A.I. Sherbaf Picture IORDANKA N. PANAYOTOVA
Visiting Professor
Christopher Newport University  


Education:M.Sc. in Mathematics, Department of Mathematics, Sofia University “Saint Kliment Ohridski”, Sofia, Bulgaria, Major: Mathematics; Minor: Mathematics Education; June 1992
Thesis:"Coefficient stability of difference schemes", 2000

Research interests

1. Applied math in biology

2. Dynamic meteorology, Turbulence

3. Hydro-dynamic stability and fluid dynamics

4. Finite-difference methods and applications

Publications

1. Zhao, L., I.N. Panayotova, L., A. Chuang, K. Sheldon, L. Bourouiba, L. Miller, Flying Spiders: Simulating and Modeling the Dynamics of Ballooning, 2016, to appear in Springer's Journal of the American Women in Mathematics.

2. Sheldon K., L. Bourouiba, A. Chuang, I.N. Panayotova, L. Miller, L Zhao, Revisiting the Physics of Spider Ballooning, 2016, to appear in the Proceedings of the Journal of the American Mathematical Society.

3. Panayotova, I.N. and L. Horth, Climate change and temperature sensitive genotypes: Modeling the impact of climate change on the rare black-spotted mosquitofish, 2016, submitted, Computers and Mathematics with Applications.

4. Panayotova, I.N., P. Song+, and J.P. McHugh, Spatial Stability of Horizontally Sheared Flow, Discrete and Continuous Dynamical Systems-A, Special Issue 2013, pp 611-618.

5. Horth L. and I.N. Panayotova, Simulating the maintenance of a rare fish morph experiencing negative frequency dependent selection, BioSystems, Vol. 110 (2012), pp149-155.

6. Matus, P.P., I.N. Panayotova, D.B. Polyakov, Stability and monotonicity of a conservative difference scheme for a multidimensional nonlinear scalar conservation law, Differential Equations, Vol. 48, No.7, 997-1004, 2012.

7. Panayotova, I.N., Meridional asymmetries in forced beta-plane turbulence, International Journal of Geosciences, Vol. 2, No 3, 286—292, 2011.

8. Panayotova, I.N. and J. McHugh, On the stability of three-dimensional disturbances in stratified flow with lateral and vertical shear, Open Atmospheric Science Journal, Vol. 5, 23-26, 2011.

9. Panayotova, I.N., Nonlinear effects in the extended Eady model: nonzero beta but zero mean potential vorticity gradient, Dynamics of Atmospheres and Oceans, Vol. 50, 93-111, 2010.

10. Panayotova, I.N., A new surface model for β-plane turbulence, Journal of the Atmospheric Sciences, Vol. 64, 2717-2725, 2007.

11. Panayotova, I.N. and K. Swanson, Edge wave asymmetries, Journal of the Atmospheric Sciences, Vol. 63, No.4, 1357-1364, 2006.

12. Matus P.P. and I.N. Panayotova, Coefficient Stability of Three-Level Operator-Difference Schemes, Computational Mathematics and Mathematical Physics, Vol. 41, No. 5, 678-687, 2001.

13. Matus P.P. and I.N. Panayotova, Strong Stability of Operator-Differential Equations and Operator-Difference Schemes, Differential Equations, Vol. 35, No. 2, 257-267, 1999.

14. Matus P.P. and I.N. Panayotova, Strong Stability of Three-Level Operator-Difference Schemes, Reports of the National Academy of Sciences of Belarus, Vol. 43, No. 6, 34-38, 1999 (in Russian).

15. Matus P.P. and I.N. Panayotova, Strong Stability of Two-Level Operator-Difference Schemes, Reports of the National Academy of Sciences of Belarus, Vol.43, No. 1, 39-43, 1999 (in Russian).

16. Panayotova, I.N., Coefficient Stability of Operator-Difference Schemes with Time-Variable Operators, Mathematical Modeling and Analysis, Vol. 3, pp. 152-159, 1998.