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Conference
Presentations:
N.T.Kolkovska,
Finite
Difference Schemes for Multidimensional Boussinesq Equation.
Second Conference
of the Euro-American Consortium for Promoting the Application of Mathematics
in Technical and Natural Sciences, June 21-26, 2010, Sozopol, Bulgaria.
N.T.Kolkovska,
Convergence
of Finite Difference Schemes for a Multidimensional Boussinesq Equation.
7th
International Conference on Numerical Methods and Applications,
August 20 - 24, 2010, Borovets, Bulgaria.
C.I.
Christov, N.T.Kolkovska, D.P.Vasileva,
On the Numerical Simulation of Unsteady
Solutions for the 2D Boussinesq Paradigm Equation.
7th
International Conference on Numerical Methods and Applications,
August 20 - 24, 2010, Borovets, Bulgaria.
C.I.
Christov, N.T.Kolkovska, D.P.Vasileva,
Numerical Realization of Unsteady
Solutions for the 2D Boussinesq Paradigm Equation.
Fifth
Annual Meeting of the Bulgarian Section of SIAM, December 20 - 21,
2010, Sofia, Bulgaria.
C.I.
Christov,
Geometrically Nonlinear First-Order Theory
of Ultra Thin Shells: Momentum Supporting Membranes.
The
Seventh IMACS International Conference on Nonlinear Evolution Equations
And Wave Phenomena: Computation And Theory, April 04-07, 2011, Athens, Georgia,
USA.
Marios Christou,
An overview of the
Christov spectral method for solving soliton problems.
The
Seventh IMACS International Conference on Nonlinear Evolution Equations
And Wave Phenomena: Computation And Theory, April 04-07, 2011, Athens, Georgia, USA.
M.D.Todorov,
The Effect of the Elliptic
Polarization on the Quasi-Particle Dynamics of Linearly Coupled Systems
of NSE.
The
Seventh IMACS International Conference on Nonlinear Evolution Equations
And Wave Phenomena: Computation And Theory, April 04-07, 2011, Athens, Georgia,
USA.
M.D.Todorov,
Vector Schroedinger Equation: Coupling,
Polarization, Phase Difference, Quasi-Particle Dynamics.
Colloquium
of Department of Mathematics, University of Louisiana at Lafayette, USA,
April 14, 2011.
M.D.Todorov,
The Effect of the Initial
Polarization on the Quasi-Particle Dynamics of Linearly and Nonlinearly
Coupled Systems of NSE.
Texas
A&M-Commerce Computational Science Colloquium, Texas, April
20, 2011.
C.I.
Christov, D.P. Vasileva,
Numerical
Realization of Unsteady Solutions for the 2D Boussinesq Paradigm Equation
in a moving frame coordinate system.
Third Conference
of the Euro-American Consortium for
Promoting the Application of Mathematics in Technical and Natural Sciences,
Albena, Bulgaria,
June 20-25, 2011
M.D.Todorov,
Perturbation Solution for the
2D- Shallow-Water Waves.
Third Conference
of the Euro-American Consortium for
Promoting the Application of Mathematics in Technical and Natural Sciences,
Albena, Bulgaria,
June 20-25, 2011
N.T.Kolkovska,
M.G.Dimova,
A New Conservative Finite Difference Scheme for Boussinesq Paradigm
Equation.
Third Conference
of the Euro-American Consortium for
Promoting the Application of Mathematics in Technical and Natural Sciences,
Albena, Bulgaria,
June 20-25, 2011
C.I.
Christov, N.D.Kutev, N.T.Kolkovska, M.G.Dimova,
On the use of numerical data for the evaluating the parameters of the
a-priori estimates for the oneset of blow up in Boussinesq Paradigm
Equation.
Third
Conference of the Euro-American Consortium for
Promoting the Application of Mathematics in Technical and Natural Sciences,
Albena, Bulgaria,
June 20-25, 2011
C.I.
Christov,
On the pseudolocalized solutions in multi-dimension
as candidates for quasi-particles.
Third
Conference of the Euro-American Consortium for
Promoting the Application of Mathematics in Technical and Natural Sciences, 20-25 June 2011, Albena, Bulgaria.
M.G.Dimova, N.T.Kolkovska,
Comparison
of Some Finite Difference Scheme for Boussinesq Paradigm Equation.
Mathematicsl Modeling
and Computational Physics, July 4-8, 2011, Stara Lesna, High Tatra Mountains, Slovakia.
N. Kolkovska,
M. Dimova, D. Vasileva,
Difference schemes for Boussinesq Equation.
Seminar LIT, JINR, Dubna, Russia, September 2011.
C.I.
Christov, D. Vasileva,
On the Numerical Investigation
of Unsteady Solutions for the 2D Boussinesq Equation.
Sixth
Annual Meeting of the Bulgarian Section of SIAM, December 21 - 22,
2011, Sofia, Bulgaria. M. Todorov,
Numerical Implementation
of Fourier Integral-Transform Method for the Wave Equations.
Sixth
Annual Meeting of the Bulgarian Section of SIAM, December 21
- 22, 2011, Sofia, Bulgaria.
N.Papanicolaou, M. Christou, A. Polucarpou,
Numerical Modeling of Wave Propagation in Liquid Crystals using a Mode-matching
Approach.
4th International Conference Application
of Mathematics in Technical and Natural Sciences, 11–16 June
2012, Varna, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Global existence of the
solutions to Boussinesq paradigm equation with supercritical initial
energy.
4th International Conference Application
of Mathematics in Technical and Natural Sciences, 11–16 June
2012, Varna, Bulgaria.
D.Georgieva,
L.Kovachev,
A
Class of Localized Solutions of the Linear and Nonlinear Wave Equations.
4th International
Conference Application of Mathematics in Technical and Natural Sciences,
11–16 June 2012, Varna, Bulgaria.
N. Kolkovska, K. Angelow,
A Multicomponent Alternating Direction
Method for Numerical Solving of Boussinesq Paradigm Equation.
5th International Conference
on Numerical Analysis and Applications, 15-20 June 2012, Lozenetz,
Bulgaria.
M. Dimova, D. Vasileva,
Comparison
of two numerical approaches to Boussinesq paradigm equation.
5th International Conference on Numerical Methods and Applications,
15-20 June 2012, Lozenetz, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Global
Existence and Asymptotic Behaviour of the Solutions to Boussinesq Paradigm
Equation.
BIOMATH’12,
17-22 June 2012, Sofia, Bulgaria.
M.D. Todorov,
C.I. Christov,
Investigation
of the long-time evolution of localized solutions of a dispersive wave
system.
9th
AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Orlando, FL, July 1-5 2012, USA.
M.D. Todorov,
Vector Schroedinger Equation: Quasi-Particle
Concept of Evolution and Interaction of Solitary
Waves.
International Conference “Integrability, Recursion
Operators&Soliton Interactions” in occasion of
Vladimir Gerdjikov 65th birthday, August 29-31, 2012,
Sofia, Bulgaria.
M.D. Todorov,
Paradigm and Long-Time Evolution of Localized
Solutions of Wave Systems: Consistency versus
Integrability.
Texas A&M University – Commerce Computational
Science Colloquium, November 6, 2012, USA.
M.D. Todorov,
Polarized Soliton Solutions of Vector Schroedinger
Equation as Propagating and Interacting
Quasi-Particles.
Lloyd Roeling UL Lafayette Conference,
November 2-4, 2012, USA.
M.D. Todorov,
Investigation of the Long-Time Evolution of Localized
Solutions of a Dispersive Wave System.
International Scientific Conference on Mechanics (MECH2012), November 19-22, 2012,
Institute of Mechanics - BAS, Sofia, Bulgaria.
M.D. Todorov,
Dispersive Wave System:
Nonintegrability and Invariance.
Institute of Mathematics and Natural
Sciences, Tallinn University, Estonia, December 5, 2012.
M.D. Todorov,
Multisoliton Interaction of Perturbed Manakov
System.
9th IMACS Conference on Nonlinear Waves:
Computation and Theory,
March 25-28, 2013, Athens, GA, USA.
M.D. Todorov,
Multisoliton Interaction of Perturbed Manakov
System: Effects of External Potentials.
Seminar in Department of Physics, University of New Orleans,
April 5th, 2013, LA, USA.
M.D. Todorov,
Vector Schroedinger Equation: Coupling,
Polarization, Phase Difference, Quasi-Particle
Dynamics.
Seminar in the Department of Physics & Chemistry,
Dept of Chemistry &
Physics, Southeastern Louisiana University at Hammond,
April
8, 2013, USA.
M.D. Todorov,
Perturbation Approach and Solution for the 2D
Shallow-Water Waves.
PDE Special Research Seminar, Department of
Mathematics, Tulane University,
April 9th, 2013, New Orleans, LA, USA.
M.D. Todorov,
Wave Equations and Quasi-Particle Concept of Dynamics of Solitary Waves: Integrability vs.
Consistency, Nonlinearity vs. Dispersion, Adiabatic Approximation.
Mathematics Seminar,
Dept. of Mathematics,
Southeastern Louisiana University at Hammond,
April
12, 2013, USA.
M.D. Todorov,
Boussinesq Paradigm and Long-Time Evolution and
Interaction of Localized Solutions of Nonlinear
Wave Systems. Consistency versus Integrability.
Chemistry& Physics Seminar,
Dept of Chemistry &
Physics, Southeastern Louisiana University at Hammond,
April
12, 2013, USA.
S. Dimova, M. Dimova, D. Vasileva,
Structures and Waves in a Nonlinear Heat-Conducting Medium.
Symposium in honor of Raytcho Lazarov’s 40 years research in
Computational Methods and Applied Mathematics,
Sozopol, Bulgaria, June 7-8, 2013.
V. S. Gerdjikov, A. Kyuldjiev, M. D. Todorov,
N-soliton Interaction of Perturbed Manakov
System.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
D.A. Georgieva, L.M. Kovachev ,
Parametric solitons in isotropic media.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
N. C. Papanicolaou, M. A. Christou, A. C. Polycarpou,
Numerical characterization of nematic liquid crystal microstructures under applied electric fields.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Global existence to generalized Boussinesq
equation with combined power-type
nonlinearities.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
N. Kolkovska,
A Four-Level Conservative Finite Difference
Scheme for Boussinesq Paradigm Equation.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
S. Dimova, M. Dimova, D. Vasileva,
New Class of Metastable Blow-Up Solutions of the
Mathematical Model of Heat Structures.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
I. Bazhlekov, D. Vasileva,
Numerical simulation of drop coalescence in
the presence of drop soluble surfactant.
5th International Conference Application
of Mathematics in Technical and Natural Sciences, June 24-29,
2013, Albena, Bulgaria.
N. Kolkovska,
Finite Difference Schemes for Generalized
Boussinesq Equation.
International Conference on Mathematical Modeling and Computational Physics,
, July 8-12,
2013, Dubna, Russia.
D. Vasileva, N. Kolkovska,
Investigation of Two Numerical Schemes for the 2D Boussinesq Paradigm Equation in a Moving Frame Coordinate System.
Eighth
Annual Meeting of the Bulgarian Section of SIAM, December 18-19,
2013, Sofia, Bulgaria.
T.P. Todorov, M.E.Todorova, M.D.Todorov, I.G. Koprinkov,
Spatiotemporal Stabilization of Ultrashort Light Pulses Propagating in
Nonlinear Ionized Medium.
Eighth
Annual Meeting of the Bulgarian Section of SIAM, December 18-19,
2013, Sofia, Bulgaria.
A. Kyuldjiev, V.Gerdjikov, M.Todorov,
Three-soliton Interactions for
the Manakov System under Composite External Potentials.
Eighth
Annual Meeting of the Bulgarian Section of SIAM, December 18-19,
2013, Sofia, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Theoretical and numerical aspects to
the generalized sixth order Boussinesq equation.
Eighth
Annual Meeting of the Bulgarian Section of SIAM, December 18-19,
2013, Sofia, Bulgaria.
S. Dimova, M. Dimova, D. Vasileva,
Numerical investigation of a new class of waves in a nonlinear heat-transfer medium (in Russian).
International Scientific Conference Modern Problems of Computational Mathematics
and Mathematical Physics, dedicated to the memory of Acad. A.A.Samarskii, June 16-17, 2014, Moscow, Russia.
N. Kolkovska,
Error Estimates of Four Level Conservative Finite
Difference Schemes for Multidimensional
Boussinesq Equations.
Sixth Conference on Finite Difference Methods: Theory and
Applications, June 18-23 2014, Lozenetz, Bulgaria.
K. Angelow, N. Kolkovska,
Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation.
International Conference on Mathematical Methods and Models in Biosciences and Young Scientist School (BIOMATH 2014), June 22-27 2014, Sofia, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Global behaviour of the solutions to
Boussinesq type equation with linear restoring
force.
6th International Conference Application
of Mathematics in Technical and Natural Sciences, June 26-July 1,
2014, Albena, Bulgaria.
D. Vasileva,
A numerical investigation of stability of 1D soliton
solutions of Boussinesq paradigm equation
in the 2D case.
6th International Conference Application
of Mathematics in Technical and Natural Sciences, June 26-July 1,
2014, Albena, Bulgaria.
M. Todorov, V. Gerdjikov, A. Kyuldjiev,
Modeling Interactions of Soliton Trains. Effects of
External Potentials. Part II.
6th International Conference Application
of Mathematics in Technical and Natural Sciences, June 26-July 1,
2014, Albena, Bulgaria.
N.C. Papanicolaou, M.A. Christou, A.C. Polycarpou,
Numerical Analysis of Nematic Liquid Crystals
as Applied to Tunable Antennas.
6th International Conference Application
of Mathematics in Technical and Natural Sciences, June 26-July 1,
2014, Albena, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Finite time blow up of the solutions to
Klein–Gordon and Boussinesq type equations
with arbitrary positive initial energy.
International Conference New Trends in the Applications of Differential Equations in Sciences - NTADES 2014, July 1-5, 2014, Sofia, Bulgaria.
N. Kutev, N. Kolkovska, M. Dimova,
Finite time blow up of the solutions to
Klein–Gordon and Boussinesq type equations
with arbitrary positive initial energy.
Mathematics Days in Sofia, July 7-10, 2014, Sofia, Bulgaria.
K. Angelow, N. Kolkovska,
Numerical Study of Traveling Wave Solutions to 2D Boussinesq Equation.
Mathematics Days in Sofia, July 7-10, 2014, Sofia, Bulgaria.
M. Todorov, V. Gerdjikov, A. Kyuldjiev,
Multisoliton Interactions for the Manakov System
under Composite External Potentials.
The 10th AIMS Conference on Dynamical Systems,
Differential Equations and Applications, July 07–11,
2014, Madrid, Spain.
M. Todorov,
Quasi-Particle Dynamics of Linearly Coupled Systems of Nonlinear Schroedinger Equations.
The 10th AIMS Conference on Dynamical Systems,
Differential Equations and Applications, July 07–11,
2014, Madrid, Spain.
I. Bazhlekov, D. Vasileva,
Numerical Simulation of Drop Coalescence in the Presence of Inter-Phase Mass Transfer.
Eight International Conference on Numerical Methods and Applications,
Aug. 20 – 24, 2014, Borovets, Bulgaria.
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