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C.I. Christov, T.T. Marinov, Marinova, R.S..
Identification of Solitary-Wave Solutions as an Inverse Problem:
Application to Shapes with Oscillatory Tails.
Mathematics and Computers in Simulation.
Submitted.
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C.I. Christov, Marinova, R.S., T.T. Marinov (2008)
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.
Accepted for publishing, August 2008. In Press.
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C.I. Christov, Marinova, R.S., and T.T. Marinov (2008)
Identifying the Stationary Viscous Flows Around a Circular
Cylinder at High Reynolds Numbers.
Springer Lecture Notes in Computer Science (LNCS), Springer Verlag, 165-173.
- Marinov, T.T., Christov, C.I., Marinova, R.S. (2007) Variational Imbedding for Coefficient
Identification in Elliptic Partial Differential Equation.
Int. Journal of Computational Science and Engineering 3(4), 277 - 286.
- Marinov, Marinova, R.S., T.T., Christov, C.I. (2006) Coefficient Identification in Elliptic Partial
Differential Equation. I. Lirkov, S. Margenov, J. Wasniewski, Eds.,
Lecture Notes in Computer Science (LNCS), Springer Verlag, 365-372.
- Marinov, T.T., Christov, C.I., Marinova, R.S. (2005) Novel Numerical Approach
to Solitary-Wave Solutions Identification of Boussinesq and Korteweg-de
Vries Equations. Int. Journal of Bifurcation and Chaos,
Vol. 15, No. 2, 557-565.
- Marinova, R. S., Ourdev, I., Stoilov, V., Les, B.,
Gu, J.H. ( 2003) Pedestrian Motion in Realistic Virtual Reality
Environments: Application to High-Rise Building Evacuation, Pedestrian
and Evacuation Dynamics, 283-293.
- Marinova, R. S., Christov, C. I., Marinov, T. T. (2003) A Fully Coupled Solver for
Incompressible Navier-Stokes Equations using Operator Splitting. International
Journal on Computational Fluid Dynamics, Volume 17, No 5, 371-385.
- Marinova, R. S., Takahashi, T., Aiso, H.,
Christov, C. I., and Marinov, T. T. (2003) Conservation
Properties of Vectorial Operator Splitting. Journal of
Computational and Applied Mathematics 152/1-2, 289-303.
- Axelsson, O. and Marinova, R.S., A Hybrid Method of Characteristics and
Central Difference Method for Convection-Diffusion Problems. Computational
& Applied Mathematics, Vol.21, N.3, 631-659.
- Marinova, R. S., Marinov, T. T, Sakai, K.,
Christov, C. I., Aiso, H., Takahashi, T. (2002)
Second Order Bicyclic
Splitting Difference Scheme for Multidimensional Advection-Diffusion
Problems. Computational Fluid Dynamics Journal, Vol. 11, No.2,
July 2002, 121-127.
- Marinov, T. T., Sakai K., Marinova, R. S. (2002)
Numerical scheme for Boundary-Layer Approximation of Two Opposite
Flows, Journal of SIT 11: 109-119.
- Jerome Breil, R. S. Marinova, Hideaki Aiso, and
Tadayasu Takahashi (2002) Fully Coupled Solver for Incompressible
Navier-Stokes Equations using a Domain Decomposition Method.
International Conference Parallel CFD 2002, JAERI-KRE, Kansai
Science City, JAPAN, May 20-22, 2002. Published in:
Parallel Computational Fluid Dynamics 2002, K. Matsuno, A. Ecer,
J. Periaux, N. Satofuka, (Eds) and P. Fox (Asst. Editor),
Elsevier Publishing Co. 2003.
- Marinova, R.S., Aiso, H., Takahashi, T. (2002)
Some Requirements Regarding Difference Schemes For Incompressible
Navier-Stokes Equations. In: Proceedings of International Minisymposium
on Mathematical Modelling And Scientific Computations,
Borovets, Bulgaria, April 3-6, 2002, 374-379.
- Christov, C.I. and Marinova, R.S., Implicit
Vectorial Operator Splitting for Incompressible Navier-Stokes Equations
in Primitive Variables. Journal of Comput. Technologies Vol 6,
No 4, 2001, 92-119.
- Marinov, T. T, Sakai, K., Marinova R.S. (2001) A
Numerical Scheme Based on Characteristic Line Method for Conservative
Advection-Equations. Computational Fluid Dynamics Journal, 10,
no.2, July 2001, 137-142.
- Marinova, R.S., Marinov, T. T, Sakai, K.,
Christov, C.I., (2001) A bicyclic splitting difference scheme for
unsteady advection-diffusion problem. Journal of SIT 10:
51-59.
- Marinov, T. T, Sakai, K., Marinova, R.S., (2001)
Mathematical Investigation on the Conservative CIP Scheme. Journal
of SIT 10: 43-49.
- Marinova, R.S., Takahashi, T., Aiso, H., (2001)
Vectorial Splitting Approach to Incompressible Navier-Stokes Equations.
Aerospace Numerical Simulation Symposium 2001,
National Aerospace Laboratory, Tokyo, Japan, June 20-22, 2001, Special
Publication of National Aerospace Laboratory SP-53, 2001, Tokyo,
(2001) 209-214.
- Marinova, R. S., Marinov, T., Sakai, K., and
Christov, C. (2000) A Splitting Scheme for Advection- Diffusion Problem
Based on Finite Variable Difference Method. 16th IMACS World
Congress, Lausanne, Switzerland, August 21-25, 2000. Published in:
16th IMACS World Congress 2000 Proceedings, edited by: Michel Deville
and Robert Owens, ISBN 3-9522075-1-9, paper 134-3.
- Marinova, R. S., Christov, C., and Marinov, T.
(2000) High-Reynolds Number Solutions of Incompressible Navier-Stokes
Equations using Vectorial Operator Splitting. 1st International
Conference on Computational Fluid Dynamics, Kyoto, Japan, July
10-14, 2000. Published in: Computational Fluid Dynamics 2000,
Nobuyuki Satofuka (Ed.) Springer: 247-252.
- Christov, C. I., Marinova, R. S., and Marinov, T.
T. (2000) Fully Implicit Implementation of Boundary Conditions in
Operator-Splitting Methods for Steady Incompressible Navier-Stokes
Equations. II Int. Workshop on Scientific Computing and Applications,
Kananaskis, Canada, May 28 - June 1, 2000. Published in: Advances
in Computation: Theory and Practice Vol. 7: Scientific
Computing and Applications, P. Minev, Y. Lin (Eds), Nova Sci.
Publishers, Inc. Huntington, New York: 27-36.
- Axelsson, O. and Marinova, R. S. (2000) A Combined
Finite Difference and Local Method of Characteristic Line Approximation
for Convection-Difusion Problems. Invited lecture in Workshop on the Numerical
and Computational Methods for Convection-Dominated and Singular
Perturbed Problems, Lozenetz, Bulgaria, August 27-31, 1998. In: 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: 7-21.
- Christov, C.I. and Marinova, R.S. (1998) Numerical
Solutions for Steady Flow past a Circular Cyliner via Method of
Variational Imbedding. Annuaire de l'Universit'e de Sofia "St. Kl.
Ohridski" 90: 177-189.
- Christov, C. I. and Marinova, R. S. (1998)
Implicit Scheme for Navier-Stokes Equations in Primitive Variables via
Vectorial Operator Splitting. First Workshop on Large-Scale
Scientific Computations of Engineering and Environmental Problems,
Varna, Bulgaria, June 1997. Published in: Notes on Numerical Fluid
Mechanics 62, edited by M. Griebel, O.P. Iliev, S.D. Margenov and
P.S. Vassilevski, Vieweg, Germany: 251-259.
- Marinova, R. S. (1996) Identification of the
Unstable Stationary Solutions of Navier–Stokes Equations at High
Reynolds Numbers. 8th International Symposium on Continuum Models
and Discrete Systems, June 1995. Published in: Continuum Models
and Discrete Systems, ed. K. Markov, @World Sci.: 452-460.
- Christov, C.I. and Marinova, R.S. (1994) Numerical
Investigation of High Re Stationary Viscous Flow around Circular
Cylinder as Inverse Problem. Bulgarian Journal of Meteorology and
Hydrology 5, No 3-4: 105-118.
- Marinova, R. S. and Christov, C. I. (1993)
Numerical Investigation of Stationary 2D flow past a cylinder via
Method of Variational Imbedding. Published in: Proceedings of XVIII
International Summer School on Applications of Mathematics in Technics,
Varna, August 1992: 162-165 (in Bulgarian).
- Marinova, R. S. and Marinov, T. T. (1991)
Smoothing of edges obtained by the intersection of two surfaces.
Published in: Proceedings of The National Conference on Contribution
of Young Scientists in Progress of Science and Technology, Varna,
October 1990: 47-50 (in Bulgarian).
Books
- Marinov, T.
T. and Marinova, R. S. (1996) Practicum in Numerical Methods
with illustrations in PASCAL. TU-Varna (textbook, in Bulgarian,140
pages).
- Marinova, R. S. (1999) Vectorial
Operator-Splitting Difference Schemes of Navier-Stokes Equations. Bulgarian
Academy of Sciences, Ph.D. thesis.
Non-refereed
Contributions
- Marinova,
R. S. (2001) Splitting Algorithm for Unsteady Incompressible
Navier-Stokes Equations in Primitive Variables. Proceedings of the
symposium of SIT, July 30-August 2, 2001, Saitama Institute of
Technology, Japan, 171-174.
- Marinov, T. T, Sakai, K., Marinova, R.S. (2001) A
Numerical Scheme Based on Characteristic Line Method for Conservative
Advection-Equations. Proceedings of the Symposium of SIT, July
30-August 2, 2001, Saitama Institute of Technology, Japan, 175-178.
- Marinova, R. S. (2000) Vectorial
Operator-Splitting Difference Schemes for Steady Incompressible
Navier-Stokes Equations in Primitive Variables. Annual meeting of
the Japan Society for Applied Mathematics, Seta, Japan, December
20-22, 2000, 253-258.
- Marinov T. T, Sakai K., and Marinova, R. S. (2000)
Mathematical Investigation on the Conservative CIP Scheme. Annual
meeting of the Japan Society for Industrial and Applied Mathematics,
Tokyo Institute of Technology, Tokyo, Japan, October 5-8, 2000, 26-27.
- Marinova, R. S., Marinov, T. T, Sakai, K., and
Christov, C. I. (2000) Bicyclic Scheme for Advection-Diffusion
Problems. Annual meeting of the Japan Society for Industrial and
Applied Mathematics, Tokyo Institute of Technology, Tokyo, Japan,
October 5-8, 2000, 324-325.
- Axelsson, O. and Marinova, R. S. (1999) On a
hybrid method of characteristics and central difference method for
convection-diffusion problems. Report No. 9941, Department of
Mathematics, University of Nijmegen, The Netherlands.
Oral
Presentation
Alberta Colleges Mathematics Conference. Calgary, Alberta, May 2-3, 2008.
American Mathematical Society Winter Meeting, San Diego, California, January 6-9, 2008.
Sixth Int. Conf. on Large-Scale Scientific Computations,
Sozopol, Bulgaria, June 5-9, 2007.
CAIMS*SCMAI 2007, Banff Centre, Alberta, May 20-24, 2007.
Int. Conf. on Hybrid Systems and Applications,
Univ. Of Louisiana at Lafayette, May 22-26, 2006.
Fifth Int. Conf. on Large-Scale Scientific Computations,
Sozopol, Bulgaria, June 6-10, 2005.
Canadian
Symposium on Fluid Dynamics, CMS 2004 Summer Meeting, Halifax,
Canada, June 13-15, 2004;
Second Int. Conference in Pedestrian and Evacuation Dynamics,
London, UK, August 20-22, 2003;
CMS 2003 Summer Meeting, Edmonton, Canada, June 14-16,
2003;
Workshop Connecting Women in Mathematics Across Canada,
Edmonton, Canada, June 12-13, 2003;
Int. Minisymposium on Math. Modelling & Scientific Computations,
Borovets, Bulgaria April 3-6, 2002;
Int. Conf. on Recent Advances in Comput. Mathematics,
Matsuyama, Japan, Oct. 10-13, 2001;
Aerospace Numerical Simulation Symposium 2001, NAL, Tokyo,
Japan, June 20-22, 2001;
Symposium of SIT, Saitama Institute of Technology, Japan,
July 30-August 2, 2001;
1st Int. Conf. Computational Fluid Dynamics, Kyoto,
Japan, July 10-14, 2000;
Annual meeting of Japan Society for Applied Mathematics, Seta,
Japan, Dec. 20-22, 2000;
Annual meeting of Japan Society for Ind. and Appl. Mathematics,
Tokyo, Japan, Oct. 6-8, 2000.
1st Int. Workshop on Large-Scale Scientific Comput. of
Engineering and Environmental Problems, Varna, Bulgaria, June 1997;
Int. Symp. on Continuum Models and Discrete Systems, Varna,
Bulgaria, June 1995, June 1995;
Int. Summer School on Applications of Mathematics in Technics,
Varna, Bulgaria, August 1992;
I also held seminars:
Applied Math Seminar, Univ. of Saskatchewan, Saskatoon, Saskatchewan, Feb. 22, 2007.
Computer Science Dept. Seminar, Univ. of Saskatchewan, Saskatoon, Saskatchewan, Jan. 13, 2006.
Math.& Stat. Dept., University of Guelph, Guelph, Ontario, Feb. 27, 2004.
Math.& Stat. Dept., Memorial Univ. of Newfoundland,
St. John's, Newfoundland, Oct. 10, 2003.
Math.& Stat. Dept., York University, Toronto, Ontario,
October 3, 2003.
Dept. of Mechanical Eng., Univ. of Electro-Communications,
Chofu, Tokyo, Japan, February 7, 2002;
CFD Tech. Center, NAL Japan, Nov. 20, 2001;
Dept. of Applied Physics and Math., Univ. of Tokushima
Japan, March 19, 2001;
Dept. of Computer Science, Univ. of Electro-Communications,
Chofu, Tokyo, Japan, Jan. 26, 2001;
Dept. of Elect. Eng., Saitama Inst. of Tech., Japan, Jan.
2000, Febr. 2000, July 2000, and April 2001;
Robust Num. Solution Methods for Convection-Diffusion &
Navier-Stokes Equations, CWI, Amsterdam, The Netherlands, Dec.
1998;
Dept. of Numerical Analysis, Institute of Mathematics,
University of Nijmegen, The Netherlands, Dec. 1997;
Computational Mathematics Division, Institute of Mathematics
& Informatics, BAS (Bulgarian Academy of Sciences), Sofia,
Sept. 1997, Sept. 1998;
Fluid Mechanics Division, Institute of Mechanics, BAS,
Sofia, Sept. 1997;
Marine Hydro-Physical Division, Institute of Oceanology, BAS,
Varna, Aug. 1997; etc.
Last Updated:
January 5, 2009
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