Publications
Books
T.T. Marinov, R.S. Marinova: Numerical Methods Basics With Programming Examples, Linus Learning, 2021, see excerpt
G. Momcheva, T. Glushkova, R.S. Marinova: Informatics for Grade 8, Anubis/Bulvest, 2017
G. Momcheva, T. Glushkova, R.S. Marinova: Informatics for Grade 8 Teachers Manual, Anubis/Bulvest, 2017
R.S. Marinova: Vectorial Operator-Splitting Difference Schemes for Navier-Stokes Equations. Ph.D. thesis. Bulgarian Academy of Sciences, 1999
T.T. Marinov, R.S. Marinova: Practicum in Numerical Methods with Illustrations in PASCAL. Technical University - Varna, 1996
Articles (selected)
T.T. Marinov, R.S. Marinova, R.M. Marinov, N. Sheby: Novel Approach for Identification of Basic and Effective Reproduction Numbers Illustrated with COVID-19. Viruses 2023, 15(6), 1352. https://doi.org/10.3390/v15061352
T.T. Marinov, R.S. Marinova: Adaptive SIR model with vaccination: simultaneous identification of rates and functions illustrated with COVID-19. Sci Rep 12, 15688 (2022). https://doi.org/10.1038/s41598-022-20276-7
T.T. Marinov, R.S. Marinova: Inverse problem for adaptive SIR model: Application to COVID-19 in Latin America, Infectious Disease Modelling, Volume 7, Issue 1, March 2022, Pages 134-148, DOI: https://doi.org/10.1016/j.idm.2021.12.001, available online December 2021
T.T. Marinov, R.S. Marinova: An Inverse Problem Solution for Thermal Conductivity Reconstruction, WSEAS Transactions on Systems, WSEAS, 20, Pages 187-195, DOI: 10.37394/23202.2021.20.21, July 2021
T.T. Marinov, R.S. Marinova: Dynamics of COVID-19 Using Inverse Problem for Coefficient Identification in SIR Epidemic Models, Chaos, Solitons & Fractals: X, Volume 5, March 2020, 100041, https://doi.org/10.1016/j.csfx.2020.100041, Available online 15 July 2020
T.T. Marinov, R.S. Marinova: Identification of Heat Conductivity in (2+1)D Equation as a Function of Time, Large Scale Scientific Computing, Lecture Notes in Computer Science, Springer, Pages 356-364, 2020
R.S. Marinova, G. Momcheva: Survey of Information Technology Undergraduate Degree Programs in Canada, IEEE Canadian Conference on Electrical & Computer Engineering (CCECE), IEEE, 2019
T.T. Marinov, R.S. Marinova: Solitary Wave Solutions with Non-Monotone Shapes for the Modified Kawahara Equation, Journal of Computational and Applied Mathematics, Elsevier, 340, Pages 561-570, 2018
T.T. Marinov, R.S. Marinova: New Approach to Identifying Solitary Wave Solutions of Modified Kawahara Equation, Lecture Notes in Computer Science, Vol 10665, Springer, Large-Scale Scientific Computing, Pages 527-535, 2017
T.T. Marinov, R.S. Marinova, Aghalaya Vatsala: Coefficient Identification in Euler-Bernoulli Equation, Journal of Neural, Parallel, and Scientific Computations, 23, Pages 193-218, 2015
T.T. Marinov, R.S. Marinova: Inverse problem for coefficient identification in SIR epidemic models, Computers & Mathematics with Applications, Elsevier, 67(12), Pages 2218-2227, 2014
T.T. Marinov, R.S. Marinova: An inverse problem for estimation of bending stiffness in Kirchhoff-Love plates, Computers & Mathematics with Applications, Elsevier, 65(3), Pages 512-519, 2013
R.S. Marinova, R. Spriteri, E. Essien: Time Stepping for Vectorial Operator Splitting, Journal of Computational and Applied Mathematics, 235(2), Pages 460-469, 2010
T.T. Marinov, R.S. Marinova: Coefficient Identification in Euler-Bernoulli Equation from over-posed data, Journal of Computational and Applied Mathematics, 235(2), Pages 450-459, 2010
C.I. Christov, T.T. Marinov, R.S. Marinova: Identification of Solitary-Wave Solutions as an Inverse Problem: Application to Shapes with Oscillatory Tails, Mathematics and Computers in Simulation: Special issue on 'Nonlinear Waves: Computation and Theory,' Volume 80, Issue 1, Pages 56-65, 2009
C.I. Christov, R.S. Marinova, T.T. Marinov: Does the Stationary Viscous Flow Around a Circular Cylinder Exist for Large Reynolds Numbers? A Numerical Solution via Variational Imbedding, Journal of Computational and Applied Mathematics, (226)2, Pages 205-217, 2009
C.I. Christov, R.S. Marinova, T.T. Marinov: Variational Imbedding Approach to Coefficient Identification in Elliptic Partial Differential Equation. Int. J. of Computational Science and Engineering, 3(4), Pages 277-286, 2007
T.T. Marinov, R.S. Marinova, and C.I. Christov: Novel Numerical Approach to Solitary-Wave Solutions Identification of Boussinesq and Korteweg-de Vries Equations, Int. J. of Bifurcation and Chaos, 15(2), Pages 557-565, 2005
R.S. Marinova, I. Ourdev, V. Stoilov, L. Brinkworth, and J.H. Gu: Pedestrian Motion in Realistic Virtual Reality Environments: Application to High-Rise Building Evacuation, Pedestrian and Evacuation Dynamics, Aug 20-22, 2003, London, United Kingdom, Pages 283-293, 2003
R.S. Marinova, C.I. Christov, T.T. Marinov: A Fully Coupled Solver for Incompressible Navier-Stokes Equations using Coordinate Operator Splitting, Int. J. Comput. Fluid Dynamics, 17(5), Pages 371-385, 2003
R.S. Marinova, T. Takahashi, H. Aiso, C.I. Christov, T.T. Marinov: Conservation Properties of Vectorial Operator Splitting, Journal of Computational & Applied Mathematics, 152(1-2), Pages 289-303, 2003
R.S. Marinova, T.T. Marinov, K. Sakai, C.I. Christov, H. Aiso, T. Takahashi: Second Order Bicyclic Splitting Difference Scheme for Multidimensional Advection-Diffusion Problems. Computational Fluid Dynamics Journal, 11(2), Pages 121-127, 2002
C.I. Christov, R.S. Marinova, T.T. Marinov: Fully Implicit Implementation Of Boundary Conditions In Operator-Splitting Methods For Steady Incompressible Navier-Stokes Equations, Advances in Computation: Theory and Practice Vol. 7: Scientic Computing and Applications, P. Minev, Y. Lin (Eds), Nova Sci. Publishers, Inc. Huntington, New York, Pages 27-36, 2002
O. Axelsson, R.S. Marinova: A Hybrid Method of Characteristics and Central Difference Method for Convection-Diffusion Problems, Computational & Applied Mathematics, 21(3), Pages 631-659, 2002
C.I. Christov, R.S. Marinova: Implicit Vectorial Operator Splitting for Incompressible Navier-Stokes Equations in Primitive Variables, Journal of Computational Technologies, 6(4), Pages 92-119, 2001
R.S. Marinova, C.I. Christov, T.T. Marinov: High-Reynolds Number Solutions of Incompressible Navier-Stokes Equations using Vectorial Operator Splitting, Computational Fluid Dynamics 2000, Nobuyuki Satofuka (Ed.) Springer, Pages 247-252, 2001
O. Axelsson, R.S. Marinova: A Combined Finite Difference and Local Method of Characteristic Line Approximation for Convection-Diffusion Problems, Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, J.J. Miller, G.I. Shishkin, L.G.Vulkov (Eds) 2000, Nova Sci. Publishers, Pages 7-21, 2000
Outreach (selected)
R.S. Marinova: Math Kangaroo puts the "M" in Canada's STEM: Mathematics Outreach for Motivating Students to Prepare for STEM Carrier, IEEE Canadian Review, Pages 16-18, 2017
R.S. Marinova: Math Kangaroo Contest-Game in Canada, IEEE TISP Canada Courier 2, 10-11, 2012
R.S. Marinova, V. Pandelieva: Popularizing Mathematics in Canada through Math Kangaroo Competition, CMS (Canadian Mathematical Society) Notes, Vol. 44 No. 3, June 2012, Pages 8-9, 11, 2012
R.S. Marinova et al.: Canadian Math Kangaroo Contest: Questions and Solutions 2008-2021
Conference and workshop presentations (selected)
ILN Event Demonstration by Region 7 (Canada) Response to COVID-19 challenges, IEEE, Nov 2020
Lessons Learned from the Online Offering of Math Kangaroo in 2020, KSF Annual Meeting, Oct 2020
What have we learned from 2020 Math Kangaroo Contest offered online due to the pandemic?, CMS COVID-19 Research and Education Meeting (CCREM), Canada, July 13-16, 2020
COVID-19 Using Inverse Problem for Coefficient Identification in SIR Epidemic Model, CMS COVID-19 Research and Education Meeting (CCREM), Canada, July 13-16, 2020
Int. Conf. on Large-Scale Scientific Computations, Sozopol, Bulgaria, 2019, 2017, 2013, 2011, 2009, 2007, 2005
IEEE Canadian Conference on Electrical & Computer Engineering (CCECE), May 6, 2019, Edmonton 2019
Keynote Speaker: Educational Activities Outreach with IEEE. IEEE Canada Student Congress, May 5, 2019, Edmonton
Keynote speaker: STEM Jobs: The Jobs of the Future, UA-WiSE/WiSER/IEEE NCS WIE Industry Mixer for career and networking opportunities, University of Alberta, October 13, 2016
Int. Conference on Dynamic Systems and Applications, Atlanta, Georgia, May 27-30, 2015
CMS 2014 Summer Meeting, Winnipeg, Canada, June 6-7, 2014
Math Kangaroo Workshop, BIRS, Banff, Alberta, August 3-5, 2012
Nonlocal Continuum Models for Diffusion, Mechanics, and Other Applications Summer Program, Statistical and Applied Mathematical Sciences Institute (SAMSI), NC, USA, June 25-29, 2012
Alberta Colleges Mathematics Conference. Calgary, Alberta, May 5-6, 2011
Canadian Symposium on Fluid Dynamics, CAIMS*SCMAI, St. John's NL, July 16-20, 2010
MITACS Annual Conference, Shaw Conference Centre, Edmonton AB, May 25-28, 2010
1st Conf. AMiTaNS, Sozopol, Bulgaria, June 22-27, 2009