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Christov, Christo Ivanov

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Author ID: christov.christo-i Recent zbMATH articles by "Christov, Christo Ivanov"
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
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
638 Co-Co-Authors
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

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 704 times in 464 Documents Cited by Year
On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction. Zbl 1258.80001
Christov, C. I.
74
2009
A complete orthonormal system of functions in \(L^ 2(-\infty,\infty)\) space. Zbl 0562.33009
Christov, C. I.
66
1982
Dissipative solitons. Zbl 0885.35108
Christov, C. I.; Velarde, M. G.
38
1995
On Boussinesq’s paradigm in nonlinear wave propagation. Zbl 1134.74028
Christov, Christo I.; Maugin, Gérard A.; Porubov, Alexey V.
29
2007
An energy-consistent dispersive shallow-water model. Zbl 1074.76510
Christov, C. I.
27
2001
Modeling weakly nonlinear acoustic wave propagation. Zbl 1125.76379
Christov, Ivan; Christov, C. I.; Jordan, P. M.
25
2007
Nonlinear evolution equations for thin liquid films with insoluble surfactants. Zbl 0846.76027
De Wit, A.; Gallez, D.; Christov, C. I.
23
1994
Strong coupling of Schrödinger equations: conservative scheme approach. Zbl 1119.65396
Sonnier, W. J.; Christov, C. I.
22
2005
Inelastic interaction of Boussinesq solitons. Zbl 0899.76089
Christov, C. I.; Velarde, M. G.
20
1994
Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151
Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G.
18
1997
Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional. Zbl 1197.65120
Christov, C. I.; Pontes, J.
15
2002
Physical dynamics of quasi-particles in nonlinear wave equations. Zbl 1217.81052
Christov, Ivan; Christov, C. I.
15
2008
Nonlinear duality between elastic waves and quasi-particles. Zbl 1026.74041
Maugin, G. A.; Christov, C. I.
14
2002
A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves. Zbl 1236.76039
Jordan, P. M.; Christov, C. I.
12
2005
Fourier-Galerkin method for 2D solitons of Boussinesq equation. Zbl 1107.65343
Christou, M. A.; Christov, C. I.
10
2007
A Fourier-series method for solving soliton problems. Zbl 0707.65090
Christov, C. I.; Bekyarov, K. L.
10
1990
Novel numerical approach to solitary-wave solutions identification of Boussinesq and Korteweg-de Vries equations. Zbl 1080.35124
Marinov, Tchavdar T.; Christov, Christo I.; Marinova, Rossitza S.
10
2005
On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077
Christov, Christo I.; Velarde, Manuel G.
9
1993
A fully coupled solver for incompressible Navier-Stokes equations using operator splitting. Zbl 1043.76530
Marinova, R. S.; Christov, C. I.; Marinov, T. T.
9
2003
Identification of heat-conduction coefficient via method of variational imbedding. Zbl 1185.65170
Christov, C. I.; Marinov, T.
9
1998
On the material invariant formulation of Maxwell’s displacement current. Zbl 1112.78003
Christov, Christo I.
8
2006
Implicit vectorial operator splitting for incompressible Navier-Stokes equations in primitive variables. Zbl 1018.76030
Christov, C. I.; Marinova, R. S.
8
2001
Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation. Zbl 0993.76020
Christov, C. I.; Homsy, G. M.
8
2001
Dissipative quasi-particles: the generalized wave equation approach. Zbl 1042.35064
Christov, C. I.
8
2002
Frame indifferent formulation of Maxwell’s elastic-fluid model and the rational continuum mechanics of the electromagnetic field. Zbl 1272.76024
Christov, C. I.
8
2011
Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations. Zbl 1163.65325
Todorov, M. D.; Christov, C. I.
8
2007
Interacting localized waves for the regularized long wave equation via a Galerkin spectral method. Zbl 1073.65102
Christou, M. A.; Christov, C. I.
7
2005
Conservative difference scheme for Boussinesq model of surface waves. Zbl 0890.76048
Christov, C. I.
7
1995
Fourier-Galerkin method for localized solutions of equations with cubic nonlinearity. Zbl 1024.65097
Christou, M. A.; Christov, C. I.
7
2002
Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition. Zbl 1006.65096
Christov, C. I.; Deng, K.
6
2002
Maxwell-Lorentz electrodynamics as a manifestation of the dynamics of a viscoelastic metacontinuum. Zbl 1129.78003
Christov, C. I.
6
2007
Numerical investigation of the laminar boundary layer flow around an impulsively moved circular cylinder. Zbl 0846.76057
Christov, C. I.; Tzankov, I. T.
6
1993
Perturbation solution for the 2D Boussinesq equation. Zbl 1272.76182
Christov, C. I.; Choudhury, J.
6
2011
Memory effects for the heat conductivity of random suspensions of spheres. Zbl 1201.80014
Chowdhury, A.; Christov, C. I.
5
2010
Numerical investigation of the steady viscous flow past a stationary deformable bubble. Zbl 0579.76039
Christov, C. I.; Volkov, P. K.
5
1985
Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE. Zbl 1176.65098
Todorov, M. D.; Christov, C. I.
5
2009
Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails. Zbl 1422.74054
Christov, Christo I.; Marinov, Tchavdar T.; Marinova, Rossitza S.
5
2009
Fourier-Galerkin algorithm for 2D localized solutions. Zbl 1079.65551
Christov, Christo I.
5
1998
Enhancement of transport from drops by steady and modulated electric fields. Zbl 1183.76151
Christov, C. I.; Homsy, G. M.
5
2009
Coefficient identification in elliptic partial differential equation. Zbl 1142.65433
Marinov, Tchavdar T.; Marinova, Rossitza S.; Christov, Christo I.
5
2006
The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot. Zbl 1222.76047
Papanicolaou, N. C.; Christov, C. I.; Jordan, P. M.
5
2011
On the evolution of localized wave packets governed by a dissipative wave equation. Zbl 1231.76264
Christov, C. I.
5
2008
Corrigendum and addendum to: “Modeling weakly nonlinear acoustic wave propagation”. Zbl 1330.76125
Christov, Ivan; Christov, C. I.; Jordan, P. M.
5
2015
Nonlinear duality between elastic waves and quasi-particles in microstructured solids. Zbl 0907.73016
Maugin, Gérard A.; Christov, Christo
4
1997
Splitting scheme for iterative solution of bi-harmonic equation. Application to 2D Navier-Stokes problems. Zbl 0812.76051
Christov, C. I.; Ridha, A.
4
1994
An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system. Zbl 0822.65118
Christov, C. I.; Maugin, G. A.
4
1995
Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting. Zbl 0923.76174
Christov, C. I.; Marinova, R. S.
4
1998
On the numerical simulation of unsteady solutions for the 2D Boussinesq paradigm equation. Zbl 1318.76013
Christov, Christo I.; Kolkovska, Natalia; Vasileva, Daniela
4
2011
Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation. Zbl 0749.35041
Bekyarov, K. L.; Christov, C. I.
3
1991
On the problem of heat conduction for random dispersions of spheres allowed to overlap. Zbl 0757.35092
Markov, Konstantin Z.; Christov, Christo I.
3
1992
The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics. Zbl 1406.74362
Christov, C. I.
3
2009
The method of variational imbedding for parabolic incorrect problems of coefficient identification. Zbl 0624.35080
Khristov, Khr. I.
3
1987
Orthogonal coordinate meshes with manageable Jacobian. Zbl 0493.65067
Christov, C. I.
3
1982
On a higher-gradient generalization of Fourier’s law of heat conduction. Zbl 1179.80019
Christov, C. I.
3
2007
Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation. Zbl 1187.65094
Sonnier, W. Josh; Christov, C. I.
3
2009
On the nonlinear continuum mechanics of space and the notion of luminiferous medium. Zbl 1239.83002
Christov, C. I.
3
2009
Numerical implementation of the asymptotic boundary conditions for steadily propagating 2D solitons of Boussinesq type equations. Zbl 1320.76031
Christov, Christo I.
3
2012
Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations. Zbl 1250.78033
Todorov, M. D.; Christov, C. I.
3
2012
Resonant thermocapillary and buoyant flows with finite frequency gravity modulation. Zbl 1149.76555
Suresh, V. A.; Christov, C. I.; Homsy, G. M.
3
1999
Fourier-Galerkin method for interacting localized waves. Zbl 1040.65083
Christou, M. A.; Christov, C. I.
2
2002
Flows with coherent structures: Application of random point functions and stochastic functional series. Zbl 0738.76032
Christov, C. I.
2
1990
Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024
Pontes, J.; Christov, C. I.; Velarde, M. G.
2
1996
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 0821.76047
Christov, Christo I.; Ridha, Adil
2
1995
Stochastic functional expansion for random media with perfectly disordered constitution. Zbl 0564.60066
Christov, C. I.; Markov, K. Z.
2
1985
Fully developed laminar flow and heat transfer in curved tubes. Zbl 0428.76031
Zapryanov, Z.; Christov, Ch.; Toshev, E.
2
1980
Oscillatory fully developed viscous flow in a toroidal tube. Zbl 0441.76024
Christov, Chr.; Zapryanov, Z.
2
1980
Numerical solutions for steady flow past a circular cylinder via the method of variational imbedding. Zbl 1079.76595
Christov, Christo I.; Marinova, Rossitza S.
2
1998
On mechanical waves and Doppler shifts from moving boundaries. Zbl 1382.35150
Christov, Ivan C.; Christov, Christo I.
2
2017
The coarse-grain description of interacting sine-Gordon solitons with varying widths. Zbl 1187.35204
Christov, Ivan; Christov, C. I.
2
2009
Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system. Zbl 1187.65095
Todorov, M. D.; Christov, C. I.
2
2009
Cumulative nonlinear effects in acoustic wave propagation. Zbl 1184.76847
Christov, Ivan; Christov, C. I.; Jordan, P. M.
2
2007
An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations. Zbl 1235.76091
Christov, C. I.; Tang, X.-H.
2
2007
Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary. Zbl 1156.65075
Christou, M. A.; Sophocleous, C.; Christov, C. I.
2
2008
Point random functions and large-scale turbulence. (Tochechnye sluchajnye funktsii i krupnomasshtabnaya turbulentnost’.) Zbl 0835.76037
Khristov, Kh. I.; Nartov, V. P.
1
1992
Method of variational imbedding for the inverse problem of boundary-layer thickness identification. Zbl 0904.76070
Christov, Christo I.; Marinov, Tchavdar T.
1
1997
Non-linear waves of the steady natural convection in a vertical fluid layer: a numerical approach. Zbl 1129.76051
Tang, X.-H.; Christov, C. I.
1
2007
On the correct posing of the method of transfinite interpolation for solving free-boundary problems of fluid flows. Zbl 0578.76001
Christov, C. I.; Volkov, P. K.
1
1985
Stochastic functional expansion in elasticity of heterogeneous solids. Zbl 0592.73002
Christov, Christo I.; Markov, Konstantin Z.
1
1985
The method of variational imbedding for elliptic incorrect problems. Zbl 0631.35082
Khristov, Kh. I.
1
1986
The method of variational imbedding for time reversal parabolic incorrect problems. Zbl 0638.35082
Khristov, Kh. I.
1
1987
Secondary streaming for the high-frequency viscous flow in eccentric spherical annuli. Zbl 0642.76046
Kovatcheva, N. T.; Christov, C. I.; Zapryanov, Z. D.
1
1988
On a stationary random process with special properties. Zbl 0417.60047
Hristov, Hr.
1
1979
On a canonical distribution of the stochastic processes and its application in turbulence. Zbl 0454.76057
Khristov, Kh.
1
1980
An inviscid model of flow separation around blunt bodies. Zbl 0624.76038
Khristov, Kh. I.; Todorov, M. D.
1
1987
Numerical study of the viscous flow in oscillatory spherical annuli. Zbl 0482.76038
Zapryanov, Z.; Christov, C.
1
1981
A first-order in thickness model for flexural deformations of geometrically nonlinear shells. Zbl 1079.74579
Christov, Christo I.
1
1998
Stochastic regime for Kuramoto-Sivashinsky equation. I: Random point approximation. Zbl 0925.60068
Khristov, Khristo I.
1
1987
Stochastic regime for Kuramoto-Sivashinsky equation. II: Numerical simulation. Zbl 0925.60069
Sharbanov, Blagovest; Khristov, Khristo I.
1
1987
On the beam functions spectral expansions for fourth-order boundary value problems. Zbl 1179.65105
Papanicolaou, N. C.; Christov, C. I.
1
2007
Galerkin technique based on beam functions in application to the parametric instability of thermal convection in a vertical slot. Zbl 1295.76024
Papanicolaou, N. C.; Christov, C. I.; Homsy, G. M.
1
2009
Fourier-Galerkin method for localized solutions of the sixth-order generalized Boussinesq equation. Zbl 1301.65105
Christou, M. A.; Christov, C. I.
1
2001
Numerical implementation of Aristov-Pukhnachev’s formulation for axisymmetric viscous incompressible flows. Zbl 1425.76173
Moshkin, N. P.; Poochinapan, K.; Christov, C. I.
1
2010
Identifying the stationary viscous flows around a circular cylinder at high Reynolds numbers. Zbl 1229.76028
Christov, 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 1417.76014
Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T.
1
2009
An operator splitting scheme for biharmonic equation with accelerated convergence. Zbl 1142.65405
Tang, X. H.; Christov, Ch. I.
1
2006
A Galerkin spectral method for thermo-convection boundary value problems. Zbl 1080.65093
Papanicolaou, N. C.; Christov, C. I.
1
2002
Conservation properties of vectorial operator splitting. Zbl 1064.76077
Marinova, Rossitza S.; Takahashi, Tadayasu; Aiso, Hideaki; Christov, Christo I.; Marinov, Tchavdar T.
1
2003
Investigation of the long-time evolution of localized solutions of a dispersive wave system. Zbl 1439.65096
Christov, C. I.; Todorov, M. D.
1
2013
On mechanical waves and Doppler shifts from moving boundaries. Zbl 1382.35150
Christov, Ivan C.; Christov, Christo I.
2
2017
Corrigendum and addendum to: “Modeling weakly nonlinear acoustic wave propagation”. Zbl 1330.76125
Christov, Ivan; Christov, C. I.; Jordan, P. M.
5
2015
Investigation of the long-time evolution of localized solutions of a dispersive wave system. Zbl 1439.65096
Christov, C. I.; Todorov, M. D.
1
2013
Numerical implementation of the asymptotic boundary conditions for steadily propagating 2D solitons of Boussinesq type equations. Zbl 1320.76031
Christov, Christo I.
3
2012
Collision dynamics of elliptically polarized solitons in coupled nonlinear Schrödinger equations. Zbl 1250.78033
Todorov, M. D.; Christov, C. I.
3
2012
Frame indifferent formulation of Maxwell’s elastic-fluid model and the rational continuum mechanics of the electromagnetic field. Zbl 1272.76024
Christov, C. I.
8
2011
Perturbation solution for the 2D Boussinesq equation. Zbl 1272.76182
Christov, C. I.; Choudhury, J.
6
2011
The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot. Zbl 1222.76047
Papanicolaou, N. C.; Christov, C. I.; Jordan, P. M.
5
2011
On the numerical simulation of unsteady solutions for the 2D Boussinesq paradigm equation. Zbl 1318.76013
Christov, Christo I.; Kolkovska, Natalia; Vasileva, Daniela
4
2011
Memory effects for the heat conductivity of random suspensions of spheres. Zbl 1201.80014
Chowdhury, A.; Christov, C. I.
5
2010
Numerical implementation of Aristov-Pukhnachev’s formulation for axisymmetric viscous incompressible flows. Zbl 1425.76173
Moshkin, N. P.; Poochinapan, K.; Christov, C. I.
1
2010
On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction. Zbl 1258.80001
Christov, C. I.
74
2009
Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE. Zbl 1176.65098
Todorov, M. D.; Christov, C. I.
5
2009
Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails. Zbl 1422.74054
Christov, Christo I.; Marinov, Tchavdar T.; Marinova, Rossitza S.
5
2009
Enhancement of transport from drops by steady and modulated electric fields. Zbl 1183.76151
Christov, C. I.; Homsy, G. M.
5
2009
The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics. Zbl 1406.74362
Christov, C. I.
3
2009
Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation. Zbl 1187.65094
Sonnier, W. Josh; Christov, C. I.
3
2009
On the nonlinear continuum mechanics of space and the notion of luminiferous medium. Zbl 1239.83002
Christov, C. I.
3
2009
The coarse-grain description of interacting sine-Gordon solitons with varying widths. Zbl 1187.35204
Christov, Ivan; Christov, C. I.
2
2009
Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system. Zbl 1187.65095
Todorov, 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 1295.76024
Papanicolaou, 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 1417.76014
Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T.
1
2009
Physical dynamics of quasi-particles in nonlinear wave equations. Zbl 1217.81052
Christov, Ivan; Christov, C. I.
15
2008
On the evolution of localized wave packets governed by a dissipative wave equation. Zbl 1231.76264
Christov, C. I.
5
2008
Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary. Zbl 1156.65075
Christou, M. A.; Sophocleous, C.; Christov, C. I.
2
2008
Identifying the stationary viscous flows around a circular cylinder at high Reynolds numbers. Zbl 1229.76028
Christov, Christo I.; Marinova, Rossitza S.; Marinov, Tchavdar T.
1
2008
On Boussinesq’s paradigm in nonlinear wave propagation. Zbl 1134.74028
Christov, Christo I.; Maugin, Gérard A.; Porubov, Alexey V.
29
2007
Modeling weakly nonlinear acoustic wave propagation. Zbl 1125.76379
Christov, Ivan; Christov, C. I.; Jordan, P. M.
25
2007
Fourier-Galerkin method for 2D solitons of Boussinesq equation. Zbl 1107.65343
Christou, M. A.; Christov, C. I.
10
2007
Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations. Zbl 1163.65325
Todorov, M. D.; Christov, C. I.
8
2007
Maxwell-Lorentz electrodynamics as a manifestation of the dynamics of a viscoelastic metacontinuum. Zbl 1129.78003
Christov, C. I.
6
2007
On a higher-gradient generalization of Fourier’s law of heat conduction. Zbl 1179.80019
Christov, C. I.
3
2007
Cumulative nonlinear effects in acoustic wave propagation. Zbl 1184.76847
Christov, Ivan; Christov, C. I.; Jordan, P. M.
2
2007
An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations. Zbl 1235.76091
Christov, C. I.; Tang, X.-H.
2
2007
Non-linear waves of the steady natural convection in a vertical fluid layer: a numerical approach. Zbl 1129.76051
Tang, X.-H.; Christov, C. I.
1
2007
On the beam functions spectral expansions for fourth-order boundary value problems. Zbl 1179.65105
Papanicolaou, N. C.; Christov, C. I.
1
2007
On the material invariant formulation of Maxwell’s displacement current. Zbl 1112.78003
Christov, Christo I.
8
2006
Coefficient identification in elliptic partial differential equation. Zbl 1142.65433
Marinov, Tchavdar T.; Marinova, Rossitza S.; Christov, Christo I.
5
2006
An operator splitting scheme for biharmonic equation with accelerated convergence. Zbl 1142.65405
Tang, X. H.; Christov, Ch. I.
1
2006
Strong coupling of Schrödinger equations: conservative scheme approach. Zbl 1119.65396
Sonnier, W. J.; Christov, C. I.
22
2005
A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves. Zbl 1236.76039
Jordan, P. M.; Christov, C. I.
12
2005
Novel numerical approach to solitary-wave solutions identification of Boussinesq and Korteweg-de Vries equations. Zbl 1080.35124
Marinov, 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 1073.65102
Christou, M. A.; Christov, C. I.
7
2005
A fully coupled solver for incompressible Navier-Stokes equations using operator splitting. Zbl 1043.76530
Marinova, R. S.; Christov, C. I.; Marinov, T. T.
9
2003
Conservation properties of vectorial operator splitting. Zbl 1064.76077
Marinova, 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 1197.65120
Christov, C. I.; Pontes, J.
15
2002
Nonlinear duality between elastic waves and quasi-particles. Zbl 1026.74041
Maugin, G. A.; Christov, C. I.
14
2002
Dissipative quasi-particles: the generalized wave equation approach. Zbl 1042.35064
Christov, C. I.
8
2002
Fourier-Galerkin method for localized solutions of equations with cubic nonlinearity. Zbl 1024.65097
Christou, M. A.; Christov, C. I.
7
2002
Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition. Zbl 1006.65096
Christov, C. I.; Deng, K.
6
2002
Fourier-Galerkin method for interacting localized waves. Zbl 1040.65083
Christou, M. A.; Christov, C. I.
2
2002
A Galerkin spectral method for thermo-convection boundary value problems. Zbl 1080.65093
Papanicolaou, N. C.; Christov, C. I.
1
2002
An energy-consistent dispersive shallow-water model. Zbl 1074.76510
Christov, C. I.
27
2001
Implicit vectorial operator splitting for incompressible Navier-Stokes equations in primitive variables. Zbl 1018.76030
Christov, C. I.; Marinova, R. S.
8
2001
Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation. Zbl 0993.76020
Christov, C. I.; Homsy, G. M.
8
2001
Fourier-Galerkin method for localized solutions of the sixth-order generalized Boussinesq equation. Zbl 1301.65105
Christou, M. A.; Christov, C. I.
1
2001
Resonant thermocapillary and buoyant flows with finite frequency gravity modulation. Zbl 1149.76555
Suresh, V. A.; Christov, C. I.; Homsy, G. M.
3
1999
Identification of heat-conduction coefficient via method of variational imbedding. Zbl 1185.65170
Christov, C. I.; Marinov, T.
9
1998
Fourier-Galerkin algorithm for 2D localized solutions. Zbl 1079.65551
Christov, Christo I.
5
1998
Implicit scheme for Navier-Stokes equations in primitive variables via vectorial operator splitting. Zbl 0923.76174
Christov, C. I.; Marinova, R. S.
4
1998
Numerical solutions for steady flow past a circular cylinder via the method of variational imbedding. Zbl 1079.76595
Christov, Christo I.; Marinova, Rossitza S.
2
1998
A first-order in thickness model for flexural deformations of geometrically nonlinear shells. Zbl 1079.74579
Christov, Christo I.
1
1998
Implicit time splitting for fourth-order parabolic equations. Zbl 0923.76151
Christov, C. I.; Pontes, J.; Walgraef, D.; Velarde, M. G.
18
1997
Nonlinear duality between elastic waves and quasi-particles in microstructured solids. Zbl 0907.73016
Maugin, Gérard A.; Christov, Christo
4
1997
Method of variational imbedding for the inverse problem of boundary-layer thickness identification. Zbl 0904.76070
Christov, Christo I.; Marinov, Tchavdar T.
1
1997
Numerical study of patterns and their evolution in finite geometries. Zbl 0884.76024
Pontes, J.; Christov, C. I.; Velarde, M. G.
2
1996
Dissipative solitons. Zbl 0885.35108
Christov, C. I.; Velarde, M. G.
38
1995
Conservative difference scheme for Boussinesq model of surface waves. Zbl 0890.76048
Christov, C. I.
7
1995
An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system. Zbl 0822.65118
Christov, 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 0821.76047
Christov, Christo I.; Ridha, Adil
2
1995
Nonlinear evolution equations for thin liquid films with insoluble surfactants. Zbl 0846.76027
De Wit, A.; Gallez, D.; Christov, C. I.
23
1994
Inelastic interaction of Boussinesq solitons. Zbl 0899.76089
Christov, C. I.; Velarde, M. G.
20
1994
Splitting scheme for iterative solution of bi-harmonic equation. Application to 2D Navier-Stokes problems. Zbl 0812.76051
Christov, C. I.; Ridha, A.
4
1994
On localization solutions of an equation governing Benard–Marangoni convection. Zbl 0785.76077
Christov, Christo I.; Velarde, Manuel G.
9
1993
Numerical investigation of the laminar boundary layer flow around an impulsively moved circular cylinder. Zbl 0846.76057
Christov, C. I.; Tzankov, I. T.
6
1993
On the problem of heat conduction for random dispersions of spheres allowed to overlap. Zbl 0757.35092
Markov, Konstantin Z.; Christov, Christo I.
3
1992
Point random functions and large-scale turbulence. (Tochechnye sluchajnye funktsii i krupnomasshtabnaya turbulentnost’.) Zbl 0835.76037
Khristov, Kh. I.; Nartov, V. P.
1
1992
Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation. Zbl 0749.35041
Bekyarov, K. L.; Christov, C. I.
3
1991
A Fourier-series method for solving soliton problems. Zbl 0707.65090
Christov, C. I.; Bekyarov, K. L.
10
1990
Flows with coherent structures: Application of random point functions and stochastic functional series. Zbl 0738.76032
Christov, C. I.
2
1990
Secondary streaming for the high-frequency viscous flow in eccentric spherical annuli. Zbl 0642.76046
Kovatcheva, N. T.; Christov, C. I.; Zapryanov, Z. D.
1
1988
The method of variational imbedding for parabolic incorrect problems of coefficient identification. Zbl 0624.35080
Khristov, Khr. I.
3
1987
The method of variational imbedding for time reversal parabolic incorrect problems. Zbl 0638.35082
Khristov, Kh. I.
1
1987
An inviscid model of flow separation around blunt bodies. Zbl 0624.76038
Khristov, Kh. I.; Todorov, M. D.
1
1987
Stochastic regime for Kuramoto-Sivashinsky equation. I: Random point approximation. Zbl 0925.60068
Khristov, Khristo I.
1
1987
Stochastic regime for Kuramoto-Sivashinsky equation. II: Numerical simulation. Zbl 0925.60069
Sharbanov, Blagovest; Khristov, Khristo I.
1
1987
The method of variational imbedding for elliptic incorrect problems. Zbl 0631.35082
Khristov, Kh. I.
1
1986
Numerical investigation of the steady viscous flow past a stationary deformable bubble. Zbl 0579.76039
Christov, C. I.; Volkov, P. K.
5
1985
Stochastic functional expansion for random media with perfectly disordered constitution. Zbl 0564.60066
Christov, 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 0578.76001
Christov, C. I.; Volkov, P. K.
1
1985
Stochastic functional expansion in elasticity of heterogeneous solids. Zbl 0592.73002
Christov, Christo I.; Markov, Konstantin Z.
1
1985
A complete orthonormal system of functions in \(L^ 2(-\infty,\infty)\) space. Zbl 0562.33009
Christov, C. I.
66
1982
Orthogonal coordinate meshes with manageable Jacobian. Zbl 0493.65067
Christov, C. I.
3
1982
Numerical study of the viscous flow in oscillatory spherical annuli. Zbl 0482.76038
Zapryanov, Z.; Christov, C.
1
1981
Fully developed laminar flow and heat transfer in curved tubes. Zbl 0428.76031
Zapryanov, Z.; Christov, Ch.; Toshev, E.
2
1980
Oscillatory fully developed viscous flow in a toroidal tube. Zbl 0441.76024
Christov, Chr.; Zapryanov, Z.
2
1980
On a canonical distribution of the stochastic processes and its application in turbulence. Zbl 0454.76057
Khristov, Kh.
1
1980
On a stationary random process with special properties. Zbl 0417.60047
Hristov, Hr.
1
1979
all top 5

Cited by 711 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 Parand, Kourosh
9 Dehghan Takht Fooladi, Mehdi
9 Maugin, Gérard A.
8 Tamm, Kert
8 Velarde, Manuel G.
7 Christou, Marios Andreas
7 Engelbrecht, Jüri
7 Guo, Ben-Yu
7 Kolkovska, Natalia T.
7 Todorov, Michail D.
7 Wang, Tingchun
6 Shehzad, Sabir Ali
5 Ciarletta, Michele
5 Gerdzhikov, Vladimir Stefanov
5 Kalliadasis, Serafim
5 Peets, Tanel
5 Wang, Zhongqing
5 Zhang, Luming
4 Boyd, John Philip
4 Esfahani, Amin
4 Gaskell, Philip H.
4 Kaltenbacher, Barbara
4 Kim, Junseok
4 Lee, Hyun Geun
4 Lee, Yeaw Chu
4 Matar, Omar K.
4 Morro, Angelo
4 Papanicolaou, Nectarios C.
4 Thompson, Harvey M.
4 Tibullo, Vincenzo
4 Wang, Shubin
3 Abbas, Zaheer
3 Antoine, Xavier
3 Cai, Jiaxiang
3 Chin-Bing, Stanley A.
3 Dimova, Milena
3 Ebeling, Werner
3 Franchi, Franca
3 Hayat, Tasawar
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 Volkov, Petr K.
3 Warn-Varnas, Alex C.
3 Yin, Peimeng
3 Zhang, Huan
3 Zheng, Liancun
3 Zhou, Jun
2 Alessa, Nazek
2 Ali, Alfatih
2 Ali, Bagh
2 Al-saedi, Ahmed Eid Salem
2 Baharifard, Fatemeh
2 Biswas, Anjan
2 Cai, Maomao
2 Chen, Fangqi
2 Chen, Yanping
2 Chetverikov, Aleksandr Petrovich
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.
2 Ghaderi, S. M.
2 Giorgi, Claudio
2 Gurevich, Svetlana V.
2 Ha, Taeyoung
2 Homsy, George M.
...and 611 more Authors
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Cited in 140 Serials

26 Wave Motion
23 Mathematics and Computers in Simulation
17 Journal of Computational and Applied Mathematics
16 Physics of Fluids
14 Journal of Fluid Mechanics
12 Applied Mathematics and Computation
11 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Computational Physics
9 Mechanics Research Communications
9 Physica D
9 Applied Mathematical Modelling
9 AMM. Applied Mathematics and Mechanics. (English Edition)
7 Computers and Fluids
7 Computers & Mathematics with Applications
7 Mathematical Methods in the Applied Sciences
7 Chaos, Solitons and Fractals
6 Computer Methods in Applied Mechanics and Engineering
6 International Journal for Numerical Methods in Fluids
6 Journal of Engineering Mathematics
6 International Journal of Computer Mathematics
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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 Numerical Methods for Partial Differential Equations
5 European Journal of Mechanics. B. Fluids
5 Discrete and Continuous Dynamical Systems. Series B
5 International Journal of Applied and Computational Mathematics
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 Numerical Mathematics
4 Applied Mathematics Letters
4 Mathematical and Computer Modelling
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 Physica A
3 Applied Mathematics and Optimization
3 Journal of Scientific Computing
3 Journal of Elasticity
3 Advances in Computational Mathematics
3 Discrete and Continuous Dynamical Systems
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 Advances in Mathematical Physics
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
1 The Journal of Fourier Analysis and Applications
...and 40 more Serials
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Cited in 37 Fields

221 Fluid mechanics (76-XX)
207 Partial differential equations (35-XX)
135 Numerical analysis (65-XX)
56 Classical thermodynamics, heat transfer (80-XX)
42 Mechanics of deformable solids (74-XX)
31 Dynamical systems and ergodic theory (37-XX)
25 Ordinary differential equations (34-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Biology and other natural sciences (92-XX)
13 Optics, electromagnetic theory (78-XX)
12 Special functions (33-XX)
12 Approximations and expansions (41-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 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)

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