Edit Profile (opens in new tab) Christov, Christo Ivanov Compute Distance To: Compute Author ID: christov.christo-i Published as: Christov, C. I.; Christov, Christo I.; Khristov, Kh. I.; Khristov, Khristo I.; Hristov, Hr.; Khristov, Khristo; Khristov, Khristo Ivanov; Khristov, Khr. Iv.; Christov, Christo; Christov, Ch. I.; Khristov, Kh.; Christov, C.; Hristov, Hristo Iv.; Khristov, Khr. I.; Hristov, Hristo; Christov, Chr.; Khristov, Khr.; Christov, Ch.; Khristov, Khr more...less Homepage: http://christov.metacontinuum.com/ External Links: MGP · dblp Documents Indexed: 148 Publications since 1976, including 1 Book 3 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 103 Joint Publications 641 Co-Co-Authors all top 5 Co-Authors 40 single-authored 11 Marinov, Tchavdar T. 11 Marinova, Rossitza S. 9 Todorov, Michail D. 7 Christov, Ivan C. 7 Velarde, Manuel G. 7 Zapryanov, Zapryan 6 Christou, Marios Andreas 6 Papanicolaou, Nectarios C. 5 Jordan, Pedro M. 4 Homsy, George M. 4 Markov, Konstantin Z. 4 Maugin, Gérard A. 4 Pontes, José Pedro 3 Nartov, V. P. 2 Bekyarov, K. L. 2 Khadzhikov, Lyuben 2 Moshkin, Nikolay P. 2 Ridha, Adil 2 Sonnier, W. Josh 2 Toshev, E. T. 2 Tzankov, I. T. 2 Volkov, Petr K. 2 Walgraef, Daniel 1 Aiso, Hideaki 1 Bekyarova, P. T. 1 Boyadzhiev, Khristo N. 1 De Wit, Anne 1 Deng, Keng 1 Gallez, D. 1 Godev, N. G. 1 Guran, Ardéshir 1 Jeleva, Iv. 1 Khadzhikov, L. M. 1 Kolkovska, Natalia T. 1 Kovacheva, Nikolina 1 Kovatcheva, N. T. 1 Lopa, I. 1 Mahviladze, G. 1 Mihovsky, Ivan M. 1 Mishonov, M. K. 1 Nartov, Valerij 1 Poochinapan, Kanyuta 1 Porubov, Alexey V. 1 Puphasuk, Pikul 1 Sharbanov, Blagovest 1 Simeonova, K. M. 1 Sophocleous, Christodoulos 1 Suresh, V. A. 1 Takahashi, Tadayasu 1 Todorov, Mikhail 1 Tzankov, Ivan 1 Vasileva, Daniela P. 1 Wasan, Darsh T. 1 Zheleva, Ivanka M. all top 5 Serials 16 Teoretichna i Prilozhna Mekhanika 11 Mathematics and Computers in Simulation 11 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 9 Doklady Bolgarskoĭ Akademii Nauk 6 Discrete and Continuous Dynamical Systems 5 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 International Journal for Numerical Methods in Fluids 3 Wave Motion 3 Mechanics Research Communications 3 Physics of Fluids 2 Journal of Fluid Mechanics 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Soviet Physics. Doklady 2 Neural, Parallel & Scientific Computations 2 Foundations of Physics 1 International Journal of Heat and Mass Transfer 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Sound and Vibration 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Chaos, Solitons and Fractals 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Scientific and Statistical Computing 1 Physica D 1 Applied Mathematical Modelling 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Communications in Applied Analysis 1 International Journal of Computational Fluid Dynamics 1 Vychislitel’nye Tekhnologii 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Journal of Computational Analysis and Applications 1 CMES. Computer Modeling in Engineering & Sciences 1 Chiang Mai Journal of Science 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 World Scientific Series on Nonlinear Science. Series B: Special Theme Issues and Proceedings 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 78 Fluid mechanics (76-XX) 52 Partial differential equations (35-XX) 34 Numerical analysis (65-XX) 26 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Probability theory and stochastic processes (60-XX) 10 Optics, electromagnetic theory (78-XX) 5 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 746 times in 491 Documents Cited by ▼ Year ▼ On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction. Zbl 1258.80001Christov, C. I. 88 2009 A complete orthonormal system of functions in \(L^ 2(-\infty,\infty)\) space. Zbl 0562.33009Christov, C. I. 67 1982 Dissipative solitons. Zbl 0885.35108Christov, C. I.; Velarde, M. G. 39 1995 On Boussinesq’s paradigm in nonlinear wave propagation. Zbl 1134.74028Christov, Christo I.; Maugin, Gérard A.; Porubov, Alexey V. 30 2007 An energy-consistent dispersive shallow-water model. Zbl 1074.76510Christov, C. I. 29 2001 Nonlinear evolution equations for thin liquid films with insoluble surfactants. Zbl 0846.76027De Wit, A.; Gallez, D.; Christov, C. I. 25 1994 Modeling weakly nonlinear acoustic wave propagation. Zbl 1125.76379Christov, Ivan; Christov, C. I.; Jordan, P. M. 25 2007 Strong coupling of Schrödinger equations: conservative scheme approach. Zbl 1119.65396Sonnier, W. J.; Christov, C. I. 23 2005 Inelastic interaction of Boussinesq solitons. Zbl 0899.76089Christov, C. I.; Velarde, M. G. 21 1994 Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G. 20 1997 Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional. Zbl 1197.65120Christov, C. I.; Pontes, J. 18 2002 Physical dynamics of quasi-particles in nonlinear wave equations. Zbl 1217.81052Christov, Ivan; Christov, C. I. 17 2008 Nonlinear duality between elastic waves and quasi-particles. Zbl 1026.74041Maugin, G. A.; Christov, C. I. 14 2002 A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves. Zbl 1236.76039Jordan, P. M.; Christov, C. I. 12 2005 Fourier-Galerkin method for 2D solitons of Boussinesq equation. Zbl 1107.65343Christou, M. A.; Christov, C. I. 11 2007 A Fourier-series method for solving soliton problems. Zbl 0707.65090Christov, C. I.; Bekyarov, K. L. 10 1990 Novel numerical approach to solitary-wave solutions identification of Boussinesq and Korteweg-de Vries equations. Zbl 1080.35124Marinov, Tchavdar T.; Christov, Christo I.; Marinova, Rossitza S. 10 2005 Fourier-Galerkin method for localized solutions of equations with cubic nonlinearity. Zbl 1024.65097Christou, M. A.; Christov, C. I. 10 2002 On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077Christov, Christo I.; Velarde, Manuel G. 9 1993 Identification of heat-conduction coefficient via method of variational imbedding. Zbl 1185.65170Christov, C. I.; Marinov, T. 9 1998 Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations. Zbl 1163.65325Todorov, M. D.; Christov, C. I. 9 2007 A fully coupled solver for incompressible Navier-Stokes equations using operator splitting. Zbl 1043.76530Marinova, R. S.; Christov, C. I.; Marinov, T. T. 9 2003 Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation. Zbl 0993.76020Christov, C. I.; Homsy, G. M. 8 2001 Implicit vectorial operator splitting for incompressible Navier-Stokes equations in primitive variables. Zbl 1018.76030Christov, C. I.; Marinova, R. S. 8 2001 Conservative difference scheme for Boussinesq model of surface waves. Zbl 0890.76048Christov, C. I. 8 1995 On the material invariant formulation of Maxwell’s displacement current. Zbl 1112.78003Christov, Christo I. 8 2006 Dissipative quasi-particles: the generalized wave equation approach. Zbl 1042.35064Christov, C. I. 8 2002 Frame indifferent formulation of Maxwell’s elastic-fluid model and the rational continuum mechanics of the electromagnetic field. Zbl 1272.76024Christov, C. I. 8 2011 Interacting localized waves for the regularized long wave equation via a Galerkin spectral method. Zbl 1073.65102Christou, M. A.; Christov, C. I. 7 2005 Maxwell-Lorentz electrodynamics as a manifestation of the dynamics of a viscoelastic metacontinuum. Zbl 1129.78003Christov, C. I. 7 2007 Perturbation solution for the 2D Boussinesq equation. Zbl 1272.76182Christov, C. I.; Choudhury, J. 7 2011 Numerical investigation of the laminar boundary layer flow around an impulsively moved circular cylinder. Zbl 0846.76057Christov, C. I.; Tzankov, I. T. 6 1993 Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition. Zbl 1006.65096Christov, C. I.; Deng, K. 6 2002 Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE. Zbl 1176.65098Todorov, M. D.; Christov, C. I. 6 2009 Fourier-Galerkin algorithm for 2D localized solutions. Zbl 1079.65551Christov, Christo I. 5 1998 Coefficient identification in elliptic partial differential equation. Zbl 1142.65433Marinov, Tchavdar T.; Marinova, Rossitza S.; Christov, Christo I. 5 2006 Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails. Zbl 1422.74054Christov, Christo I.; Marinov, Tchavdar T.; Marinova, Rossitza S. 5 2009 Enhancement of transport from drops by steady and modulated electric fields. Zbl 1183.76151Christov, C. I.; Homsy, G. M. 5 2009 Numerical investigation of the steady viscous flow past a stationary deformable bubble. Zbl 0579.76039Christov, C. I.; Volkov, P. K. 5 1985 Corrigendum and addendum to: “Modeling weakly nonlinear acoustic wave propagation”. Zbl 1330.76125Christov, Ivan; Christov, C. I.; Jordan, P. M. 5 2015 On the evolution of localized wave packets governed by a dissipative wave equation. Zbl 1231.76264Christov, C. I. 5 2008 The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot. Zbl 1222.76047Papanicolaou, N. C.; Christov, C. I.; Jordan, P. M. 5 2011 Memory effects for the heat conductivity of random suspensions of spheres. Zbl 1201.80014Chowdhury, A.; Christov, C. I. 5 2010 On the numerical simulation of unsteady solutions for the 2D Boussinesq paradigm equation. Zbl 1318.76013Christov, Christo I.; Kolkovska, Natalia; Vasileva, Daniela 5 2011 Splitting scheme for iterative solution of bi-harmonic equation. Application to 2D Navier-Stokes problems. Zbl 0812.76051Christov, C. I.; Ridha, A. 4 1994 Nonlinear duality between elastic waves and quasi-particles in microstructured solids. Zbl 0907.73016Maugin, Gérard A.; Christov, Christo 4 1997 Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting. Zbl 0923.76174Christov, C. I.; Marinova, R. S. 4 1998 On a higher-gradient generalization of Fourier’s law of heat conduction. Zbl 1179.80019Christov, C. I. 4 2007 An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system. Zbl 0822.65118Christov, C. I.; Maugin, G. A. 4 1995 Orthogonal coordinate meshes with manageable Jacobian. Zbl 0493.65067Christov, C. I. 3 1982 Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation. Zbl 0749.35041Bekyarov, K. L.; Christov, C. I. 3 1991 On the problem of heat conduction for random dispersions of spheres allowed to overlap. Zbl 0757.35092Markov, Konstantin Z.; Christov, Christo I. 3 1992 The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics. Zbl 1406.74362Christov, C. I. 3 2009 Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation. Zbl 1187.65094Sonnier, W. Josh; Christov, C. I. 3 2009 Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations. Zbl 1250.78033Todorov, M. D.; Christov, C. I. 3 2012 The method of variational imbedding for parabolic incorrect problems of coefficient identification. Zbl 0624.35080Khristov, Khr. I. 3 1987 Resonant thermocapillary and buoyant flows with finite frequency gravity modulation. Zbl 1149.76555Suresh, V. A.; Christov, C. I.; Homsy, G. M. 3 1999 On the nonlinear continuum mechanics of space and the notion of luminiferous medium. Zbl 1239.83002Christov, C. I. 3 2009 Numerical implementation of the asymptotic boundary conditions for steadily propagating 2D solitons of Boussinesq type equations. Zbl 1320.76031Christov, Christo I. 3 2012 An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations. Zbl 1235.76091Christov, C. I.; Tang, X.-H. 2 2007 Numerical solutions for steady flow past a circular cylinder via the method of variational imbedding. Zbl 1079.76595Christov, Christo I.; Marinova, Rossitza S. 2 1998 Flows with coherent structures: Application of random point functions and stochastic functional series. Zbl 0738.76032Christov, C. I. 2 1990 An operator splitting scheme for biharmonic equation with accelerated convergence. Zbl 1142.65405Tang, X. H.; Christov, Ch. I. 2 2006 The coarse-grain description of interacting sine-Gordon solitons with varying widths. Zbl 1187.35204Christov, Ivan; Christov, C. I. 2 2009 Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system. Zbl 1187.65095Todorov, M. D.; Christov, C. I. 2 2009 Cumulative nonlinear effects in acoustic wave propagation. Zbl 1184.76847Christov, Ivan; Christov, C. I.; Jordan, P. M. 2 2007 Splitting scheme for the stream- function formulation of 2D unsteady Navier-Stokes equations. (Un schéma à pas fractionnaires de résolution de l’équation instationnaire de fonction de courant.) Zbl 0821.76047Christov, Christo I.; Ridha, Adil 2 1995 On mechanical waves and Doppler shifts from moving boundaries. Zbl 1382.35150Christov, Ivan C.; Christov, Christo I. 2 2017 Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024Pontes, J.; Christov, C. I.; Velarde, M. G. 2 1996 Fourier-Galerkin method for interacting localized waves. Zbl 1040.65083Christou, M. A.; Christov, C. I. 2 2002 Oscillatory fully developed viscous flow in a toroidal tube. Zbl 0441.76024Christov, Chr.; Zapryanov, Z. 2 1980 Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary. Zbl 1156.65075Christou, M. A.; Sophocleous, C.; Christov, C. I. 2 2008 Fully developed laminar flow and heat transfer in curved tubes. Zbl 0428.76031Zapryanov, Z.; Christov, Ch.; Toshev, E. 2 1980 Stochastic functional expansion for random media with perfectly disordered constitution. Zbl 0564.60066Christov, C. I.; Markov, K. Z. 2 1985 Stochastic regime for Kuramoto-Sivashinsky equation. I: Random point approximation. Zbl 0925.60068Khristov, Khristo I. 1 1987 Stochastic regime for Kuramoto-Sivashinsky equation. II: Numerical simulation. Zbl 0925.60069Sharbanov, Blagovest; Khristov, Khristo I. 1 1987 On a canonical distribution of the stochastic processes and its application in turbulence. Zbl 0454.76057Khristov, Kh. 1 1980 Numerical study of the viscous flow in oscillatory spherical annuli. Zbl 0482.76038Zapryanov, Z.; Christov, C. 1 1981 Point random functions and large-scale turbulence. (Tochechnye sluchajnye funktsii i krupnomasshtabnaya turbulentnost’.) Zbl 0835.76037Khristov, Kh. I.; Nartov, V. P. 1 1992 A first-order in thickness model for flexural deformations of geometrically nonlinear shells. Zbl 1079.74579Christov, Christo I. 1 1998 Method of variational imbedding for the inverse problem of boundary-layer thickness identification. Zbl 0904.76070Christov, Christo I.; Marinov, Tchavdar T. 1 1997 On the beam functions spectral expansions for fourth-order boundary value problems. Zbl 1179.65105Papanicolaou, N. C.; Christov, C. I. 1 2007 Numerical implementation of Aristov-Pukhnachev’s formulation for axisymmetric viscous incompressible flows. Zbl 1425.76173Moshkin, N. P.; Poochinapan, K.; Christov, C. I. 1 2010 Non-linear waves of the steady natural convection in a vertical fluid layer: a numerical approach. Zbl 1129.76051Tang, X.-H.; Christov, C. I. 1 2007 Fourier-Galerkin method for localized solutions of the sixth-order generalized Boussinesq equation. Zbl 1301.65105Christou, M. A.; Christov, C. I. 1 2001 Investigation of the long-time evolution of localized solutions of a dispersive wave system. Zbl 1439.65096Christov, C. I.; Todorov, M. D. 1 2013 On the correct posing of the method of transfinite interpolation for solving free-boundary problems of fluid flows. Zbl 0578.76001Christov, C. I.; Volkov, P. K. 1 1985 Stochastic functional expansion in elasticity of heterogeneous solids. Zbl 0592.73002Christov, Christo I.; Markov, Konstantin Z. 1 1985 An inviscid model of flow separation around blunt bodies. Zbl 0624.76038Khristov, Kh. I.; Todorov, M. D. 1 1987 The method of variational imbedding for elliptic incorrect problems. Zbl 0631.35082Khristov, Kh. I. 1 1986 The method of variational imbedding for time reversal parabolic incorrect problems. Zbl 0638.35082Khristov, Kh. I. 1 1987 Secondary streaming for the high-frequency viscous flow in eccentric spherical annuli. Zbl 0642.76046Kovatcheva, N. T.; Christov, C. I.; Zapryanov, Z. D. 1 1988 Galerkin technique based on beam functions in application to the parametric instability of thermal convection in a vertical slot. Zbl 1295.76024Papanicolaou, N. C.; Christov, C. I.; Homsy, G. M. 1 2009 Identifying the stationary viscous flows around a circular cylinder at high Reynolds numbers. Zbl 1229.76028Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T. 1 2008 Does the stationary viscous flow around a circular cylinder exist for large Reynolds numbers? A numerical solution via variational imbedding. Zbl 1417.76014Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T. 1 2009 A Galerkin spectral method for thermo-convection boundary value problems. Zbl 1080.65093Papanicolaou, N. C.; Christov, C. I. 1 2002 Conservation properties of vectorial operator splitting. Zbl 1064.76077Marinova, Rossitza S.; Takahashi, Tadayasu; Aiso, Hideaki; Christov, Christo I.; Marinov, Tchavdar T. 1 2003 On a stationary random process with special properties. Zbl 0417.60047Hristov, Hr. 1 1979 On mechanical waves and Doppler shifts from moving boundaries. Zbl 1382.35150Christov, Ivan C.; Christov, Christo I. 2 2017 Corrigendum and addendum to: “Modeling weakly nonlinear acoustic wave propagation”. Zbl 1330.76125Christov, Ivan; Christov, C. I.; Jordan, P. M. 5 2015 Investigation of the long-time evolution of localized solutions of a dispersive wave system. Zbl 1439.65096Christov, C. I.; Todorov, M. D. 1 2013 Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations. Zbl 1250.78033Todorov, M. D.; Christov, C. I. 3 2012 Numerical implementation of the asymptotic boundary conditions for steadily propagating 2D solitons of Boussinesq type equations. Zbl 1320.76031Christov, Christo I. 3 2012 Frame indifferent formulation of Maxwell’s elastic-fluid model and the rational continuum mechanics of the electromagnetic field. Zbl 1272.76024Christov, C. I. 8 2011 Perturbation solution for the 2D Boussinesq equation. Zbl 1272.76182Christov, C. I.; Choudhury, J. 7 2011 The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot. Zbl 1222.76047Papanicolaou, N. C.; Christov, C. I.; Jordan, P. M. 5 2011 On the numerical simulation of unsteady solutions for the 2D Boussinesq paradigm equation. Zbl 1318.76013Christov, Christo I.; Kolkovska, Natalia; Vasileva, Daniela 5 2011 Memory effects for the heat conductivity of random suspensions of spheres. Zbl 1201.80014Chowdhury, A.; Christov, C. I. 5 2010 Numerical implementation of Aristov-Pukhnachev’s formulation for axisymmetric viscous incompressible flows. Zbl 1425.76173Moshkin, N. P.; Poochinapan, K.; Christov, C. I. 1 2010 On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction. Zbl 1258.80001Christov, C. I. 88 2009 Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE. Zbl 1176.65098Todorov, M. D.; Christov, C. I. 6 2009 Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails. Zbl 1422.74054Christov, Christo I.; Marinov, Tchavdar T.; Marinova, Rossitza S. 5 2009 Enhancement of transport from drops by steady and modulated electric fields. Zbl 1183.76151Christov, C. I.; Homsy, G. M. 5 2009 The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics. Zbl 1406.74362Christov, C. I. 3 2009 Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation. Zbl 1187.65094Sonnier, W. Josh; Christov, C. I. 3 2009 On the nonlinear continuum mechanics of space and the notion of luminiferous medium. Zbl 1239.83002Christov, C. I. 3 2009 The coarse-grain description of interacting sine-Gordon solitons with varying widths. Zbl 1187.35204Christov, Ivan; Christov, C. I. 2 2009 Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system. Zbl 1187.65095Todorov, M. D.; Christov, C. I. 2 2009 Galerkin technique based on beam functions in application to the parametric instability of thermal convection in a vertical slot. Zbl 1295.76024Papanicolaou, N. C.; Christov, C. I.; Homsy, G. M. 1 2009 Does the stationary viscous flow around a circular cylinder exist for large Reynolds numbers? A numerical solution via variational imbedding. Zbl 1417.76014Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T. 1 2009 Physical dynamics of quasi-particles in nonlinear wave equations. Zbl 1217.81052Christov, Ivan; Christov, C. I. 17 2008 On the evolution of localized wave packets governed by a dissipative wave equation. Zbl 1231.76264Christov, C. I. 5 2008 Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary. Zbl 1156.65075Christou, M. A.; Sophocleous, C.; Christov, C. I. 2 2008 Identifying the stationary viscous flows around a circular cylinder at high Reynolds numbers. Zbl 1229.76028Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T. 1 2008 On Boussinesq’s paradigm in nonlinear wave propagation. Zbl 1134.74028Christov, Christo I.; Maugin, Gérard A.; Porubov, Alexey V. 30 2007 Modeling weakly nonlinear acoustic wave propagation. Zbl 1125.76379Christov, Ivan; Christov, C. I.; Jordan, P. M. 25 2007 Fourier-Galerkin method for 2D solitons of Boussinesq equation. Zbl 1107.65343Christou, M. A.; Christov, C. I. 11 2007 Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations. Zbl 1163.65325Todorov, M. D.; Christov, C. I. 9 2007 Maxwell-Lorentz electrodynamics as a manifestation of the dynamics of a viscoelastic metacontinuum. Zbl 1129.78003Christov, C. I. 7 2007 On a higher-gradient generalization of Fourier’s law of heat conduction. Zbl 1179.80019Christov, C. I. 4 2007 An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations. Zbl 1235.76091Christov, C. I.; Tang, X.-H. 2 2007 Cumulative nonlinear effects in acoustic wave propagation. Zbl 1184.76847Christov, Ivan; Christov, C. I.; Jordan, P. M. 2 2007 On the beam functions spectral expansions for fourth-order boundary value problems. Zbl 1179.65105Papanicolaou, N. C.; Christov, C. I. 1 2007 Non-linear waves of the steady natural convection in a vertical fluid layer: a numerical approach. Zbl 1129.76051Tang, X.-H.; Christov, C. I. 1 2007 On the material invariant formulation of Maxwell’s displacement current. Zbl 1112.78003Christov, Christo I. 8 2006 Coefficient identification in elliptic partial differential equation. Zbl 1142.65433Marinov, Tchavdar T.; Marinova, Rossitza S.; Christov, Christo I. 5 2006 An operator splitting scheme for biharmonic equation with accelerated convergence. Zbl 1142.65405Tang, X. H.; Christov, Ch. I. 2 2006 Strong coupling of Schrödinger equations: conservative scheme approach. Zbl 1119.65396Sonnier, W. J.; Christov, C. I. 23 2005 A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves. Zbl 1236.76039Jordan, P. M.; Christov, C. I. 12 2005 Novel numerical approach to solitary-wave solutions identification of Boussinesq and Korteweg-de Vries equations. Zbl 1080.35124Marinov, Tchavdar T.; Christov, Christo I.; Marinova, Rossitza S. 10 2005 Interacting localized waves for the regularized long wave equation via a Galerkin spectral method. Zbl 1073.65102Christou, M. A.; Christov, C. I. 7 2005 A fully coupled solver for incompressible Navier-Stokes equations using operator splitting. Zbl 1043.76530Marinova, R. S.; Christov, C. I.; Marinov, T. T. 9 2003 Conservation properties of vectorial operator splitting. Zbl 1064.76077Marinova, Rossitza S.; Takahashi, Tadayasu; Aiso, Hideaki; Christov, Christo I.; Marinov, Tchavdar T. 1 2003 Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional. Zbl 1197.65120Christov, C. I.; Pontes, J. 18 2002 Nonlinear duality between elastic waves and quasi-particles. Zbl 1026.74041Maugin, G. A.; Christov, C. I. 14 2002 Fourier-Galerkin method for localized solutions of equations with cubic nonlinearity. Zbl 1024.65097Christou, M. A.; Christov, C. I. 10 2002 Dissipative quasi-particles: the generalized wave equation approach. Zbl 1042.35064Christov, C. I. 8 2002 Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition. Zbl 1006.65096Christov, C. I.; Deng, K. 6 2002 Fourier-Galerkin method for interacting localized waves. Zbl 1040.65083Christou, M. A.; Christov, C. I. 2 2002 A Galerkin spectral method for thermo-convection boundary value problems. Zbl 1080.65093Papanicolaou, N. C.; Christov, C. I. 1 2002 An energy-consistent dispersive shallow-water model. Zbl 1074.76510Christov, C. I. 29 2001 Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation. Zbl 0993.76020Christov, C. I.; Homsy, G. M. 8 2001 Implicit vectorial operator splitting for incompressible Navier-Stokes equations in primitive variables. Zbl 1018.76030Christov, C. I.; Marinova, R. S. 8 2001 Fourier-Galerkin method for localized solutions of the sixth-order generalized Boussinesq equation. Zbl 1301.65105Christou, M. A.; Christov, C. I. 1 2001 Resonant thermocapillary and buoyant flows with finite frequency gravity modulation. Zbl 1149.76555Suresh, V. A.; Christov, C. I.; Homsy, G. M. 3 1999 Identification of heat-conduction coefficient via method of variational imbedding. Zbl 1185.65170Christov, C. I.; Marinov, T. 9 1998 Fourier-Galerkin algorithm for 2D localized solutions. Zbl 1079.65551Christov, Christo I. 5 1998 Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting. Zbl 0923.76174Christov, C. I.; Marinova, R. S. 4 1998 Numerical solutions for steady flow past a circular cylinder via the method of variational imbedding. Zbl 1079.76595Christov, Christo I.; Marinova, Rossitza S. 2 1998 A first-order in thickness model for flexural deformations of geometrically nonlinear shells. Zbl 1079.74579Christov, Christo I. 1 1998 Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G. 20 1997 Nonlinear duality between elastic waves and quasi-particles in microstructured solids. Zbl 0907.73016Maugin, Gérard A.; Christov, Christo 4 1997 Method of variational imbedding for the inverse problem of boundary-layer thickness identification. Zbl 0904.76070Christov, Christo I.; Marinov, Tchavdar T. 1 1997 Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024Pontes, J.; Christov, C. I.; Velarde, M. G. 2 1996 Dissipative solitons. Zbl 0885.35108Christov, C. I.; Velarde, M. G. 39 1995 Conservative difference scheme for Boussinesq model of surface waves. Zbl 0890.76048Christov, C. I. 8 1995 An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system. Zbl 0822.65118Christov, C. I.; Maugin, G. A. 4 1995 Splitting scheme for the stream- function formulation of 2D unsteady Navier-Stokes equations. (Un schéma à pas fractionnaires de résolution de l’équation instationnaire de fonction de courant.) Zbl 0821.76047Christov, Christo I.; Ridha, Adil 2 1995 Nonlinear evolution equations for thin liquid films with insoluble surfactants. Zbl 0846.76027De Wit, A.; Gallez, D.; Christov, C. I. 25 1994 Inelastic interaction of Boussinesq solitons. Zbl 0899.76089Christov, C. I.; Velarde, M. G. 21 1994 Splitting scheme for iterative solution of bi-harmonic equation. Application to 2D Navier-Stokes problems. Zbl 0812.76051Christov, C. I.; Ridha, A. 4 1994 On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077Christov, Christo I.; Velarde, Manuel G. 9 1993 Numerical investigation of the laminar boundary layer flow around an impulsively moved circular cylinder. Zbl 0846.76057Christov, C. I.; Tzankov, I. T. 6 1993 On the problem of heat conduction for random dispersions of spheres allowed to overlap. Zbl 0757.35092Markov, Konstantin Z.; Christov, Christo I. 3 1992 Point random functions and large-scale turbulence. (Tochechnye sluchajnye funktsii i krupnomasshtabnaya turbulentnost’.) Zbl 0835.76037Khristov, Kh. I.; Nartov, V. P. 1 1992 Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation. Zbl 0749.35041Bekyarov, K. L.; Christov, C. I. 3 1991 A Fourier-series method for solving soliton problems. Zbl 0707.65090Christov, C. I.; Bekyarov, K. L. 10 1990 Flows with coherent structures: Application of random point functions and stochastic functional series. Zbl 0738.76032Christov, C. I. 2 1990 Secondary streaming for the high-frequency viscous flow in eccentric spherical annuli. Zbl 0642.76046Kovatcheva, N. T.; Christov, C. I.; Zapryanov, Z. D. 1 1988 The method of variational imbedding for parabolic incorrect problems of coefficient identification. Zbl 0624.35080Khristov, Khr. I. 3 1987 Stochastic regime for Kuramoto-Sivashinsky equation. I: Random point approximation. Zbl 0925.60068Khristov, Khristo I. 1 1987 Stochastic regime for Kuramoto-Sivashinsky equation. II: Numerical simulation. Zbl 0925.60069Sharbanov, Blagovest; Khristov, Khristo I. 1 1987 An inviscid model of flow separation around blunt bodies. Zbl 0624.76038Khristov, Kh. I.; Todorov, M. D. 1 1987 The method of variational imbedding for time reversal parabolic incorrect problems. Zbl 0638.35082Khristov, Kh. I. 1 1987 The method of variational imbedding for elliptic incorrect problems. Zbl 0631.35082Khristov, Kh. I. 1 1986 Numerical investigation of the steady viscous flow past a stationary deformable bubble. Zbl 0579.76039Christov, C. I.; Volkov, P. K. 5 1985 Stochastic functional expansion for random media with perfectly disordered constitution. Zbl 0564.60066Christov, C. I.; Markov, K. Z. 2 1985 On the correct posing of the method of transfinite interpolation for solving free-boundary problems of fluid flows. Zbl 0578.76001Christov, C. I.; Volkov, P. K. 1 1985 Stochastic functional expansion in elasticity of heterogeneous solids. Zbl 0592.73002Christov, Christo I.; Markov, Konstantin Z. 1 1985 A complete orthonormal system of functions in \(L^ 2(-\infty,\infty)\) space. Zbl 0562.33009Christov, C. I. 67 1982 Orthogonal coordinate meshes with manageable Jacobian. Zbl 0493.65067Christov, C. I. 3 1982 Numerical study of the viscous flow in oscillatory spherical annuli. Zbl 0482.76038Zapryanov, Z.; Christov, C. 1 1981 Oscillatory fully developed viscous flow in a toroidal tube. Zbl 0441.76024Christov, Chr.; Zapryanov, Z. 2 1980 Fully developed laminar flow and heat transfer in curved tubes. Zbl 0428.76031Zapryanov, Z.; Christov, Ch.; Toshev, E. 2 1980 On a canonical distribution of the stochastic processes and its application in turbulence. Zbl 0454.76057Khristov, Kh. 1 1980 On a stationary random process with special properties. Zbl 0417.60047Hristov, Hr. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 774 Authors 40 Christov, Christo Ivanov 18 Jordan, Pedro M. 18 Straughan, Brian 14 Marinov, Tchavdar T. 13 Marinova, Rossitza S. 11 Salupere, Andrus 10 Christov, Ivan C. 10 Dehghan Takht Fooladi, Mehdi 10 Parand, Kourosh 9 Maugin, Gérard A. 9 Velarde, Manuel G. 8 Tamm, Kert 7 Christou, Marios Andreas 7 Engelbrecht, Jüri 7 Guo, Ben-Yu 7 Kolkovska, Natalia T. 7 Shehzad, Sabir Ali 7 Todorov, Michail D. 7 Wang, Tingchun 5 Ciarletta, Michele 5 Gerdzhikov, Vladimir Stefanov 5 Kalliadasis, Serafim 5 Kim, Junseok 5 Peets, Tanel 5 Wang, Zhongqing 5 Zhang, Luming 4 Boyd, John Philip 4 Esfahani, Amin 4 Gaskell, Philip H. 4 Kaltenbacher, Barbara 4 Lee, Hyun Geun 4 Lee, Yeaw Chu 4 Matar, Omar K. 4 Morro, Angelo 4 Papanicolaou, Nectarios C. 4 Reddy, M. Gnaneswara 4 Thompson, Harvey M. 4 Tibullo, Vincenzo 4 Wang, Shubin 3 Abbas, Zaheer 3 Antoine, Xavier 3 Cai, Jiaxiang 3 Chamkha, Ali Jawad 3 Chetverikov, Aleksandr Petrovich 3 Chin-Bing, Stanley A. 3 Dimova, Milena 3 Ebeling, Werner 3 Franchi, Franca 3 Hayat, Tasawar 3 Kumar, K. Ganesh 3 Lazzari, Barbara 3 Li, Dening 3 Li, Yibao 3 Liu, Hailiang 3 Liu, Lin 3 Lv, Wei 3 Nibbi, Roberta 3 Nikolić, Vanja 3 Norton, Guy V. 3 Poochinapan, Kanyuta 3 Ramos, Juan I. 3 Rezaei, Ahmad Reza 3 Su, Xiao 3 Sudharani, M. V. V. N. L. 3 Volkov, Petr K. 3 Warn-Varnas, Alex C. 3 Yin, Peimeng 3 Zhang, Huan 3 Zheng, Liancun 3 Zhou, Jun 2 Alessa, Nazek A. 2 Ali, Alfatih 2 Ali, Bagh 2 Alotaibi, Hammad 2 Al-saedi, Ahmed Eid Salem 2 Baharifard, Fatemeh 2 Biswas, Anjan 2 Cai, Maomao 2 Chen, Fangqi 2 Chen, Yanping 2 Chiriţă, Stan 2 Choi, Yuncherl 2 Christiansen, Peter Leth 2 Craster, Richard V. 2 Csomós, Petra 2 Delkhosh, Mehdi 2 Demekhin, Evgeny A. 2 Denton, Zachary 2 Duran, Angel 2 Dutykh, Denys 2 Eltayeb, Ibrahim A. 2 Escher, Joachim 2 Esquivel-Avila, Jorge Alfredo 2 Faragó, István 2 Feng, Enmin 2 Gaididei, Yuri Borisovich 2 Gangadhar, Kotha 2 Gao, Yitian 2 Gasperini, David 2 Geuzaine, Christophe A. ...and 674 more Authors all top 5 Cited in 142 Serials 26 Wave Motion 23 Mathematics and Computers in Simulation 18 Journal of Computational and Applied Mathematics 16 Physics of Fluids 14 Journal of Fluid Mechanics 13 Communications in Nonlinear Science and Numerical Simulation 12 Applied Mathematics and Computation 10 Journal of Computational Physics 10 Physica A 10 Physica D 10 AMM. Applied Mathematics and Mechanics. (English Edition) 9 Computers & Mathematics with Applications 9 Mechanics Research Communications 9 Applied Mathematical Modelling 7 Computers and Fluids 7 Journal of Engineering Mathematics 7 Mathematical Methods in the Applied Sciences 7 Chaos, Solitons and Fractals 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 International Journal of Applied and Computational Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 International Journal for Numerical Methods in Fluids 6 International Journal of Computer Mathematics 6 European Journal of Mechanics. B. Fluids 6 Evolution Equations and Control Theory 5 Fluid Dynamics 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Physics Letters. A 5 Applied Numerical Mathematics 5 Numerical Methods for Partial Differential Equations 5 Discrete and Continuous Dynamical Systems. Series B 4 Acta Mechanica 4 Computer Physics Communications 4 International Journal of Heat and Mass Transfer 4 Mathematics of Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Acta Applicandae Mathematicae 4 Applied Mathematics Letters 4 Mathematical and Computer Modelling 4 Journal of Scientific Computing 4 Computational and Applied Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Nonlinear Analysis. Real World Applications 3 International Journal of Engineering Science 3 Applied Mathematics and Optimization 3 Journal of Elasticity 3 Advances in Computational Mathematics 3 Discrete and Continuous Dynamical Systems 3 Waves in Random and Complex Media 3 Advances in Mathematical Physics 3 Symmetry 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematische Nachrichten 2 Meccanica 2 Studies in Applied Mathematics 2 European Journal of Applied Mathematics 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Opuscula Mathematica 2 Nonlinear Dynamics 2 Journal of Mathematical Fluid Mechanics 2 Journal of Applied Mathematics 2 Advances in Difference Equations 2 Foundations of Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Arabian Journal for Science and Engineering 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Mathematics 1 International Journal of Modern Physics B 1 Astrophysics and Space Science 1 Journal of the Mechanics and Physics of Solids 1 Physics Letters. B 1 Journal of Geometry and Physics 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Bulletin of the Korean Mathematical Society 1 Constructive Approximation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Complexity 1 Journal of Difference Equations and Applications ...and 42 more Serials all top 5 Cited in 37 Fields 234 Fluid mechanics (76-XX) 220 Partial differential equations (35-XX) 144 Numerical analysis (65-XX) 62 Classical thermodynamics, heat transfer (80-XX) 45 Mechanics of deformable solids (74-XX) 35 Dynamical systems and ergodic theory (37-XX) 24 Ordinary differential equations (34-XX) 24 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 14 Optics, electromagnetic theory (78-XX) 13 Approximations and expansions (41-XX) 12 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Quantum theory (81-XX) 7 Astronomy and astrophysics (85-XX) 5 Integral equations (45-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Citations by Year