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Chen-Charpentier, Benito Miguel

Author ID: chen-charpentier.benito-m Recent zbMATH articles by "Chen-Charpentier, Benito Miguel"
Published as: Chen-Charpentier, Benito M.; Chen, B.; Chen-Charpentier, Benito; Chen, Benito; Chen, Benito M.; Chen-Charpentier, B.; Chen-Charpentier, B. M.; Chen Charpentier, Benito; Chen-Charpentier, B.-M.
Homepage: https://www.uta.edu/academics/faculty/profile?username=bmchen
External Links: MGP · dblp
Documents Indexed: 86 Publications since 1979, including 1 Additional arXiv Preprint
Co-Authors: 62 Co-Authors with 80 Joint Publications
894 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 724 times in 536 Documents Cited by Year
Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023
Chen, B.; Saffman, P. G.
72
1980
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
63
1979
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
49
1980
A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1). Zbl 1300.92099
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M.
49
2014
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Zbl 1519.92235
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
31
2016
An unconditionally positivity preserving scheme for advection-diffusion reaction equations. Zbl 1286.65096
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
28
2013
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
24
2010
Modeling plant virus propagation with delays. Zbl 1348.92153
Jackson, Mark; Chen-Charpentier, Benito M.
22
2017
Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models. Zbl 1205.65015
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M.
21
2010
Epidemic models with random coefficients. Zbl 1205.60127
Chen-Charpentier, Benito M.; Stanescu, Dan
19
2010
Random coefficient differential equation models for bacterial growth. Zbl 1185.34075
Stanescu, Dan; Chen-Charpentier, Benito M.
15
2009
Combined nonstandard numerical methods for ODEs with polynomial right-hand sides. Zbl 1105.65084
Chen-Charpentier, Benito M.; Dimitrov, Dobromir T.; Kojouharov, Hristo V.
14
2006
A random differential transform method: theory and applications. Zbl 1251.65005
Villafuerte, L.; Chen-Charpentier, B. M.
13
2012
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
13
2014
Uncertainty quantification in simulations of epidemics using polynomial chaos. Zbl 1401.92203
Santonja, F.; Chen-Charpentier, B.
12
2012
Two-dimensional modeling of microscale transport and biotransformation in porous media. Zbl 0792.76078
Chen, B.; Cunningham, A.; Ewing, R.; Peralta, R.; Visser, E.
12
1994
A model of biological control of plant virus propagation with delays. Zbl 1379.92059
Jackson, Mark; Chen-Charpentier, Benito M.
12
2018
A mathematical model for the effect of obesity on cancer growth and on the immune system response. Zbl 1459.92042
Ku-Carrillo, Roberto A.; Delgadillo, Sandra E.; Chen-Charpentier, B. M.
12
2016
Three-dimensional stability and bifurcation of capillary and gravity waves on deep water. Zbl 0564.76030
Chen, B.; Saffman, P. G.
11
1985
Nonstandard methods for advection-diffusion-reaction equations. Zbl 1003.65096
Kojouharov, Hristo V.; Chen, Benito M.
11
2000
Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems. Zbl 1001.65073
Chen, B.; Garcia Bolós, R.; Jódar, L.
10
2001
Discretizations of nonlinear differential equations using explicit finite order methods. Zbl 0940.65074
Chen, Benito; Solis, Francisco
10
1998
Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling. Zbl 1371.92044
Jerez, S.; Chen, B.
10
2015
Nonstandard discrete approximations preserving stability properties of continuous mathematical models. Zbl 1112.65070
Solis, F. J.; Chen-Charpentier, B.
9
2004
Random coefficient differential models of growth of anaerobic photosynthetic bacteria. Zbl 1173.60333
Stanescu, Dan; Chen-Charpentier, Benito; Jensen, Brandi J.; Colberg, Patricia J. S.
8
2009
Reliable finite difference schemes with applications in mathematical ecology. Zbl 1085.65068
Dimitrov, Dobromir T.; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
8
2005
Non-standard numerical methods applied to subsurface biobarrier formation models in porous media. Zbl 1323.92122
Chen, Benito M.; Kojouharov, Hristo V.
8
1999
Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019
Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi
8
2016
Analytic and numerical solutions of a Riccati differential equation with random coefficients. Zbl 1255.65023
Licea, J. A.; Villafuerte, L.; Chen-Charpentier, B. M.
8
2013
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. Zbl 1185.37177
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
7
2009
The truncation error of the two-variable Chebyshev series expansions. Zbl 1064.65085
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
7
2003
Parameter estimation using polynomial chaos and maximum likelihood. Zbl 1291.62063
Chen-Charpentier, Benito; Stanescu, Dan
7
2014
Effects of the obesity on optimal control schedules of chemotherapy on a cancerous tumor. Zbl 1348.92083
Ku-Carrillo, Roberto A.; Delgadillo-Aleman, Sandra E.; Chen-Charpentier, Benito M.
7
2017
Direct and indirect optimal control applied to plant virus propagation with seasonality and delays. Zbl 1444.92107
Chen-Charpentier, Benito M.; Jackson, Mark
7
2020
Modeling plant virus propagation with seasonality. Zbl 1400.92497
Jackson, Mark; Chen-Charpentier, Benito M.
7
2019
Numerical simulation of multi-species biofilms in porous media for different kinetics. Zbl 1156.92328
Chen-Charpentier, Benito M.; Dimitrov, Dobromir T.; Kojouharov, Hristo V.
6
2009
Mathematical modeling of bioremediation of trichloroethylene in aquifers. Zbl 1155.92351
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
6
2008
Positive numerical solution for a nonarbitrage liquidity model using nonstandard finite difference schemes. Zbl 1279.91184
González-Parra, Gilberto; Arenasm, Abraham J.; Chen-Charpentier, Benito M.
6
2014
Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process. Zbl 1393.92008
Jerez, S.; Díaz-Infante, S.; Chen, B.
6
2018
Nonstandard methods for the convective transport equation with nonlinear reactions. Zbl 0961.65076
Kojouharov, Hristo V.; Chen, Benito M.
5
1998
Numerical simulation of biofilm growth in porous media. Zbl 0977.76556
Chen-Charpentier, Benito
5
1999
Chebyshev polynomial approximations for nonlinear differential initial value problems. Zbl 1224.65170
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
5
2005
A classification of slow convergence near parametric periodic points of discrete dynamical systems. Zbl 1342.37031
Solis, Francisco J.; Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
5
2016
Some recommendations for applying gPC (generalized polynomial chaos) to modeling: an analysis through the Airy random differential equation. Zbl 1411.60084
Chen-Charpentier, Benito M.; Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.
5
2013
Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 07313333
Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J.
5
2015
Biofilm growth on medical implants with randomness. Zbl 1235.60082
Chen-Charpentier, Benito M.; Stanescu, Dan
4
2011
Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems. Zbl 1146.76625
Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
4
2004
A mathematical model of bone remodeling with delays. Zbl 1320.92051
Chen-Charpentier, Benito M.; Diakite, Ibrahim
4
2016
Constructing accurate polynomial approximations for nonlinear differential initial value problems. Zbl 1193.65111
Chen, B.; Company, R.; Jódar, L.; Roselló, M. D.
4
2007
Nonstandard methods for the convective-dispersive transport equation with nonlinear reactions. Zbl 0941.65086
Kojouharov, Hristo V.; Chen, Benito M.
3
1999
Numerical simulation of dual-species biofilms in porous media. Zbl 1030.92027
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
3
2003
Chaos in the one-dimensional wave equation. Zbl 1068.35062
Solis, Francisco J.; Jódar, Lucas; Chen, Benito
3
2005
Virus propagation with randomness. Zbl 1305.92065
Chen-Charpentier, Benito M.; Stanescu, Dan
3
2013
Combining polynomial chaos expansions and the random variable transformation technique to approximate the density function of stochastic problems, including some epidemiological models. Zbl 1429.92125
Calatayud Gregori, Julia; Chen-Charpentier, Benito M.; Cortés López, Juan Carlos; Jornet Sanz, Marc
3
2019
Optimal control of plant virus propagation. Zbl 1453.92360
Chen-Charpentier, Benito; Jackson, Mark
2
2020
Discrete and continuous approaches to modeling cell movement in the presence of a foreign stimulus. Zbl 1252.92013
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
2
2012
Multidimensional discrete dynamical systems with slow behavior. Zbl 1480.37035
Solis, Francisco J.; Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
2
2021
A mathematical model of tree harvesting in age-structured forests subject to beetle infestations. Zbl 1401.92213
Leite, M. C. A.; Chen-Charpentier, B.; Agusto, F. B.
2
2018
Layered solutions to a bistable reaction-diffusion equation. Zbl 0817.34033
Chen, Benito; Flores, Gilberto; Shih, Shagi-Di
1
1995
Random coefficient differential equation models for Monod kinetics. Zbl 1186.60063
Stanescu, Dan; Chen-Charpentier, Benito
1
2009
A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093
Wo, Shaochang; Chen, Benito M.; Wang, Junping
1
2000
Modeling of flow and transport at the microscale. Zbl 1009.76056
Li, Yaqing; Chen, Benito
1
2002
Simulation of thick biofilm growth at the microscale. Zbl 1113.76462
Chen, Benito; Li, Yaqing
1
2002
Upscaling from discrete to continuous mathematical models of two interacting populations. Zbl 1346.92060
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
1
2013
Do the generalized polynomial chaos and Frobenius methods retain the statistical moments of random differential equations? Zbl 1266.60102
Chen-Charpentier, Benito M.; Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.
1
2013
Multidimensional discrete dynamical systems with slow behavior. Zbl 1480.37035
Solis, Francisco J.; Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
2
2021
Direct and indirect optimal control applied to plant virus propagation with seasonality and delays. Zbl 1444.92107
Chen-Charpentier, Benito M.; Jackson, Mark
7
2020
Optimal control of plant virus propagation. Zbl 1453.92360
Chen-Charpentier, Benito; Jackson, Mark
2
2020
Modeling plant virus propagation with seasonality. Zbl 1400.92497
Jackson, Mark; Chen-Charpentier, Benito M.
7
2019
Combining polynomial chaos expansions and the random variable transformation technique to approximate the density function of stochastic problems, including some epidemiological models. Zbl 1429.92125
Calatayud Gregori, Julia; Chen-Charpentier, Benito M.; Cortés López, Juan Carlos; Jornet Sanz, Marc
3
2019
A model of biological control of plant virus propagation with delays. Zbl 1379.92059
Jackson, Mark; Chen-Charpentier, Benito M.
12
2018
Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process. Zbl 1393.92008
Jerez, S.; Díaz-Infante, S.; Chen, B.
6
2018
A mathematical model of tree harvesting in age-structured forests subject to beetle infestations. Zbl 1401.92213
Leite, M. C. A.; Chen-Charpentier, B.; Agusto, F. B.
2
2018
Modeling plant virus propagation with delays. Zbl 1348.92153
Jackson, Mark; Chen-Charpentier, Benito M.
22
2017
Effects of the obesity on optimal control schedules of chemotherapy on a cancerous tumor. Zbl 1348.92083
Ku-Carrillo, Roberto A.; Delgadillo-Aleman, Sandra E.; Chen-Charpentier, Benito M.
7
2017
Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order. Zbl 1519.92235
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
31
2016
A mathematical model for the effect of obesity on cancer growth and on the immune system response. Zbl 1459.92042
Ku-Carrillo, Roberto A.; Delgadillo, Sandra E.; Chen-Charpentier, B. M.
12
2016
Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019
Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi
8
2016
A classification of slow convergence near parametric periodic points of discrete dynamical systems. Zbl 1342.37031
Solis, Francisco J.; Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
5
2016
A mathematical model of bone remodeling with delays. Zbl 1320.92051
Chen-Charpentier, Benito M.; Diakite, Ibrahim
4
2016
Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling. Zbl 1371.92044
Jerez, S.; Chen, B.
10
2015
Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models: a computational approach. Zbl 07313333
Chen-Charpentier, B.-M.; Cortés, J.-C.; Licea, J.-A.; Romero, J.-V.; Roselló, M.-D.; Santonja, Francisco-J.; Villanueva, Rafael-J.
5
2015
A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1). Zbl 1300.92099
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M.
49
2014
Polynomial chaos for random fractional order differential equations. Zbl 1354.34017
González-Parra, Gilberto; Chen-Charpentier, Benito; Arenas, Abraham J.
13
2014
Parameter estimation using polynomial chaos and maximum likelihood. Zbl 1291.62063
Chen-Charpentier, Benito; Stanescu, Dan
7
2014
Positive numerical solution for a nonarbitrage liquidity model using nonstandard finite difference schemes. Zbl 1279.91184
González-Parra, Gilberto; Arenasm, Abraham J.; Chen-Charpentier, Benito M.
6
2014
An unconditionally positivity preserving scheme for advection-diffusion reaction equations. Zbl 1286.65096
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
28
2013
Analytic and numerical solutions of a Riccati differential equation with random coefficients. Zbl 1255.65023
Licea, J. A.; Villafuerte, L.; Chen-Charpentier, B. M.
8
2013
Some recommendations for applying gPC (generalized polynomial chaos) to modeling: an analysis through the Airy random differential equation. Zbl 1411.60084
Chen-Charpentier, Benito M.; Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.
5
2013
Virus propagation with randomness. Zbl 1305.92065
Chen-Charpentier, Benito M.; Stanescu, Dan
3
2013
Upscaling from discrete to continuous mathematical models of two interacting populations. Zbl 1346.92060
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
1
2013
Do the generalized polynomial chaos and Frobenius methods retain the statistical moments of random differential equations? Zbl 1266.60102
Chen-Charpentier, Benito M.; Cortés, J.-C.; Romero, J.-V.; Roselló, M.-D.
1
2013
A random differential transform method: theory and applications. Zbl 1251.65005
Villafuerte, L.; Chen-Charpentier, B. M.
13
2012
Uncertainty quantification in simulations of epidemics using polynomial chaos. Zbl 1401.92203
Santonja, F.; Chen-Charpentier, B.
12
2012
Discrete and continuous approaches to modeling cell movement in the presence of a foreign stimulus. Zbl 1252.92013
Prieto-Langarica, Alicia; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
2
2012
Biofilm growth on medical implants with randomness. Zbl 1235.60082
Chen-Charpentier, Benito M.; Stanescu, Dan
4
2011
A nonstandard numerical scheme of predictor-corrector type for epidemic models. Zbl 1198.65116
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
24
2010
Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models. Zbl 1205.65015
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M.
21
2010
Epidemic models with random coefficients. Zbl 1205.60127
Chen-Charpentier, Benito M.; Stanescu, Dan
19
2010
Random coefficient differential equation models for bacterial growth. Zbl 1185.34075
Stanescu, Dan; Chen-Charpentier, Benito M.
15
2009
Random coefficient differential models of growth of anaerobic photosynthetic bacteria. Zbl 1173.60333
Stanescu, Dan; Chen-Charpentier, Benito; Jensen, Brandi J.; Colberg, Patricia J. S.
8
2009
Dynamical analysis of the transmission of seasonal diseases using the differential transformation method. Zbl 1185.37177
Arenas, Abraham J.; González-Parra, Gilberto; Chen-Charpentier, Benito M.
7
2009
Numerical simulation of multi-species biofilms in porous media for different kinetics. Zbl 1156.92328
Chen-Charpentier, Benito M.; Dimitrov, Dobromir T.; Kojouharov, Hristo V.
6
2009
Random coefficient differential equation models for Monod kinetics. Zbl 1186.60063
Stanescu, Dan; Chen-Charpentier, Benito
1
2009
Mathematical modeling of bioremediation of trichloroethylene in aquifers. Zbl 1155.92351
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
6
2008
Constructing accurate polynomial approximations for nonlinear differential initial value problems. Zbl 1193.65111
Chen, B.; Company, R.; Jódar, L.; Roselló, M. D.
4
2007
Combined nonstandard numerical methods for ODEs with polynomial right-hand sides. Zbl 1105.65084
Chen-Charpentier, Benito M.; Dimitrov, Dobromir T.; Kojouharov, Hristo V.
14
2006
Reliable finite difference schemes with applications in mathematical ecology. Zbl 1085.65068
Dimitrov, Dobromir T.; Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
8
2005
Chebyshev polynomial approximations for nonlinear differential initial value problems. Zbl 1224.65170
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
5
2005
Chaos in the one-dimensional wave equation. Zbl 1068.35062
Solis, Francisco J.; Jódar, Lucas; Chen, Benito
3
2005
Nonstandard discrete approximations preserving stability properties of continuous mathematical models. Zbl 1112.65070
Solis, F. J.; Chen-Charpentier, B.
9
2004
Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems. Zbl 1146.76625
Kojouharov, Hristo V.; Chen-Charpentier, Benito M.
4
2004
The truncation error of the two-variable Chebyshev series expansions. Zbl 1064.65085
Chen, B.; García-Bolós, R.; Jódar, L.; Roselló, M. D.
7
2003
Numerical simulation of dual-species biofilms in porous media. Zbl 1030.92027
Chen-Charpentier, Benito M.; Kojouharov, Hristo V.
3
2003
Modeling of flow and transport at the microscale. Zbl 1009.76056
Li, Yaqing; Chen, Benito
1
2002
Simulation of thick biofilm growth at the microscale. Zbl 1113.76462
Chen, Benito; Li, Yaqing
1
2002
Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems. Zbl 1001.65073
Chen, B.; Garcia Bolós, R.; Jódar, L.
10
2001
Nonstandard methods for advection-diffusion-reaction equations. Zbl 1003.65096
Kojouharov, Hristo V.; Chen, Benito M.
11
2000
A high-order Godunov method for one-dimensional convection-diffusion-reaction problems. Zbl 0967.65093
Wo, Shaochang; Chen, Benito M.; Wang, Junping
1
2000
Non-standard numerical methods applied to subsurface biobarrier formation models in porous media. Zbl 1323.92122
Chen, Benito M.; Kojouharov, Hristo V.
8
1999
Numerical simulation of biofilm growth in porous media. Zbl 0977.76556
Chen-Charpentier, Benito
5
1999
Nonstandard methods for the convective-dispersive transport equation with nonlinear reactions. Zbl 0941.65086
Kojouharov, Hristo V.; Chen, Benito M.
3
1999
Discretizations of nonlinear differential equations using explicit finite order methods. Zbl 0940.65074
Chen, Benito; Solis, Francisco
10
1998
Nonstandard methods for the convective transport equation with nonlinear reactions. Zbl 0961.65076
Kojouharov, Hristo V.; Chen, Benito M.
5
1998
Layered solutions to a bistable reaction-diffusion equation. Zbl 0817.34033
Chen, Benito; Flores, Gilberto; Shih, Shagi-Di
1
1995
Two-dimensional modeling of microscale transport and biotransformation in porous media. Zbl 0792.76078
Chen, B.; Cunningham, A.; Ewing, R.; Peralta, R.; Visser, E.
12
1994
Three-dimensional stability and bifurcation of capillary and gravity waves on deep water. Zbl 0564.76030
Chen, B.; Saffman, P. G.
11
1985
Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023
Chen, B.; Saffman, P. G.
72
1980
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
49
1980
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
63
1979
all top 5

Cited by 792 Authors

34 Chen-Charpentier, Benito Miguel
33 Cortés López, Juan Carlos
20 Jódar Sanchez, Lucas Antonio
16 Vanden-Broeck, Jean-Marc
15 Jornet, Marc
14 Villafuerte, Laura
13 Sweilam, Nasser Hassan
12 Calatayud, Julia
12 Saffman, Philip Geoffrey
11 González-Parra, Gilberto C.
11 Jones, Mark Christopher W.
11 Kojouharov, Hristo V.
11 Solís, Francisco Javier
10 Arenas, Abraham J.
10 Băleanu, Dumitru I.
10 Hoang, Manh Tuan
10 Jerez, Silvia
10 Roselló, María Dolores
10 Villanueva, Rafael-Jacinto
9 Lubuma, Jean Mbaro-Saman
8 Al-Mekhlafi, Seham Mahyoub
8 Ding, Xiaohua
7 Anguelov, Roumen
6 Basir, Fahad Al
6 Burgos, Clara
6 Kozlov, Vladimir A.
6 Zufiria, Juan A.
5 Ahmed, Nauman
5 Longuet-Higgins, Michael Selwyn
5 Patidar, Kailash C.
5 Ray, Santanu
5 Romero, José Vicente
4 Abdeljawad, Thabet
4 Abdullah, Farah Aini
4 Angstmann, Christopher N.
4 Dyachenko, Sergey A.
4 Forbes, Lawrence K.
4 Henry, Bruce I.
4 Ismail, Ahmad Izani Md.
4 Kovács, Endre
4 Kuznetsov, Nikolai Germanovich
4 McGann, Anna V.
4 Mohd, Mohd Hafiz
4 Qin, Wendi
4 Qiu, Zhipeng
4 Rehman, Muhammad Aziz-Ur
4 Stanescu, Dan
4 Wilkening, Jon A.
4 Wu, Xiang
4 Zhang, Kanjian
4 Zibaei, Sadegh
3 Ahmad, Muhammad Ozair
3 Assiri, Taghreed Abdul Rahman
3 Babaei, Afshin
3 Banihashemi, Seddigheh
3 Bridges, Thomas J.
3 Camacho, Ariel
3 Casabán, María Consuelo
3 Chapwanya, Michael
3 Cheng, Ming
3 Company, Rafael
3 Dias, Frédéric
3 Dimitrov, Dobromir T.
3 Ding, Deqiong
3 Gasull, Armengol
3 Grandison, Scott
3 Hogan, S. John
3 Jackson, Mark G.
3 Ma, Qiang
3 Macías-Díaz, Jorge Eduardo
3 Meiron, Daniel I.
3 Mohamed, D. G.
3 Moustafa, Mahmoud
3 Okamoto, Hisashi
3 Papageorgiou, Demetrios T.
3 Părău, Emilian I.
3 Pliego, Emilene
3 Roberts, Anthony John
3 Santonja, Francisco-José
3 Shōji, Mayumi
3 Strauss, Walter Alexander
3 Sun, Ji Tao
3 Venturino, Ezio
3 Wheeler, Miles H.
3 Yuen, Henry C.
3 Zhang, Fumin
3 Zhang, Shuorui
2 Abaali, Mostafa
2 Adhurya, Sagar
2 Albalawi, Anan O.
2 Alharbi, Sana Abdulkream
2 Alshomrani, Ali Saleh
2 Amick, Charles J.
2 Appadu, Appanah Rao
2 Bekiryazici, Zafer
2 Blyth, Mark G.
2 Blyuss, Konstantin B.
2 Bontozoglou, Vasilis
2 Cho, Yeunwoo
2 Choi, Wooyoung
...and 692 more Authors
all top 5

Cited in 150 Serials

62 Journal of Fluid Mechanics
25 Journal of Computational and Applied Mathematics
22 Advances in Difference Equations
18 Journal of Difference Equations and Applications
17 Chaos, Solitons and Fractals
15 Applied Mathematics and Computation
14 Computers & Mathematics with Applications
13 International Journal of Computer Mathematics
13 Computational and Applied Mathematics
12 Mathematics and Computers in Simulation
12 Studies in Applied Mathematics
9 Mathematical and Computer Modelling
8 International Journal of Biomathematics
7 Mathematical Methods in the Applied Sciences
7 Physica A
7 Physics of Fluids
7 Wave Motion
7 Bulletin of Mathematical Biology
7 Journal of Differential Equations
7 Applied Numerical Mathematics
7 Numerical Methods for Partial Differential Equations
7 Applied Mathematical Modelling
7 Journal of Applied Mathematics and Computing
6 Archive for Rational Mechanics and Analysis
6 Journal of Computational Physics
6 Communications in Nonlinear Science and Numerical Simulation
5 Physics of Fluids
5 European Journal of Mechanics. B. Fluids
5 Mediterranean Journal of Mathematics
5 Mathematical Biosciences and Engineering
4 Journal of Mathematical Biology
4 Mathematical Biosciences
4 Differential Equations and Dynamical Systems
4 Abstract and Applied Analysis
4 Journal of Applied Mathematics
3 Journal of Engineering Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Physics of Fluids, A
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Mathematics Letters
3 SIAM Journal on Applied Mathematics
3 SIAM Review
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Fractals
3 Discrete Dynamics in Nature and Society
3 Discrete and Continuous Dynamical Systems. Series B
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Computers and Fluids
2 Journal of Mathematical Analysis and Applications
2 Demonstratio Mathematica
2 Quarterly of Applied Mathematics
2 Ricerche di Matematica
2 Stochastic Analysis and Applications
2 Physica D
2 Journal of Nonlinear Science
2 Complexity
2 Chaos
2 Qualitative Theory of Dynamical Systems
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 The ANZIAM Journal
2 Journal of Nonlinear Mathematical Physics
2 Nonlinear Analysis. Modelling and Control
2 Thai Journal of Mathematics
2 International Journal of Computational Methods
2 Applications and Applied Mathematics
2 Computational & Mathematical Methods in Medicine
2 Discrete and Continuous Dynamical Systems. Series S
2 Symmetry
2 S\(\vec{\text{e}}\)MA Journal
2 Iranian Journal of Numerical Analysis and Optimization
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Heat and Mass Transfer
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 Journal of the Franklin Institute
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica
1 Applied Mathematics and Optimization
1 Fuzzy Sets and Systems
1 Glasgow Mathematical Journal
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Mathematika
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Bulletin of the Korean Mathematical Society
1 Journal of Scientific Computing
1 Computational Mathematics and Modeling
1 Japan Journal of Industrial and Applied Mathematics
1 Communications in Statistics. Theory and Methods
1 European Journal of Operational Research
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 International Journal of Robust and Nonlinear Control
1 Continuum Mechanics and Thermodynamics
1 Applied Mathematics. Series B (English Edition)
1 Turkish Journal of Mathematics
...and 50 more Serials
all top 5

Cited in 35 Fields

199 Biology and other natural sciences (92-XX)
171 Numerical analysis (65-XX)
170 Fluid mechanics (76-XX)
163 Ordinary differential equations (34-XX)
126 Partial differential equations (35-XX)
59 Probability theory and stochastic processes (60-XX)
49 Dynamical systems and ergodic theory (37-XX)
34 Real functions (26-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
17 Difference and functional equations (39-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Systems theory; control (93-XX)
8 Statistics (62-XX)
7 Mechanics of deformable solids (74-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Integral equations (45-XX)
6 Operator theory (47-XX)
6 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Operations research, mathematical programming (90-XX)
2 Integral transforms, operational calculus (44-XX)
2 Computer science (68-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year