Roman Kvasov, PhD

Associate Professor



Office B-212B

(787) 890-2681 x2236


math.uprag.edu/roman



Education

Ph.D. Scientific Computing, 2013
University of Puerto Rico at Mayaguez

M.S. Applied Mathematics, 2008
University of Puerto Rico at Mayaguez

M.S. Computer Science, 2006
National Technical University of Ukraine

B.S. Mathematics, 2004
National Technical University of Ukraine



Areas of Interest

Computational Mechanics, Scientific Computing, Mathematics Education, Math Olympiads



Publications

Steinberg L., Kvasov R., Distinctive Characteristics of Cosserat Plate Free Vibrations, Dynamical Systems Theory, DOI: 10.5772/intechopen.87044 (2019)
In this book chapter we present the research of the plate free vibrations based on the extended version of the dynamic plate theory published earlier (Steinberg, Kvasov, 2015).

Steinberg L., Kvasov R., Simulation of Dislocation in Cosserat Elastic Plates, preprint on Repository for Scholarly Material arXiv.org, Cornell University arXiv:1805.01535 (2018).
In this prerint paper we researched the possibility of an accurate simulation of the Dislocation in Cosserat Elastic Plates based on the Enhanced Cosserat Plate Theory (Steinberg, Kvasov, 2013).

Kvasov R., Steinberg L., Modeling of Size Effects in Bending of Perforated Cosserat Plates, Modelling and Simulation in Engineering, Volume 2017, Hindawi (2017).
This journal paper presents the Finite Element method for the modeling of the size effect in Cosserat Plates with holes based on the Enhanced Cosserat Plate Theory (Steinberg, Kvasov, 2013).

Steinberg L., Kvasov R., Analytical Modeling of Vibration of Micropolar Plates, Applied Mathematics (6): 817-836 (2015).
In this journal paper we present the dynamics extension of the static Enhanced Cosserat Plate Model (
Steinberg, Kvasov, 2013).

Kvasov R., Steinberg L., Numerical Modeling of Micropolar Elastic Plates, Thin-Walled Structures (69): 67-78 (2013).
This journal paper presents the complete numerical modeling of Cosserat plates based on the recently published Enhanced Cosserat Plate Theory (
Steinberg, Kvasov, 2013)

Kvasov R., Cruz-Pol S., Colom-Ustariz J., Rees P., Weather Radar Data Visualization Using First-Order Interpolation, Proceedings of the IEEE International Geoscience and Remote Sensing Symposium (IGARSS) (2013).

Steinberg L., Kvasov R., Enhanced Mathematical Model for Cosserat Plate Bending, Thin-Walled Structures (63): 51-62 (2013).
This fundamental work presents the enhanced Cosserat plate theory and the comparison with the three-dimensional exact Cosserat elasticity.

Kvasov R., Mathematical Modeling and Finite Element Computation of Cosserat Elastic Plates, Doctoral Dissertation, University of Puerto Rico (2013).
The doctoral dissertation where the complete Enhanced Cosserat Plate Theory was developed. This research also includes the validation and numerical modeling for the plate theory and later resulted in several publications (Steinberg, Kvasov, 2013 and Kvasov, Steinberg, 2013).

Kvasov R., Steinberg L., Numerical Modeling of Bending of Cosserat Elastic Plates, Proceedings of the 5th Computing Alliance of Hispanic-Serving Institutions: 67-70 (2011).
This conference paper presents the first numerical results of the modeling of Cosset plates based on the Steinberg model published in 2010.



Presentations

Kvasov R., Numerical Simulation of Dislocation in Cosserat Elastic Plates, XXXIII Seminario Interuniversitario de Investigación en Ciencias Matemáticas, University of Puerto Rico at Rio Piedras, (2018).

Kvasov R., Mathematical Model and Analysis of Micro Vibration of Cosserat Plates, XXXII Seminario Interuniversitario de Investigación en Ciencias Matemáticas, University of Puerto Rico at Ponce, (2017).

Kvasov R., Educational System of Ukraine, Educación comparada: Enfocada en las Experiencias Educativas Internacionales, Inter American University of Puerto Rico at San German (2016).

Kvasov R., Efficient Finite Element Method for Micropolar Plates, Department of Mathematics, University of Puerto Rico at Aguadilla (2015).

Kvasov R., Analytical Modeling of Vibration of Micropolar Plates, XXIX Mathematical Sciences Research Seminar (SIDIM), Mayaguez, Puerto Rico (2015).

Kvasov R., Dynamics Model of Vibration of Micropolar Plates, Department of Mathematics, University of Puerto Rico at Aguadilla (2014).

Kvasov R., Bending of Micropolar Plates, Department of Mathematics, University of Puerto Rico at Aguadilla (2013).

Kvasov R., Weather Radar Data Visualization Using First-Order Interpolation, IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Melbourne, Australia (2013).

Kvasov R., Finite Element Modeling of Micropolar Elastic Plates, XXVIII Mathematical Sciences Research Seminar (SIDIM), Cupey, Puerto Rico (2013).

Kvasov R., Finite Element Modeling of Bending of Micropolar Plates, XXVII Mathematical Sciences Research Seminar (SIDIM), Mayaguez, Puerto Rico (2012).

Kvasov R., Finite Element Modeling of Plates, Sigma Xi XVI Poster Day, Mayaguez, Puerto Rico (2011).

Kvasov R., Numerical Modeling of Bending of Cosserat Elastic Plates, 5th Computing Alliance of Hispanic-Serving Institutions, San Juan, Puerto Rico (2011).

Kvasov R., Micropolar Elastic Plates and their Numerical Modeling, XXVI Mathematical Sciences Research Seminar (SIDIM), Humacao, Puerto Rico (2011).

Kvasov R., Boundary Approximation in the Finite Element Modeling of Micropolar Plates, CISE Lecture, Mayaguez, Puerto Rico (2010)



Essays

Kvasov R., Teaching Differentiation: A Rare Case for the Problem of the Slope of the Tangent Line, Repository for Scholarly Material arXiv: 1805.00343 (2018).

Kvasov R., On Real People and Imaginary Numbers, Revista ICONO de Universidad de Puerto Rico en Aguadilla, Volume 21: 48-50, Aguadilla (2015).



Math Olympiad Seminars

Kvasov R., Problems from Chinese Mathematical Olympiads (OMPR, 2014).

Kvasov R., How to Solve IMO-level Problems (OMPR, 2014).

Kvasov R., Invariants (OMPR, 2014).

Kvasov R., Processes and Operations in Olympiad Problems (OMPR, 2014).

Kvasov R., Challenging IMO Geometry Problems (OMPR, 2013).

Kvasov R., Similar Triangles (OMPR, 2013).

Kvasov R., Just Add the Numbers (OMPR, 2012).

Kvasov R., Locus (OMPR, 2012).

Kvasov R., Angles and Parallel Lines (OMPR, 2012).

Kvasov R., About the Midpoints of the Sides of a Quadrilateral (OMPR, 2011).

Kvasov R., Introduction to Functional Equations (OMPR, 2011).

Kvasov R., Ceva's Theorem (OMPR, 2011).

Kvasov R., Unexpected Solutions (OMPR, 2011).

Kvasov R., When Area Helps (OMPR, 2010).

Kvasov R., Method of Coloring (OMPR, 2010).

Kvasov R., Inscribed Angles (OMPR, 2010).

Kvasov R., 10 Ideas for Olympiad Geometry (OMPR, 2009).

Kvasov R., Introduction to Inequalities (OMPR, 2009).

Kvasov R., Rotation (OMPR, 2008).

Kvasov R., Homothetic Transformation (OMPR, 2007).