Edit Profile (opens in new tab) Chen-Charpentier, Benito Miguel Co-Author Distance Author ID: chen-charpentier.benito-m 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. more...less 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 all top 5 Co-Authors 5 single-authored 17 Kojouharov, Hristo V. 9 González-Parra, Gilberto C. 8 Arenas, Abraham J. 7 Solís, Francisco Javier 7 Stanescu, Dan 6 Jódar Sanchez, Lucas Antonio 6 Roselló, María Dolores 5 Jackson, Mark G. 5 Saffman, Philip Geoffrey 4 Agusto, Folashade B. 4 Cortés López, Juan Carlos 3 Diakite, Ibrahim 3 Dimitrov, Dobromir T. 3 García-Bolós, R. 3 Leite, Maria Conceição A. 3 Li, Yaqing 3 Romero, José Vicente 2 Gaoue, Orou G. 2 Jerez, Silvia 2 Ku-Carrillo, Roberto Alejandro 2 Licea, J. A. 2 Prieto-Langarica, Alicia 2 Santonja, Francisco-José 2 Villafuerte, Laura 1 Arenasm, Abraham J. 1 Biguetti, Claudia 1 Brotto, Marco 1 Calatayud Gregori, Julia 1 Colberg, Patricia J. S. 1 Company, Rafael 1 Cunningham, Alfred B. 1 Delgadillo-Aleman, Sandra Elizabeth 1 Delgadillo, Sandra E. 1 Díaz-Infante, Saúl 1 Díaz-Rodríguez, Miguel 1 Ewing, Richard Edward 1 Flores, Gilberto 1 Hastings, Alan Matthew 1 Hoffman, Forrest M. 1 Hritonenko, Natali 1 Jensen, Brandi J. 1 Jiang, Jiang 1 Jorge, Maricarmen C. 1 Jornet-Sanz, Marc 1 Kostova, Tanya V. 1 Luo, Yiqi 1 Minzoni, Antonmaria Alessio 1 Noyola, A. 1 Rasmussen, Martin 1 Schenker, Jeffrey H. 1 Shih, Shagi-Di 1 Smith, Matthew J. 1 Suchomel, Brian 1 Sultana, Sharmin 1 Telyakovskiĭ, Alekseĭ Sergeevich 1 Todd-Brown, Katherine E. O. 1 Villanueva, Rafael-Jacinto 1 Visser, Eelco 1 Wang, Junping 1 Wang, Ying 1 Wang, Yingping 1 Wo, Shaochang all top 5 Serials 9 Journal of Computational and Applied Mathematics 8 Mathematical and Computer Modelling 6 Computers & Mathematics with Applications 6 Applied Numerical Mathematics 6 Numerical Methods for Partial Differential Equations 5 Studies in Applied Mathematics 4 Applied Mathematics and Computation 4 Mathematics and Computers in Simulation 3 Mathematical Biosciences 3 Applied Mathematics Letters 2 Mathematical Methods in the Applied Sciences 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 1 Journal of Mathematical Biology 1 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematica Balkanica. New Series 1 Applied Mathematical Modelling 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Journal of Biological Dynamics 1 Applications and Applied Mathematics 1 Computational & Mathematical Methods in Medicine 1 Symmetry 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Biomath all top 5 Fields 42 Biology and other natural sciences (92-XX) 39 Numerical analysis (65-XX) 28 Ordinary differential equations (34-XX) 18 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 12 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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