List of Publications

Proceedings of Meetings, Congresses, etc.

[P72] Christov, C.I., Marinova R. S., and Marinov, T.T., Identifying the Stationary Viscous Flows Around a Circular Cylinder at High Reynolds Numbers, Springer Lecture Notes in Comp. Sci., LSSC 2007, LNCS 4818 , I. Lirkov, S. Margenov, and J. Wasniewski (Eds.), pp. 175--183, 2008.

[P71] Papanicolaou N. C., Christov C. I., On the Beam Functions Spectral Expansions for Fourth-Order Boundary Value Problems, Proceedings of AMEE'07, AIP , 2007, pp.119-126. DOI. doi:

[P70] Christov C.I., On a Higher-Gradient Generalization of Fourier's Law of Heat Conduction, Proceedings of AMEE'07, AIP, 2007, pp.11-22. DOI.

[P69] Marinov, T.T, Marinova R.S., Christov C.I., Coefficient Identification in Elliptic Partial Differential Equation , Large Scale Scientific Computatig, , I. Lirkov, S. Margenov, J. Wasniewski, Eds., Lecture notes in computer sciences, 3743, Springer Verlag, (2006), 365-372

[P68] Tang X-H., Christov C. I., An Operator splitting Scheme for Biharmonic Equation with Accelerated Convergence, Large Scale Scientific Computatig, , I. Lirkov, S. Margenov, J. Wasniewski, Eds., Lecture notes in computer sciences, 3743, Springer Verlag, (2006), 380-387

[P67] Choudhury J, Christov C. I., 2D Solitary Waves of Boussinesq Equation, ``ISIS International Symposium on Interdisciplinary Science'', AIP Conference Proceedings 755, (2005), 85-90. DOI.

[P66] Christou M. A., , Christov C.I., Fourier-Galerkin Method for Time Dependent Problems of Interacting Localized Waves, ``ISIS International Symposium on Interdisciplinary Science'', AIP Conference Proceedings 755, (2005), 70-77. DOI.

[P65] Christov C. I., Dynamics of Patterns on Elastic Hypersurfaces. Part II. Wave Mechanics of Flexural Quasi-Particles, ``ISIS International Symposium on Interdisciplinary Science'', AIP Conference Proceedings 755, (2005), 53-60. DOI.

[P64] Christov C. I., Dynamics of Patterns on Elastic Hypersurfaces. Part I. Shear Waves in the Middle Surface, ``ISIS International Symposium on Interdisciplinary Science'' AIP Conference Proceedings 755, (2005), 46-52. DOI.

[P63] Christov C.I., Nonlinear Quantization of Phase Patterns in a Continuum as a Hybrid System, Proc. of Neural, Parallel, and Scientific Computations, vol.2, M.P. Bekakos, G.S. Ladde, N.G. Medhin, and M. Sambandham, Eds., Dynamic Publishers, (2002), 281-284. PDF.

[P62] Pontes J., Christov C.I., Rosa R.R., Ramos F.M., Rodrigues-Neto C., Rempel E.L., Strict Implementation of Lyapunov Functional and Pattern Analysis in Swift-Hohenberg Non-uniformly Forced Dynamics, Proc. 2nd International Confrence Heat and Mass Transfer (COPPE/EE/UFR), Federal Institute of Rio de Janeiro, Brazil, October 22-26, 2001. CD-ROM publication, Paper P68.

[P61] Christov C.I., Pontes J., Implementation of the Lyapunov Functional in Difference Schemes for the Swift-Hohenberg Equation, Proc. 16th Brazilian Congress of Mechanical Engineering, COBEM20001, vol. 11, 156-164. CD-ROM publication.

[P60] Christov C.I., Velarde M.G., Coherent structures (Dissipative Solitons) in nonlinear system with dissipation. In: G. S. Ladde, N. G., Medhin, M Sambandham, Editors, Proceedings of Dynamic Systems and Applications III , Dynamic Publishers, 2001. 155-162.

[P59] Christov C.I., Marinova R.S., Marinov T.T., Fully Implicit Implementation of Boundary Conditions in Operator-Splitting Methods for Steady Incompressible Navier-Stokes Equations, Proceedings of the 2nd International Workshop on Scientific Computing and Applications, Kananaskis, Alberta, (2001), 27-36.

[P58] Maugin G.A., Christov C.I., Nonlinear Waves and Conservation Laws. Nonlinear Duality Between Elastic Waves and Quasi-Particles, In: Selected Topics in Nonlinear Wave Mechanics, C.I. Christov and A. Guran, Eds., (Birkhauser, 2001), pp. 117-160.

[P57] Christov C.I., Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flows, In: K. Vajravelu, Editor, Differential Equations and Nonlinear Mechanics, Kluwer. 2001, 49-68.

[P56] Christov C.I., Papanicolaou N., Galerkin Spectral Methods for Higher-Order Boundary-value Problems Arising in Fluid Mechanics, Proceeding of the Thirtieth Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 8-11, 2001, pp.438-443.

[P55] Christov C.I., Pontes J., A second-Order in Time Scheme for Evolution Equations Modelling Bénard Convection, In: Proceedings ENCIT,, Brazil, 2000, Paper No S06P01.

[P54] Marinova R.S., Christov C.I., Marinov T.T., High-Reynolds Number Solutions of Incompressible Navier-Stokes Equations using Vectorial Operator Splitting, In: Proceedings of International Conference on Computational Fluid Dynamics, July 10-14, 2000, Kyoto, Japan, Paper B3-6.

[P53] Marinova R.K., Marinov T.T., Sakai M., Christov C.I., A Splitting Scheme for Advection-Diffusion Problems Based on Finite Variable Difference Method, In: Proc. 16th IMACS World Congress, M. Deville and R. Owens, Eds. (2000), paper 134-3.

[P52] Marinov T.T., Christov C.I., Identification the unknown coefficient in Ordinary Differential Equations via Method of Variational Imbedding, In: Proc. 16th IMACS World Congress , M. Deville and R. Owens, Eds. (2000), paper 134-2.

[P51] Pontes J., Christov C.I., A time splitting method for evolution equations modelling Bénard convection, In Proc.: XIV Brazilian Congress on Mech. Engn., Dec. 08-12, 1997.

[P50] Christov C.I., Marinova R.S., Implicit Scheme for Navier-Stokes Equations in Primitive Variables via Vectorial Operator Splitting, In: Large-Scale Scientific Computations of Engineering and Environmental Problems, Edited by M. Griebel, O. P. Iliev, S. D. Margenov and P. S. Vassilevski, Notes on Numerical Fluid Mechanics, 62, (Vieweg Verlag, Braunschweig, Germany, 1997), 251-259.

[P49] Christov C.I., Todorov M.D., Numerical Approach to Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone, In Proc: Application of Mathematics in Technology, Sozopol, 14-21.9.1996, (Publishing House of the Technical University of Sofia, 1996), 88-97.

[P48] Christov C.I., Soliton-Supporting Model for Dispersive Shallow-Water Flows, In Proc: Application of Mathematics in Technology, Sozopol, 14-21.9.1996, (Publishing House of the Technical University of Sofia, 1996), 78-87.

[P47] Christov C.I., Pontes J., Velarde M.G., Splitting methods for free-surface viscous flows subjected to thermal Marangoni effect, In: Advanced Concepts and Techniques in Thermal Modelling, (Elsevier-Amsterdam, 1996), pp.142-148.

[P46] Neytchev P.N., Christov C.I., Khristov Kh.P., Neykov N., Latinov L., Clasificación de estructuras en la circulación general atmosférica (Pattern classification for Global Atmospheric circulation) In: Proc. III Simposio Nacional de Predicción del Instituto Nacional de Meteorología, Madrid, 1-4 Diciembre, 1992, (Ministerio de Medio Ambiente, Madrid, 1996), 437-452.

[P45] Christov C.I., Rodriguez E., García-Moya J.-A., Díaz-Pabón R., Applicaciín de rejillas adaptables en modeles de mesoscala para la redicciín numérica del tiempo (On the application of adaptive grids in some mesoscale models for numerical weather prediction),In: Proc. III Simposio Nacional de Predicción del Instituto Nacional de Meteorología, Madrid, 1-4 Diciembre, 1992, (Ministerio de Medio Ambiente, Madrid, 1996), 197-204.

[P44] Ushatov R.D., Shefik B., Christov C.I., Enfoque variacional de análisis objetivo de datos meteorológicas mediante la aproximación con B-splines multivariantes (Variational approach to objective analysis of meteorological data via approximation withmultivariate B-splines), In: Proc. III Simposio Nacional de Predicción del Instituto Nacional de Meteorología, Madrid, 1-4 Diciembre, 1992, (Ministerio de Medio Ambiente, Madrid, 1996), 189-196.

[P43] Steyt Y., Christov C.I., Velarde M.G., Solitary-Wave Solutions of a Generalized Wave Equation with Higher-Order Dispersion, In: Continuum Models and Discrete Systems - Proceedings of CMDS8, K. Markov ed. (World Scientific, Singapore, 1996), 471-479.

[P42] Christov C.I., Discrete out of Continuous: Dynamics of Phase patterns in Continua, In: Continuum Models and Discrete Systems - Proceedings of CMDS8, K. Markov ed. (World Scientific, 1996), 370-394.

[P41] Christov C.I., Conservative Difference Scheme for Boussinesq Model of Surface Waves, In: Proceedings ICFD 5, K. Morton, J. Baines, eds. (Oxford University Press, Oxford, 1996), 343-349.

[P40] Christov C.I., Maugin G.A., Numerics of Some Generalized Models of Lattice Dynamics, In: Nonlinear Waves in Solids, J.L. Wegner and F. R. Norwood, eds., (ASME Book N0 AMR137, 1995), 374-379.

[P39] Christov C.I., Nartov V.P., Truncated Stochastic Functional Series as a Two-Point Closure Technique in Turbulence, In: Mixing in Geophysical Flows, J. M. Redondo, O. Metais, eds., (Barcelona, 1995), 270-290.

[P38] Christov C.I., Velarde M.G., Solitons and Dissipation, In: Fluid Physics: Proceedings of Summer Schools, M.G. Velarde and C.I. Christov, eds., (World Scientific, Singapore, 1995), 472-506.

[P37] Christov C.I., Method of Variational Imbedding for Soliton Problems, In: Fluid Physics: Proceedings of Summer Schools, M.G. Velarde and C.I. Christov, eds., (World Scientific, Singapore, 1995), 403-422.

[P36] Christov C.I., Numerical investigation of the long-time evolution and interaction of localized waves, In: Fluid Physics: Lecture Notes of Summer Schools, M.G. Velarde and C.I. Christov, eds., (World Scientific, Singapore, 1995), 353-378.

[P35] Christov C.I., On the mechanics of localized structures in continuous media, In: Fluid Physics: Proceedings of Summer Schools, M.G. Velarde and C.I. Christov, eds., (World Scientific, Singapore, 1995), 33-60.

[P34] Christov C.I., Gaussian elimination with pivoting for multidiagonal systems, Internal Report, University of Reading, 4 (1994).

[P33] Todorov M.D., Christov C.I., Numerical Approach to Ideal Separation on Airfoils. Application of Deformed Quasi-Parabolic Coordinates, In: Advances in Numerical Methods and Applications O(h3), I. Dimov et al. ed., (World Scientific, Singapore, 1994), 408-417.

[P32] Christov C.I., Ridha A., Splitting Scheme for Iterative Solution of Bi-Harmonic Equation. Application to 2D Navier-Stokes Problems, In: Advances in Numerical Methods and Applications O(h3), I. Dimov et al. ed., (World Scientific, Singapore, 1994), 341-352.

[P31] Marinova R.S., Christov C.I., Numerical investigation of the stationary 2D flow around cylinder by means of Method of Variational Imbedding. In: Proc. 18th Summer School on Application. of Mathematics, Varna 1992, (Sofia, 1993), 162-165. (in Bulgarian)

[P23] Christov C.I., Maugin G.A., Long-time evolution of acoustic signals in nonlinear crystals, In: Proc. Advances in Nonlinear Acoustics, H. Hobaek, ed., (World Scientific, Singapore, 1993), 457-462.

[P29] Marinov T., Christov C., Boundary layer thickness as an inverse problem of coefficient identification. In: HADMAR'91, Bulgarian Centre for Ship Hydrodynamics, Varna, 1991, paper No57.

[P28] Christov C.I., Maugin G.A., A numerical venture into the menagerie of coherent structures of a generalized Boussinesq equation, In: Proceedings of the 7th Interdisciplinary Workshop "Nonlinear Coherent Structures in Physics and Biology", 4-6 June 1991, M. Remoissenet, M. Peyrard, eds., (Springer, Berlin, 1991), 209-216

[P27] Velarde, M.G, Garazo A.N., Christov C.I., Localized structures and solitary waves excited by interfacial stresses. In: Spontaneous formation of space- time structures and criticality, T. Riste and D. Sherrington eds., (Kluwer, Dordrecht, 1991), 263-272.

[P26] Christov C.I., Todorov M.D., Numerical solution of 2D Helmholtz problem for blunt bodies and airfoils, In: Proc. IUTAM Symposium on Separated Flows and Jets, Novosibirsk, 1990, V. V. Kozlov and A. V. Dovgal, eds. (Springer, Berlin, 1991), 175-190.

[P25] Christov C.I., Flows with coherent structures: application of random point functions and stochastic functional series, In: Continuum Models and Discrete Systems, G. A. Maugin ed., (Longman, 1990), vol. 1, 232-253.

[P24] Christov C.I., Beronov K., On the role of second order product density in random point approximation to chaotic dynamics of Lorenz attractor, In: Proc. 14th National Summer School on Applications of Mathematics, Varna 1988, (Sofia, 1989).

[P23] Nartov V.P., Christov C.I., Structural turbulence and principle of least dissipation in Poiseuille flow, Reprint 199, Institute of Thermophysics, Novosibirsk, 1989, 40 p. (in Russian).

[P22] Christov C.I., Nartov V.P., Jilyaev M.I., Interaction of the coherent structures of turbulent flow with the longitudinal magnetic field, Preprint No 15, Institute of Theor. Appl. Mech., Novosibirsk, 1987. (in Russian)

[P21] Christov C.I., Nartov V.P., Application of the method of variational imbedding for calculating shapes of solitons of falling thin films, In: Proc. Conf. on Centenary of Academician L. Tchakalov, Samokov,Bulgaria, 1986, 135-142.

[P20] Tzankov I.T., Christov C.I., On the numerical treatment of separated boundary layers, In: SMSSH'86 (Proc. 15th Jubilee Seminar of BSHC, Varna), 1986, vol.3, paper No21.

[P19] Christov C.I., Todorov M.D., On the determination of the shape of stagnation zone in separated inviscid flows, In: SMSSH'86 (Proc. 15th Jubilee Seminar of BSHC, Varna), 1986, vol.2, paper No 10.

[P18] Nartov V.P., Christov C.I., Stochastic regime in flows with weak dependence on longitudinal coordinate, In: Modelling in Hydrodynamics and Energetics, (Novosibirsk, 1985), 143-144. (in Russian)

[P17] Christov C.I., Todorov M.D., Numerical investigation of separated or cavitating inviscid flows, In: Numerical Methods and Applications '84, (Sofia, 1985), 216-223.

[P16] Christov C.I., Nartov V.P., On a bifurcation and emerging of a stochastic solution in a variational problem for Poiseuille flows, In: Laminar-Turbulent Transition, IUTAM Symposium, Novosibirsk, 1984, V.V. Kozlov ed., (Springer, Berlin-Heidelberg, 1985),227-232.

[P15] Christov C.I., Methd of Functional Series in Mechanics of Media with Random Structure, In {\sl Mathematics and Mechanics and their Applications in Science and Practice}, Sofia 1985, 205--208, Published by DKNTP. (in Bulgarian) [P14] Christov C.I., A method for identification of homoclinic trajectories, In: Mathematics and Education in Mathematics (Proc. 14-th Spring Conf. Union of Bulg. Mathematicians), Sofia, 1985, 571-577.

[P13] Nartov V.P., Christov C.I., Structural turbulence in MHD flows, In: Physical Mechanics of Heterogeneous Media, G. Gadiak ed., (Novosibirsk, 1984), 24-26. (in Russian)

[P12] Christov C.I., Toward a statistical theory of emulsions, In: Mathematics and Education in Mathematics (Proc. 13th Spring Conf. Union Bulg. Mathematicians), (Sofia, 1984), 473-481.

[P11] Christov C.I., Nartov V.P., On a bifurcation and emerging of a stochastic solution in a variational problem connected with plane Poiseuille flow, In: Numerical Modelling in Hydrodynamics, B.G. Kuznetsov ed., (Inst. Theor. Appl. Mech., Novosibirsk), 1983, 124-144. (in Russian)

[P10] Christov C.I., Poisson-Wiener expansion in statistical theory of dilute suspensions, In: Hydrodynamics and Phys. Processes in Liquids and Disperse Systems, (Prague, 1983), 101-104.

[P9] Christov C.I., Orthogonal coordinate meshes with manageable Jacobian, In: Numerical Grid Generation, Joe F. Thompson ed., (Elsevier, 1982), 885-894.

[P8] Christov C.I., Method for generating orthogonal coordinate meshes with certain optimal features, In: Proc. Jubilee Sci. Conf. of Bulg. Center of Ship Hydrodynamics, Varna 1981, vol.2, paper No43.

[P7] Orunkhanov M.K., Christov C.I., Interaction of two parallel circular cylinders in gradient inviscid flow, In: Collection of Scientific Works of Inst. Theor. Appl. Mech., B.G. Kuznetsov ed., (Novosibirsk, 1980), 154-164. (in Russian).

[P6] Volkov P.K., Christov C.I., Stationary inviscid flow past a gas bubble, In: Collection of Scientific Works of Inst. Theor. Appl. Mech., B.G. Kuznetsov ed., (Novosibirsk, 1980), 98-104. (in Russian).

[P5] Smagulov Sh., Christov C.I., Iterationless numerical implementation of the boundary conditions in the vorticity-stream function formulation of Navier-Stokes equations, Institute of Theoretical and Applied Mechanics, Novosibirsk, USSR, Preprint No 20, 1980, 21p. (in Russian)

[P4] Zapryanov Z.D., Christov C.I. Toshev E., Fully developed viscous incompressible flow in toroidal tube of circular cross-section, Proc. 3rd Nat. Congr. Theor. Appl. Mech., Varna 1977, vol.1, 155-160. (in Bulgarian)

[P3] Djupanov V.A., Christov C.I., On the Underwater stability of the bars,In: Proc. 8th Symp. IAHR, 1976, Sect. Hydr.Machinery and Equipment, (Leningrad, 1976) 173-181.

[P2] Christov C.I., Dichev C.B., An algorithm for finding double root of transcendental equation, implemented in FORTRAN IV, In: Proc. Nation. Conf. on FORTRAN, (Union of Bulg. Mathematicians, Sofia, 1975), 106-110. (in Bulgarian)

[P1] Djupanov V.A., Christov C.I., Approximate solution of the problem of stability of rod of circular cross-section submerged in an infinite fluid layer subjected to non-conservative loading, In: Proc. 2nd Nat. Congr. on Theor. Appl. Mech., Varna, 1973, vol.1, 734-741. (in Bulgarian)