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Cherruault, Yves

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Author ID: cherruault.yves Recent zbMATH articles by "Cherruault, Yves"
Published as: Cherruault, Y.; Cherruault, Yves
Documents Indexed: 155 Publications since 1965, including 6 Books
Reviewing Activity: 484 Reviews

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 1,901 times in 763 Documents Cited by Year
Convergence of Adomian’s method. Zbl 0697.65051
Cherruault, Yves
260
1989
Decomposition methods: A new proof of convergence. Zbl 0805.65057
Cherruault, Y.; Adomian, G.
204
1993
Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073
Abbaoui, K.; Cherruault, Y.
176
1994
New ideas for proving convergence of decomposition methods. Zbl 0832.47051
Abbaoui, K.; Cherruault, Y.
141
1995
New results for convergence of Adomian’s method applied to integral equations. Zbl 0756.65083
Cherruault, Y.; Saccomandi, G.; Some, B.
126
1992
Convergence of Adomian’s method applied to nonlinear equations. Zbl 0822.65027
Abbaoui, K.; Cherruault, Y.
91
1994
Practical formulae for the calculus of multivariable Adomian polynomials. Zbl 0830.65010
Abbaoui, K.; Cherruault, Y.; Seng, V.
71
1995
Adomian’s polynomials for nonlinear operators. Zbl 0855.47041
Seng, V.; Abbaoui, K.; Cherruault, Y.
47
1996
New numerical study of Adomian method applied to a diffusion model. Zbl 1011.65073
Nagarhasta, N.; Some, B.; Abbaoui, K.; Cherruault, Y.
46
2002
Characterization and generation of \(\alpha\)-dense curves. Zbl 0893.90177
Mora, G.; Cherruault, Y.
37
1997
Convergence of Adomian’s method and applications to non-linear partial differential equations. Zbl 0801.35007
Mavoungou, Théophile; Cherruault, Yves
35
1992
Convergence of Adomian’s method. Zbl 0728.65056
Cherruault, Y.
35
1990
A new formulation of Adomian method convergenc result. Zbl 0994.65064
Abbaoui, K.; Pujol, M. J.; Cherruault, Y.; Himoun, N.; Grimalt, P.
33
2001
Numerical study of Fisher’s equation by Adomian’s method. Zbl 0799.65099
Mavoungou, T.; Cherruault, Y.
33
1994
The decomposition method applied to the Cauchy problem. Zbl 0937.65074
Abbaoui, K.; Cherruault, Y.
28
1999
New results of convergence of Adomian’s method. Zbl 0938.93019
Himoun, N.; Abbaoui, K.; Cherruault, Y.
28
1999
Convergence of Adomian’s method applied to integral equations. Zbl 0938.93023
Badredine, T.; Abbaoui, K.; Cherruault, Y.
20
1999
Optimization. Local and global methods. Zbl 0928.49001
Cherruault, Yves
19
1999
Numerical study of Lorenz’s equation by the Adomian method. Zbl 0869.65044
Guellal, S.; Grimalt, P.; Cherruault, Y.
19
1997
Models and methods for life sciences. Zbl 0929.92003
Cherruault, Yves
18
1998
Approximation of a several variables function by a one variable function and application to global optimization. Zbl 0797.41029
Ammar, H.; Cherruault, Y.
18
1993
Generation of \(\alpha\)-dense curves and application to global optimization. Zbl 0978.90090
Ziadi, A.; Cherruault, Y.
16
2000
Functional equations generating space-densifying curves. Zbl 0954.39016
Mora, G.; Cherruault, Y.; Ziadi, A.
16
2000
Application of the Adomian method for solving a class of boundary problems. Zbl 1058.65075
Benabidallah, Mohamed; Cherruault, Yves
15
2004
Global optimization: A new variant of the Alienor method. Zbl 0980.90069
Ziadi, A.; Cherruault, Y.; Mora, G.
15
2001
Generation of \(\alpha\)-dense curves in a cube of \(\mathbb{R}^n\). Zbl 0933.65067
Ziadi, A.; Cherruault, Y.
15
1998
A new method for global optimisation (Alienor). Zbl 0701.90083
Cherruault, Y.
15
1990
Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Zbl 1192.65115
Yildirim, Ahmet; Cherruault, Yves
13
2009
Application of the decomposition method to identify the distributed parameters of an elliptical equation. Zbl 0822.65120
Guellal, S.; Cherruault, Y.
13
1995
Global optimization in biology and medicine. Zbl 0808.92001
Cherruault, Y.
13
1994
The theoretic calculation time associated to \(\alpha\)-dense curves. Zbl 0935.65068
Mora, Gaspar; Cherruault, Yves
12
1998
The resolution of nonlinear integral equations of the first kind using the decompositional method of Adomian. Zbl 0932.65142
Cherruault, Yves; Seng, Virginie
12
1997
New results for the Adomian method. Zbl 0965.65087
Khelifa, S.; Cherruault, Y.
11
2000
The decomposition method applied to differential systems. Zbl 0932.65081
Abbaoui, K.; Cherruault, Y.; Ndour, M.
11
1995
An approximation method for the optimization of continuous functions of \(n\) variables by densifying their domains. Zbl 0936.65068
Mora, Gaspar; Cherruault, Yves
10
1999
Global optimization-preserving operators. Zbl 1063.90043
Mora, G.; Cherruault, Y.; Benabidallah, A.
9
2003
A new approach to solve a diffusion-convection problem. Zbl 1015.65053
Inc, M.; Cherruault, Y.
9
2002
Convergence of Adomian’s method applied to algebraic equations. Zbl 0994.65054
Ouedraogo, R. Z.; Cherruault, Y.; Abbaoui, K.
9
2000
A different approach for solving singular two-point boundary value problems. Zbl 1117.65348
Inc, M.; Ergüt, M.; Cherruault, Y.
8
2005
Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson). Zbl 0711.65071
Cherruault, Y.; Choubane, M.; Valleton, J. M.; Vincent, J. C.
8
1990
A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112
Inc, M.; Cherruault, Y.; Abbaoui, K.
7
2004
The existence of \(\alpha\)-dense curves with minimal length in a metric space. Zbl 0978.90091
Ziadi, A.; Cherruault, Y.; Mora, G.
7
2000
Une méthode pour la recherche du minimum global d’une fonctionnelle. Zbl 0525.65047
Cherruault, Yves; Guillez, Arthur
7
1983
A simple method for optimization. Zbl 0503.49020
Cherruault, Y.; Guillez, A.
7
1983
A global optimization method for a large number of variables (variant of Alienor method). Zbl 1130.90401
Konfé, Balira O.; Cherruault, Yves; Benneouala, Titem
6
2005
New results on Adomian method. Zbl 1055.65082
Himoun, N.; Abbaoui, K.; Cherruault, Y.
6
2003
On the minimal length curve that densifies the square. Zbl 0945.65066
Mora, Gaspar; Cherruault, Yves
6
1999
A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021
Adomian, G.; Cherruault, Y.; Abbaoui, K.
6
1996
A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Zbl 1059.65092
Inç, M.; Cherruault, Y.
5
2003
Decomposition method applied to hydrology. Zbl 1094.76552
Guellal, S.; Cherruault, Y.; Pujol, M. J.; Grimalt, P.
5
2000
Global optimization: the Alienor mixed method with Piyavskii-Shubert technique. Zbl 1130.90405
Ziadi, Abdelkader; Guettal, Djaouida; Cherruault, Yves
4
2005
Direct identification of general linear compartmental systems by means of \((n-2)\) compartments measures. Zbl 1092.93003
Hebri, B.; Cherruault, Y.
4
2005
A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358
Inc, M.; Cherruault, Y.
4
2005
Contribution to the identification of linear compartmental systems. Zbl 1067.93015
Hebri, B.; Cherruault, Y.
4
2004
Approximation of the solution for a class of first order p. d. e. by Adomian method. Zbl 1015.65054
Khelifa, S.; Cherruault, Y.
4
2002
On a reducing space-filling transformation: Application to global optimization. Zbl 0935.90039
Cherruault, Yves
4
1997
Alienor-Gabriel global optimization of a function of several variables. Zbl 0752.90068
Lavigne, D.; Cherruault, Y.
4
1991
Biomathématiques. Zbl 0582.92001
Cherruault, Yves
4
1983
Identification of exchange parameters in compartmental models. Zbl 0568.92002
Cherruault, Y.
4
1983
Une méthode directe de minimisation et applications. Zbl 0211.46601
Cherruault, Y.
4
1968
Approximation d’opérateurs linéaires et applications. Zbl 0169.19601
Cherruault, Y.
4
1968
A Taylor expansion approach using Faà di Bruno’s formula for solving nonlinear integral equations of the second and third kind. Zbl 1198.65252
Ben Zitoun, Feyed; Cherruault, Yves
3
2009
A new algorithm for solving nonlinear boundary value problems. Zbl 1206.34022
Ben Zitoun, Feyed; Cherruault, Yves
3
2009
New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis-Menten system by a linear approach. Zbl 1092.93005
Hebri, B.; Cherruault, Y.
3
2005
Alienor method for global optimization with a large number of variables. Zbl 1130.90397
Benneouala, T.; Cherruault, Y.
3
2005
A new reducing transformation for global optimization (with Alienor method). Zbl 1130.90398
Cherruault, Yves
3
2005
A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347
Inc, M.; Cherruault, Y.
3
2005
New methods for applying the Adomian method to partial differential equations with boundary conditions. Zbl 1117.65356
Benneouala, Titem; Cherruault, Yves; Abbaoui, Karim
3
2005
\(\alpha\)-dense curves and global optimization. Zbl 1069.90080
Cherruault, Yves
3
2003
Approximating multiple integrals via \(\alpha\)-dense curves. Zbl 1041.65028
Mora, G.; Cherruault, Y.; Benabidallah, A.; Tourbier, Y.
3
2002
A new method for calculating multiple integrals. Zbl 1002.65031
Cherruault, Yves; Mora, Gaspar; Tourbier, Yves
3
2002
Parameter identification of an HIV model by the combined Adomian/Alienor method. Zbl 1160.93348
Manseur, S.; Messaoudi, N.; Cherruault, Y.
2
2006
Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods. Zbl 1083.92021
Manseur, S.; Attalah, K.; Cherruault, Y.
2
2005
Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research. Zbl 1130.49305
Mampassi, Benjamin; Saley, Bisso; Somé, Blaise; Cherruault, Yves
2
2005
A new “optimization-preserving-operator” applied to global optimization. Zbl 1130.90403
Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem
2
2005
Solving constrained global optimization problems without penalty parameters. Zbl 1130.90402
Konfe, Balira O.; Cherruault, Yves; Some, Blaise
2
2005
A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369
Inc, M.; Cherruault, Y.
2
2005
Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085
Bektas, M.; Inc, M.; Cherruault, Y.
2
2005
Using the Adomian method for solving a class of boundary differential systems. Zbl 1058.65074
Benabidallah, Mohamed; Cherruault, Yves
2
2004
Approximation method error of multiple integrals by simple integrals. Zbl 1072.65030
Benabidallah, A.; Cherruault, Y.; Tourbier, Y.
2
2003
Approximation of multiple integrals by simple integrals. Zbl 0994.65023
Benabidallah, A.; Cherruault, Y.; Tourbier, Y.
2
2001
Alienor and Twone: A comparative study. Zbl 0935.90038
Bendiab, O.; Cherruault, Y.
2
1997
Optimization and resolution algorithm of the human fetal blood circulation model. Zbl 0792.92010
Guettouche, A.; Papapanayotou, C.; Cherruault, Y.; Azancot-Benisty, A.; Challier, J. C.
2
1993
Méthodes pour la recherche de points de selle. Zbl 0269.90041
Cherruault, Y.; Loridan, P.
2
1973
Méthodes pour la recherche de points de selle. (Methods for finding saddle points). Zbl 0228.90056
Cherruault, Yves; Loridan, Pierre
2
1971
A method for solving nonlinear differential equations. Zbl 1325.65181
Ben Zitoun, Feyed; Cherruault, Yves
1
2010
Integer optimization by \(\alpha\)-dense curves. Zbl 1132.93314
Mora, G.; Cherruault, Y.
1
2007
A new universal method for solving all problems of operational research. Zbl 1128.93018
Mazza, J. C.; Cherruault, Y.; Konfé, B.; Benneouala, T.; Mora, G.
1
2007
Identification of a nonlinear polynomial compartmental system of \((\alpha+\beta)\) order by a linearization method. Zbl 1165.65043
Hebri, B.; Cherruault, Y.
1
2006
Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods. Zbl 1218.92048
Manseur, S.; Cherruault, Y.
1
2006
Alienor method applied to operational research. Zbl 1092.90046
Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem
1
2005
Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods. Zbl 1077.92037
Zaidi, Z.; Manseur, S.; Cherruault, Y.; Meulemans, A.
1
2005
Identification of closed Michaelis-Menten system by a linear approach. Zbl 1092.93004
Hebri, B.; Cherruault, Y.
1
2005
Solving a class of linear partial differential equations with Dirichlet-boundary conditions by the Adomian method. Zbl 1058.65133
Benabidallah, Mohamed; Cherruault, Yves
1
2004
Approximation of multiple integrals by length of \(\alpha\)-dense curves. Zbl 1045.65022
Benabidallah, A.; Cherruault, Y.; Mora, G.
1
2002
Methods for identification and control of models. Zbl 1003.68192
Cherruault, Yves
1
2000
A combinatorial study of the growing altitude elementary paths of the plane lattice \(Z^2\). Zbl 0934.05007
Dachraoui, T.; Cherruault, Y.; Reiss, C.
1
1998
Solving frontier problems of physics by decomposition method: A new approach. Zbl 0933.65139
Mavoungou, T.; Cherruault, Y.
1
1998
A mathematical model of the histamine release. Zbl 0792.92009
Guellal, S.; Cherruault, Y.
1
1993
A six-compartment model to study the kinetics of \(^{14}C\)-labelled glucose. Zbl 0723.92010
Cherruault, Y.; Sarin, V. B.
1
1991
A method for solving nonlinear differential equations. Zbl 1325.65181
Ben Zitoun, Feyed; Cherruault, Yves
1
2010
Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Zbl 1192.65115
Yildirim, Ahmet; Cherruault, Yves
13
2009
A Taylor expansion approach using Faà di Bruno’s formula for solving nonlinear integral equations of the second and third kind. Zbl 1198.65252
Ben Zitoun, Feyed; Cherruault, Yves
3
2009
A new algorithm for solving nonlinear boundary value problems. Zbl 1206.34022
Ben Zitoun, Feyed; Cherruault, Yves
3
2009
Integer optimization by \(\alpha\)-dense curves. Zbl 1132.93314
Mora, G.; Cherruault, Y.
1
2007
A new universal method for solving all problems of operational research. Zbl 1128.93018
Mazza, J. C.; Cherruault, Y.; Konfé, B.; Benneouala, T.; Mora, G.
1
2007
Parameter identification of an HIV model by the combined Adomian/Alienor method. Zbl 1160.93348
Manseur, S.; Messaoudi, N.; Cherruault, Y.
2
2006
Identification of a nonlinear polynomial compartmental system of \((\alpha+\beta)\) order by a linearization method. Zbl 1165.65043
Hebri, B.; Cherruault, Y.
1
2006
Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods. Zbl 1218.92048
Manseur, S.; Cherruault, Y.
1
2006
A different approach for solving singular two-point boundary value problems. Zbl 1117.65348
Inc, M.; Ergüt, M.; Cherruault, Y.
8
2005
A global optimization method for a large number of variables (variant of Alienor method). Zbl 1130.90401
Konfé, Balira O.; Cherruault, Yves; Benneouala, Titem
6
2005
Global optimization: the Alienor mixed method with Piyavskii-Shubert technique. Zbl 1130.90405
Ziadi, Abdelkader; Guettal, Djaouida; Cherruault, Yves
4
2005
Direct identification of general linear compartmental systems by means of \((n-2)\) compartments measures. Zbl 1092.93003
Hebri, B.; Cherruault, Y.
4
2005
A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358
Inc, M.; Cherruault, Y.
4
2005
New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis-Menten system by a linear approach. Zbl 1092.93005
Hebri, B.; Cherruault, Y.
3
2005
Alienor method for global optimization with a large number of variables. Zbl 1130.90397
Benneouala, T.; Cherruault, Y.
3
2005
A new reducing transformation for global optimization (with Alienor method). Zbl 1130.90398
Cherruault, Yves
3
2005
A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347
Inc, M.; Cherruault, Y.
3
2005
New methods for applying the Adomian method to partial differential equations with boundary conditions. Zbl 1117.65356
Benneouala, Titem; Cherruault, Yves; Abbaoui, Karim
3
2005
Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods. Zbl 1083.92021
Manseur, S.; Attalah, K.; Cherruault, Y.
2
2005
Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research. Zbl 1130.49305
Mampassi, Benjamin; Saley, Bisso; Somé, Blaise; Cherruault, Yves
2
2005
A new “optimization-preserving-operator” applied to global optimization. Zbl 1130.90403
Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem
2
2005
Solving constrained global optimization problems without penalty parameters. Zbl 1130.90402
Konfe, Balira O.; Cherruault, Yves; Some, Blaise
2
2005
A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369
Inc, M.; Cherruault, Y.
2
2005
Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085
Bektas, M.; Inc, M.; Cherruault, Y.
2
2005
Alienor method applied to operational research. Zbl 1092.90046
Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem
1
2005
Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods. Zbl 1077.92037
Zaidi, Z.; Manseur, S.; Cherruault, Y.; Meulemans, A.
1
2005
Identification of closed Michaelis-Menten system by a linear approach. Zbl 1092.93004
Hebri, B.; Cherruault, Y.
1
2005
Application of the Adomian method for solving a class of boundary problems. Zbl 1058.65075
Benabidallah, Mohamed; Cherruault, Yves
15
2004
A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112
Inc, M.; Cherruault, Y.; Abbaoui, K.
7
2004
Contribution to the identification of linear compartmental systems. Zbl 1067.93015
Hebri, B.; Cherruault, Y.
4
2004
Using the Adomian method for solving a class of boundary differential systems. Zbl 1058.65074
Benabidallah, Mohamed; Cherruault, Yves
2
2004
Solving a class of linear partial differential equations with Dirichlet-boundary conditions by the Adomian method. Zbl 1058.65133
Benabidallah, Mohamed; Cherruault, Yves
1
2004
Global optimization-preserving operators. Zbl 1063.90043
Mora, G.; Cherruault, Y.; Benabidallah, A.
9
2003
New results on Adomian method. Zbl 1055.65082
Himoun, N.; Abbaoui, K.; Cherruault, Y.
6
2003
A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Zbl 1059.65092
Inç, M.; Cherruault, Y.
5
2003
\(\alpha\)-dense curves and global optimization. Zbl 1069.90080
Cherruault, Yves
3
2003
Approximation method error of multiple integrals by simple integrals. Zbl 1072.65030
Benabidallah, A.; Cherruault, Y.; Tourbier, Y.
2
2003
New numerical study of Adomian method applied to a diffusion model. Zbl 1011.65073
Nagarhasta, N.; Some, B.; Abbaoui, K.; Cherruault, Y.
46
2002
A new approach to solve a diffusion-convection problem. Zbl 1015.65053
Inc, M.; Cherruault, Y.
9
2002
Approximation of the solution for a class of first order p. d. e. by Adomian method. Zbl 1015.65054
Khelifa, S.; Cherruault, Y.
4
2002
Approximating multiple integrals via \(\alpha\)-dense curves. Zbl 1041.65028
Mora, G.; Cherruault, Y.; Benabidallah, A.; Tourbier, Y.
3
2002
A new method for calculating multiple integrals. Zbl 1002.65031
Cherruault, Yves; Mora, Gaspar; Tourbier, Yves
3
2002
Approximation of multiple integrals by length of \(\alpha\)-dense curves. Zbl 1045.65022
Benabidallah, A.; Cherruault, Y.; Mora, G.
1
2002
A new formulation of Adomian method convergenc result. Zbl 0994.65064
Abbaoui, K.; Pujol, M. J.; Cherruault, Y.; Himoun, N.; Grimalt, P.
33
2001
Global optimization: A new variant of the Alienor method. Zbl 0980.90069
Ziadi, A.; Cherruault, Y.; Mora, G.
15
2001
Approximation of multiple integrals by simple integrals. Zbl 0994.65023
Benabidallah, A.; Cherruault, Y.; Tourbier, Y.
2
2001
Generation of \(\alpha\)-dense curves and application to global optimization. Zbl 0978.90090
Ziadi, A.; Cherruault, Y.
16
2000
Functional equations generating space-densifying curves. Zbl 0954.39016
Mora, G.; Cherruault, Y.; Ziadi, A.
16
2000
New results for the Adomian method. Zbl 0965.65087
Khelifa, S.; Cherruault, Y.
11
2000
Convergence of Adomian’s method applied to algebraic equations. Zbl 0994.65054
Ouedraogo, R. Z.; Cherruault, Y.; Abbaoui, K.
9
2000
The existence of \(\alpha\)-dense curves with minimal length in a metric space. Zbl 0978.90091
Ziadi, A.; Cherruault, Y.; Mora, G.
7
2000
Decomposition method applied to hydrology. Zbl 1094.76552
Guellal, S.; Cherruault, Y.; Pujol, M. J.; Grimalt, P.
5
2000
Methods for identification and control of models. Zbl 1003.68192
Cherruault, Yves
1
2000
The decomposition method applied to the Cauchy problem. Zbl 0937.65074
Abbaoui, K.; Cherruault, Y.
28
1999
New results of convergence of Adomian’s method. Zbl 0938.93019
Himoun, N.; Abbaoui, K.; Cherruault, Y.
28
1999
Convergence of Adomian’s method applied to integral equations. Zbl 0938.93023
Badredine, T.; Abbaoui, K.; Cherruault, Y.
20
1999
Optimization. Local and global methods. Zbl 0928.49001
Cherruault, Yves
19
1999
An approximation method for the optimization of continuous functions of \(n\) variables by densifying their domains. Zbl 0936.65068
Mora, Gaspar; Cherruault, Yves
10
1999
On the minimal length curve that densifies the square. Zbl 0945.65066
Mora, Gaspar; Cherruault, Yves
6
1999
Models and methods for life sciences. Zbl 0929.92003
Cherruault, Yves
18
1998
Generation of \(\alpha\)-dense curves in a cube of \(\mathbb{R}^n\). Zbl 0933.65067
Ziadi, A.; Cherruault, Y.
15
1998
The theoretic calculation time associated to \(\alpha\)-dense curves. Zbl 0935.65068
Mora, Gaspar; Cherruault, Yves
12
1998
A combinatorial study of the growing altitude elementary paths of the plane lattice \(Z^2\). Zbl 0934.05007
Dachraoui, T.; Cherruault, Y.; Reiss, C.
1
1998
Solving frontier problems of physics by decomposition method: A new approach. Zbl 0933.65139
Mavoungou, T.; Cherruault, Y.
1
1998
Characterization and generation of \(\alpha\)-dense curves. Zbl 0893.90177
Mora, G.; Cherruault, Y.
37
1997
Numerical study of Lorenz’s equation by the Adomian method. Zbl 0869.65044
Guellal, S.; Grimalt, P.; Cherruault, Y.
19
1997
The resolution of nonlinear integral equations of the first kind using the decompositional method of Adomian. Zbl 0932.65142
Cherruault, Yves; Seng, Virginie
12
1997
On a reducing space-filling transformation: Application to global optimization. Zbl 0935.90039
Cherruault, Yves
4
1997
Alienor and Twone: A comparative study. Zbl 0935.90038
Bendiab, O.; Cherruault, Y.
2
1997
Adomian’s polynomials for nonlinear operators. Zbl 0855.47041
Seng, V.; Abbaoui, K.; Cherruault, Y.
47
1996
A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021
Adomian, G.; Cherruault, Y.; Abbaoui, K.
6
1996
New ideas for proving convergence of decomposition methods. Zbl 0832.47051
Abbaoui, K.; Cherruault, Y.
141
1995
Practical formulae for the calculus of multivariable Adomian polynomials. Zbl 0830.65010
Abbaoui, K.; Cherruault, Y.; Seng, V.
71
1995
Application of the decomposition method to identify the distributed parameters of an elliptical equation. Zbl 0822.65120
Guellal, S.; Cherruault, Y.
13
1995
The decomposition method applied to differential systems. Zbl 0932.65081
Abbaoui, K.; Cherruault, Y.; Ndour, M.
11
1995
Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073
Abbaoui, K.; Cherruault, Y.
176
1994
Convergence of Adomian’s method applied to nonlinear equations. Zbl 0822.65027
Abbaoui, K.; Cherruault, Y.
91
1994
Numerical study of Fisher’s equation by Adomian’s method. Zbl 0799.65099
Mavoungou, T.; Cherruault, Y.
33
1994
Global optimization in biology and medicine. Zbl 0808.92001
Cherruault, Y.
13
1994
Decomposition methods: A new proof of convergence. Zbl 0805.65057
Cherruault, Y.; Adomian, G.
204
1993
Approximation of a several variables function by a one variable function and application to global optimization. Zbl 0797.41029
Ammar, H.; Cherruault, Y.
18
1993
Optimization and resolution algorithm of the human fetal blood circulation model. Zbl 0792.92010
Guettouche, A.; Papapanayotou, C.; Cherruault, Y.; Azancot-Benisty, A.; Challier, J. C.
2
1993
A mathematical model of the histamine release. Zbl 0792.92009
Guellal, S.; Cherruault, Y.
1
1993
New results for convergence of Adomian’s method applied to integral equations. Zbl 0756.65083
Cherruault, Y.; Saccomandi, G.; Some, B.
126
1992
Convergence of Adomian’s method and applications to non-linear partial differential equations. Zbl 0801.35007
Mavoungou, Théophile; Cherruault, Yves
35
1992
Alienor-Gabriel global optimization of a function of several variables. Zbl 0752.90068
Lavigne, D.; Cherruault, Y.
4
1991
A six-compartment model to study the kinetics of \(^{14}C\)-labelled glucose. Zbl 0723.92010
Cherruault, Y.; Sarin, V. B.
1
1991
A new approach for thermic exchanges in oilwells drilling. Zbl 0760.35052
Cherruault, Y.; Guillez, A.; Fery, J. J.; Marcassa, F.
1
1991
Convergence of Adomian’s method. Zbl 0728.65056
Cherruault, Y.
35
1990
A new method for global optimisation (Alienor). Zbl 0701.90083
Cherruault, Y.
15
1990
Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson). Zbl 0711.65071
Cherruault, Y.; Choubane, M.; Valleton, J. M.; Vincent, J. C.
8
1990
Modelling of enzyme membrane behaviour: Numerical stability conditions. Zbl 0701.92007
Vincent, Jean-Claude; Valleton, Jean-Marc; Choubane, Mohammed; Cherruault, Yves
1
1990
Convergence of Adomian’s method. Zbl 0697.65051
Cherruault, Yves
260
1989
Une méthode d’optimisation globale: Aliénor. (A method of global optimization: Aliénor). Zbl 0691.90074
Cherruault, Yves
1
1989
Sur la convergence de la méthode d’Adomian. (On the convergence of Adomian’s method). Zbl 0647.90081
Cherruault, Y.
1
1988
Une méthode pour la recherche du minimum global d’une fonctionnelle. Zbl 0525.65047
Cherruault, Yves; Guillez, Arthur
7
1983
A simple method for optimization. Zbl 0503.49020
Cherruault, Y.; Guillez, A.
7
1983
Biomathématiques. Zbl 0582.92001
Cherruault, Yves
4
1983
Identification of exchange parameters in compartmental models. Zbl 0568.92002
Cherruault, Y.
4
1983
...and 7 more Documents
all top 5

Cited by 792 Authors

104 Cherruault, Yves
32 Kaya, Doǧan
30 Wazwaz, Abdul-Majid Abdul-Rahman
22 Adomian, George
22 Momani, Shaher M.
21 Mora, Gaspar
19 Rach, Randolph C.
16 Abbaoui, Karim
16 Duan, Junsheng
16 Inc, Mustafa
15 Babolian, Esmail
15 Dehghan Takht Fooladi, Mehdi
14 Al-Khaled, Kamel M.
14 El-Sayed, Salah M.
12 Abbasbandy, Saeid
12 Hashim, Ishak
12 Singh, Randhir
11 Biazar, Jafar
11 Khuri, Suheil A.
10 Daftardar-Gejji, Varsha
10 Jafari, Hossein
10 Kumar, Jitendra
9 Ziadi, Abdelkader
8 Deeba, Elias Y.
8 Lesnic, Daniel
8 Odibat, Zaid M.
8 Some, Blaise
7 González-Gaxiola, Oswaldo
6 Al-Hayani, Waleed
6 Benabidallah, Abdelkader
6 Benneouala, Titem
6 Bera, Rasajit K.
6 El-Kalla, Ibrahim L.
6 Evans, David John
6 Javadi, Shahnam
6 Konfe, Balira O.
6 Nelakanti, Gnaneshwar
6 Noorani, Mohd Salmi Mohd
6 Ramos, Juan I.
6 Saha Ray, Santanu
6 Shawagfeh, Nabil T.
6 Tatari, Mehdi
6 Yıldırım, Ahmet
5 Bildik, Necdet
5 Casasús, Luis
5 El-Sayed, Ahmed Mohamed Ahmed
5 García López, Carmen María
5 Grimalt, Pedro
5 Guellal, Saïd
5 Khelifa, Salim
5 Maleknejad, Khosrow
5 Manseur, Salah
5 Motsa, Sandile Sydney
5 Paré, Youssouf
5 Pujol, María José
5 Ray, Sumita Saha
4 Adomian, Gerald E.
4 Alonso Quesada, Santiago
4 de la Sen, Manuel
4 Ebaid, Abdelhalim
4 Eltayeb, Hassan
4 Gabet, Lionel
4 Garcia, Gabriela
4 Hadizadeh, Mahmoud
4 Hosseini, Mohammad-Mehdi
4 Jang, Bongsoo
4 Khaliq, Abdul Q. M.
4 Kiliçman, Adem
4 Makarov, Volodymyr Leonidovych
4 Meulemans, Alain
4 Minoungou, Youssouf
4 Tourbier, Yves
4 Vahidi, A. R.
4 Xie, Shishen
4 Ziada, E. A. A.
3 Allan, Fathi M.
3 Arafa, Anas. A. M.
3 Atangana, Abdon
3 Băleanu, Dumitru I.
3 Ben Zitoun, Feyed
3 Benabidallah, Mohamed
3 Bernal-Jaquez, R.
3 Bougoffa, Lazhar
3 Chaolu, Temuer
3 Dang, Chuangyin
3 Datta, Barun Kumar
3 Dragunov, Denys V.
3 García-Olivares, Antonio
3 Gorguis, Alice
3 Guillez, Arthur
3 Hajji, Mohamed Ali
3 Haldar, Kaushik
3 Hebri, Belkhaled
3 Hemeda, A. A.
3 Himoun, N.
3 Ibeas, Asier
3 Inan, Ibrahim E.
3 Jiao, Yongchang
3 Kaya, Dǧan
3 Khader, Mohamed M.
...and 692 more Authors
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Cited in 134 Serials

189 Applied Mathematics and Computation
94 Kybernetes
52 Computers & Mathematics with Applications
39 Mathematical and Computer Modelling
31 International Journal of Computer Mathematics
30 Journal of Computational and Applied Mathematics
24 Communications in Nonlinear Science and Numerical Simulation
16 Chaos, Solitons and Fractals
15 Applied Mathematical Modelling
14 Applied Mathematics Letters
12 International Journal of Applied and Computational Mathematics
11 Mathematical Problems in Engineering
11 Journal of Applied Mathematics and Computing
9 Journal of Mathematical Analysis and Applications
8 Journal of the Egyptian Mathematical Society
7 Numerical Methods for Partial Differential Equations
7 Numerical Algorithms
6 International Journal of Numerical Methods for Heat & Fluid Flow
6 Journal of Mathematical Chemistry
6 Abstract and Applied Analysis
5 Mathematical Methods in the Applied Sciences
5 Mathematics and Computers in Simulation
5 International Journal for Numerical Methods in Biomedical Engineering
4 Journal of Computational Physics
4 Journal of Nonlinear Science and Applications
4 International Journal of Differential Equations
4 Mathematical Sciences
3 International Journal for Numerical Methods in Fluids
3 Physics Letters. A
3 Journal of Vibration and Control
3 Soft Computing
3 Discrete Dynamics in Nature and Society
3 The ANZIAM Journal
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 European Journal of Pure and Applied Mathematics
3 Advances in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Mathematical Education in Science and Technology
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Mathematics of Computation
2 Acta Applicandae Mathematicae
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Computational and Applied Mathematics
2 Nonlinear Dynamics
2 Fractional Calculus & Applied Analysis
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 International Journal of Computational Methods
2 International Journal of Biomathematics
2 Advances in Differential Equations and Control Processes
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Mathematics
2 Journal of Linear and Topological Algebra
2 Nonlinear Analysis. Theory, Methods & Applications
1 Modern Physics Letters B
1 Applicable Analysis
1 Computers and Fluids
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Ukrainian Mathematical Journal
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of Optimization Theory and Applications
1 Journal of Soviet Mathematics
1 Kyungpook Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 RAIRO. Analyse Numérique
1 Ricerche di Matematica
1 Optimal Control Applications & Methods
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Aequationes Mathematicae
1 Mathematical Programming. Series A. Series B
1 SIAM Journal on Optimization
1 Advances in Engineering Software
1 Continuum Mechanics and Thermodynamics
1 Communications in Numerical Methods in Engineering
1 Journal of Mathematical Sciences (New York)
1 Fractals
1 Complexity
1 Taiwanese Journal of Mathematics
1 Chaos
1 Mechanism and Machine Theory
1 Far East Journal of Applied Mathematics
1 Journal of Interdisciplinary Mathematics
1 Regular and Chaotic Dynamics
1 International Journal of Applied Mathematics and Computer Science
1 RAIRO. Operations Research
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Journal of Zhejiang University. Science
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
...and 34 more Serials
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Cited in 43 Fields

516 Numerical analysis (65-XX)
247 Partial differential equations (35-XX)
170 Ordinary differential equations (34-XX)
90 Integral equations (45-XX)
67 Biology and other natural sciences (92-XX)
52 Operations research, mathematical programming (90-XX)
50 Fluid mechanics (76-XX)
48 Real functions (26-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
28 Systems theory; control (93-XX)
22 Operator theory (47-XX)
20 Approximations and expansions (41-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 Computer science (68-XX)
9 Mechanics of deformable solids (74-XX)
9 Geophysics (86-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Special functions (33-XX)
7 Integral transforms, operational calculus (44-XX)
6 Mechanics of particles and systems (70-XX)
6 Optics, electromagnetic theory (78-XX)
5 Combinatorics (05-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
5 Probability theory and stochastic processes (60-XX)
3 Number theory (11-XX)
3 Measure and integration (28-XX)
3 Functional analysis (46-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)

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