grant from the State of New jersey.

(4) Services:
APAR Faculty Committee, Reappointment Committee, Search Committee, PhD exams committee, SES and Department Search Committees

Institutional Service

  • Stevens Mathematical Olympiad Chair
  • Search Committee for new faculty Member
  • Stevens Mathematical Olympiad Chair
  • Search Committee for new faculty Member
  • Stevens Mathematical Olympiad Chair
  • Chair Search Committee Member
  • Stevens Mathematical Olympiad Chair
  • Graduate Students Summer Research Presentation seminar Member
  • Stevens Mathematical Olympiad Chair
  • Stevens Mathematical Olympiad Chair
  • Stevens Math Club Chair

Professional Service

  • reviewer
  • reviewer
  • Lebesgue Journal/ Math Methods in Applied Sciences Reviewer
  • The Journal of Analysis Reviewer
  • American Mathematical Society: Special Session Co-organizer
  • Mathematical Reviews/ Journal of Applied Analysis/ Appl. Math. Inf. Sci. Reviewer

Appointments

Stevens Institute of Technology since 2003.

Innovation and Entrepreneurship

Started Mathematical Circles outreach activity (2007)
Organizer of the Stevens Mathematical Club (since 2010)
Coach of the Stevens Putnam Competition team (fell in top 20% nationwide in 2019)
Executive Founder of the Stevens Mathematical Olympiads project (since 2015)

Honors and Awards

Stevens Institute of Technology - award for advising in Technogenesis summer programs;
Best Ph.D. dissertation awards for advising Ph.D. students in 2011, 2021, 2022.
SES Teaching Excellence award (2022).

Professional Societies

  • SIAM – Society for Industrial and Applied Mathematics Member

Selected Publications

Journal Article

  1. Dubovski, P. (2024). Constructing Solutions to Multi-Term Cauchy–Euler Equations with Arbitrary Fractional Derivatives. Mathematics (vol. 12). Switherland: MDPI.
    https://www.mdpi.com/2227-7390/12/13/1928.
  2. Dubovski, P. (2024). Existence and Independence for constant-coefficient fractional differential equations. Fractional Analysis project. Journal of Applied Analysis (1 ed., vol. 30, pp. 117 - 128). De Gruyter.
    https://www.degruyter.com/document/doi/10.1515/jaa-2023-0009/html?lang=en.
  3. Dubovski, P. B. (2023). Inverse Boundary Value Problem Solution for Deflected Beams Joined Together by Elastic Medium . Inverse Problems project. European Journal of Pure and Applied Mathematics (2 ed., vol. 16, pp. 1140–1153). international, european: European Journal of Pure and Applied Mathematics.
    https://doi.org/10.29020/nybg.ejpam.v16i2.4758.
  4. Boyadjiev, L.; Dubovski, P.; Slepoi, J. (2022). EXISTENCE FOR PARTIAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL CAUCHY ‑ EULER OPERATOR. Fractional Analysis project. Journal of Mathemtical Sciences. Springer.
  5. Dubovski, P. B.; Slepoi, J. (2022). Construction and analysis of series solutions for fractional quasi - Bessel equations. Analysis and Numerics for Fractional Differential Equations. Fractional Calculus and Applied Analysis (3 ed., vol. 25, pp. 1229-1249). Springer.
  6. Dubovski, P. B.; Slepoi, J. (2021). Dual Approach as Empirical Reliability for Fractional Differential Equations. Analysis and Numerics for Fractional Differential Equations. Journal of Physics: Conference Series (vol. 2099(2021) 012004).
  7. Dubovski, P. B.; Slepoi, J. (2021). ANALYSIS OF SOLUTIONS OF SOME MULTI-TERM FRACTIONAL BESSEL EQUATIONS. Analysis and Numerics for Fractional Differential Equations. Fractional Calculus and Applied Analysis (5 ed., vol. 24, pp. 1380 - 1408). de Gruyter.

Courses

Ma134 - Discrete Mathematics
Ma221 - Differential Equations
Ma115-126 - Calculus I,II,III
Ma232, 552 - Linear Algebra
Ma361 - Partial Differential Equations
Ma410 - Differential Geometry
Ma530 - Mathematics in Science and Engineering
Ma547-548 - Advanced Calculus
Ma650 - Intermediate Partial Differential Equations
Ma635-636 - Functional Analysis
Ma681-682 - Complex Variables
Ma711 - Inverse Problems