Edit Profile (opens in new tab) Milner, Fabio Augusto Compute Distance To: Compute Author ID: milner.fabio-augusto Published as: Milner, F. A.; Milner, Fabio A.; Milner, Fabio Augusto; Milner, Fabio; Milner, F. more...less Documents Indexed: 79 Publications since 1983, including 2 Books 9 Contributions as Editor Co-Authors: 57 Co-Authors with 71 Joint Publications 1,627 Co-Co-Authors all top 5 Co-Authors 15 single-authored 12 Iannelli, Mimmo 7 Feng, Zhilan 6 Pugliese, Andrea 5 Kostova, Tanya V. 4 Zhao, Ruijun 3 Angulo, Oscar 3 Cha, Youngjoon 3 Douglas, Jim jun. 3 Langlais, Michel R. 3 Martcheva, Maia 3 Maxin, Daniel 3 Park, Eun-Jae 3 Patton, Curtis Allan 3 Picart, Delphine 3 Rabbiolo, Guglielmo 2 Ainseba, Bedr’Eddine 2 Gerberry, David J. 2 Kim, Mi-Young 2 Kwon, YongHoon 2 Lee, Miyoung 2 Li, Cheng-Che 2 López-Marcos, Juan Carlos 2 Mode, Charles J. 2 Sega, Laurentiu 2 Yang, Kai 1 Agur, S. 1 Arbogast, Todd 1 Arriola, Leon M. 1 Bernhard, Robert J. 1 Brasic, Christine 1 Busenberg, Stavros N. 1 Bustamante-Orellana, Carlos 1 Cevallos-Chávez, Jordy 1 Cushing, Jim M. 1 Diekmann, Odo 1 Elliott, Charles M. 1 Eppert, A. 1 French, Donald A. 1 Gonzo, M. 1 Gulbudak, Hayriye 1 Gumel, Abba B. 1 Gyllenberg, Mats 1 Harris-Ward, Latimer 1 Heesterbeek, Hans 1 Hyman, James M. 1 Jagers, Peter 1 Kimmel, Marek 1 López-marcos, Miguel Ángel 1 Loro, Roberto 1 Meade, Douglas B. 1 Minchella, Dennis J. 1 Qu, Zhuolin 1 Suri, Manil 1 Thiéry, Denis 1 Tuncer, Necibe 1 Velasco-Hernandez, Jorge X. 1 Zhang, Pei all top 5 Serials 11 Mathematical Population Studies 9 Mathematical Biosciences 5 Journal of Computational and Applied Mathematics 5 Numerical Methods for Partial Differential Equations 4 Journal of Mathematical Biology 4 Mathematical Biosciences and Engineering 3 Calcolo 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Mathematical Modelling of Natural Phenomena 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Numerische Mathematik 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Matemática Aplicada e Computacional 2 Journal of Biological Dynamics 2 Journal of Theoretical Biology 1 IMA Journal of Numerical Analysis 1 Applied Mathematics and Computation 1 Dynamic Systems and Applications 1 Computational and Applied Mathematics 1 Journal of Biological Systems 1 Frontiers in Applied Mathematics 1 Lecture Notes on Mathematical Modelling in the Life Sciences all top 5 Fields 69 Biology and other natural sciences (92-XX) 36 Numerical analysis (65-XX) 33 Partial differential equations (35-XX) 16 Integral equations (45-XX) 11 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 848 times in 645 Documents Cited by ▼ Year ▼ A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097Elliott, C. M.; French, D. A.; Milner, F. A. 125 1989 A two-strain tuberculosis model with age of infection. Zbl 1017.35066Feng, Z.; Iannelli, M.; Milner, F. A. 61 2002 Mixed finite element methods for quasilinear second-order elliptic problems. Zbl 0567.65079Milner, F. A. 58 1985 Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission. Zbl 0776.35032Iannelli, M.; Milner, F. A.; Pugliese, A. 44 1992 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076Iannelli, M.; Martcheva, M.; Milner, F. A. 44 2005 The basic approach to age-structured population dynamics. Models, methods and numerics. Zbl 1403.92005Iannelli, Mimmo; Milner, Fabio 34 2017 Rapidly converging numerical algorithms for models of population dynamics. Zbl 0795.92022Milner, Fabio A.; Rabbiolo, Guglielmo 26 1992 On the approximation of the Lotka-McKendrick equation with finite life-span. Zbl 0998.65103Iannelli, M.; Milner, F. A. 24 2001 Estimation of parameters governing the transmission dynamics of schistosomes. Zbl 1063.92028Feng, Z.; Eppert, A.; Milner, F. A.; Minchella, D. J. 22 2004 \(L^{\infty}\)-error estimates for mixed methods for semilinear second- order elliptic equations. Zbl 0643.65057Kwon, Yonghoon; Milner, Fabio A. 21 1988 A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016Arbogast, Todd; Milner, Fabio A. 21 1989 A mixed finite element method for a strongly nonlinear second-order elliptic problem. Zbl 0829.65128Milner, F. A.; Park, E.-J. 21 1995 Schistosomiasis models with density dependence and age of infection in snail dynamics. Zbl 0999.92024Feng, Zhilan; Li, Cheng-Che; Milner, Fabio A. 21 2002 Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model. Zbl 0946.92027Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 17 1998 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110Douglas, Jim jun.; Milner, F. A. 17 1985 Numerical methods for a model of population dynamics. Zbl 0658.65145Douglas, J. jun.; Milner, F. A. 16 1987 A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies. Zbl 1106.92050Zhang, Pei; Feng, Zhilan; Milner, Fabio 15 2007 A numerical method for nonlinear age-structured population models with finite maximum age. Zbl 1208.65139Angulo, O.; López-Marcos, J. C.; López-Marcos, M. A.; Milner, F. A. 14 2010 Stability change of an epidemic model. Zbl 0984.92029Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 13 2000 A new mathematical model of syphilis. Zbl 1204.92046Milner, F. A.; Zhao, R. 12 2010 Schistosomiasis models with two migrating human groups. Zbl 1114.92038Feng, Z.; Li, C.-C.; Milner, F. A. 12 2005 Some observations on mixed methods for fully nonlinear parabolic problems in divergence form. Zbl 0854.35057Kim, M.-Y.; Milner, F. A.; Park, E.-J. 11 1996 A numerical method for a model of population dynamics with spatial diffusion. Zbl 0697.92021Milner, F. A. 11 1990 S-I-R model with directed spatial diffusion. Zbl 1151.92322Milner, Fabio A.; Zhao, Ruijun 10 2008 A fourth-order method for numerical integration of age- and size-structured population models. Zbl 1172.92026Iannelli, Mimmo; Kostova, Tanya; Milner, Fabio Augusto 10 2009 Mixed finite element methods for quasilinear second order elliptic problems: The \(p\)-version. Zbl 0783.65076Milner, F. A.; Suri, M. 10 1992 An SEIQR model for childhood diseases. Zbl 1231.92049Gerberry, David J.; Milner, Fabio A. 9 2009 Periodic solutions: A robust numerical method for an S-I-R model of epidemics. Zbl 0945.92017Milner, F. A.; Pugliese, A. 9 1999 Optimal control problem on insect pest populations. Zbl 1217.49006Picart, Delphine; Ainseba, Bedr’Eddine; Milner, Fabio 8 2011 A finite element method for a two-sex model of population dynamics. Zbl 0661.65149Milner, Fabio A. 8 1988 The mathematics of sex and marriage, revisited. Zbl 0990.91052Martcheva, Maia; Milner, Fabio A. 8 2001 The application of an age-structured model with unbounded mortality to demography. Zbl 1119.92049Angulo, Oscar; López-Marcos, Juan Carlos; Milner, Fabio Augusto 7 2007 A mathematical model of epidemics with screening and variable infectivity. Zbl 0823.92026Kim, M. Y.; Milner, F. A. 7 1995 A two-sex age-structured population model: well posedness. Zbl 0973.92031Martcheva, Maia; Milner, Fabio A. 7 1999 Mixed finite-element methods for Hamilton-Jacobi-Bellman-type equations. Zbl 0853.65120Milner, F. A.; Park, E.-J. 7 1996 The logistic, two-sex, age-structured population model. Zbl 1342.92213Yang, Kai; Milner, Fabio 6 2009 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093Douglas, Jim jun.; Milner, F. A. 6 1983 A primal hybrid finite element method for quasilinear second order elliptic problems. Zbl 0599.65073Milner, Fabio A. 6 1985 A deterministic model of schistosomiasis with spatial structure. Zbl 1158.92036Milner, Fabio Augusto; Zhao, Ruijun 5 2008 Mixed finite element methods for nonlinear elliptic problems: The \(p\)-version. Zbl 0870.65102Lee, Miyoung; Milner, Fabio A. 5 1996 Mixed finite element methods for nonlinear elliptic problems: The \(h-p\) version. Zbl 0898.65071Lee, Miyoung; Milner, Fabio A. 5 1997 The HIV/AIDS epidemics among drug injectors: A study of contact structure through a mathematical model. Zbl 0893.92025Iannelli, M.; Milner, F. A.; Pugliese, A.; Gonzo, M. 5 1997 A SIR epidemic model structured by immunological variables. Zbl 1342.92223Angulo, Oscar; Milner, Fabio; Sega, Laurentiu 4 2013 Control strategies for TB epidemics. Zbl 1367.92115Ainseba, Bedreddine; Feng, Z.; Iannelli, M.; Milner, F. A. 4 2017 Existence and uniqueness of solutions for a diffusion model of host–parasite dynamics. Zbl 1036.35097Langlais, Michel; Milner, Fabio Augusto 3 2003 A mathematical model of schistosoma mansoni in biomphalaria glabrata with control strategies. Zbl 1147.92025Zhao, Ruijun; Milner, Fabio Augusto 3 2008 A new mathematical model of schistosomiasis. Zbl 0926.92023Feng, Zhilan; Milner, Fabio Augusto 3 1998 A diffusion model for host–parasite interaction. Zbl 1014.92043Milner, Fabio Augusto; Patton, Curtis Allan 3 2003 A new approach to mathematical modeling of host-parasite systems. Zbl 0974.92031Milner, F. A.; Patton, C. A. 3 1999 Separable solutions of an age-dependent population model with age dominance and their stability. Zbl 0794.92018Langlais, Michel; Milner, Fabio A. 3 1994 An age-structured model of population dynamics with dominant ages, delayed behavior, and oscillations. Zbl 0872.92011Kostova, Tanya; Milner, Fabio A. 3 1995 Optimal control in a multistage physiologically structured insect population model. Zbl 1338.92110Picart, Delphine; Milner, Fabio 2 2014 Could changes in national tuberculosis vaccination policies be ill-informed ? Zbl 1250.92030Gerberry, D. J.; Milner, F. A. 2 2012 Existence of solutions for a host-parasite model. Zbl 1008.92036Milner, Fabio Augusto; Patton, Curtis Allan 2 2001 Numerical analysis of a model for the spread of HIV/AIDS. Zbl 0865.92020Iannelli, Mimmo; Loro, Roberto; Milner, Fabio A.; Pugliese, Andrea; Rabbiolo, Guglielmo 2 1996 The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality. Zbl 1405.92261Maxin, Daniel; Milner, Fabio Augusto 2 2009 The effect of nonreproductivity groups on persistent sexually transmitted diseases. Zbl 1129.92057Maxin, Daniel; Milner, Fabio Augusto 2 2007 Some new \(L^{\infty}\)-error estimates for mixed finite element methods. Zbl 0624.65098Kwon, Yonghoon; Milner, Fabio A. 1 1986 Non-unique positive steady states in population dynamics and epidemics models and their stability. Zbl 0921.92026Milner, Fabio A.; Langlais, Michel; Busenberg, Stavros 1 1996 An S-I-R model for epidemics with diffusion to avoid infection and overcrowding. Zbl 0786.92023Meade, Douglas B.; Milner, Fabio A. 1 1992 Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079 1 1999 Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: a theoretical analysis. Zbl 1375.92069Pugliese, Andrea; Gumel, Abba B.; Milner, Fabio A.; Velasco-Hernandez, Jorge X. 1 2018 Age structured populations with history dependent mortality and natality. Zbl 0797.92022Milner, F. A. 1 1993 Are multiple endemic equilibria possible? Zbl 0928.92026Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 1 1997 How do nonreproductive groups affect population growth? Zbl 1082.92037Milner, Fabio Augusto 1 2005 A mixed finite element method for the Cahn-Hilliard and the Sivashinsky equations. Zbl 0715.65098Milner, F. A. 1 1990 Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: a theoretical analysis. Zbl 1375.92069Pugliese, Andrea; Gumel, Abba B.; Milner, Fabio A.; Velasco-Hernandez, Jorge X. 1 2018 The basic approach to age-structured population dynamics. Models, methods and numerics. Zbl 1403.92005Iannelli, Mimmo; Milner, Fabio 34 2017 Control strategies for TB epidemics. Zbl 1367.92115Ainseba, Bedreddine; Feng, Z.; Iannelli, M.; Milner, F. A. 4 2017 Optimal control in a multistage physiologically structured insect population model. Zbl 1338.92110Picart, Delphine; Milner, Fabio 2 2014 A SIR epidemic model structured by immunological variables. Zbl 1342.92223Angulo, Oscar; Milner, Fabio; Sega, Laurentiu 4 2013 Could changes in national tuberculosis vaccination policies be ill-informed ? Zbl 1250.92030Gerberry, D. J.; Milner, F. A. 2 2012 Optimal control problem on insect pest populations. Zbl 1217.49006Picart, Delphine; Ainseba, Bedr’Eddine; Milner, Fabio 8 2011 A numerical method for nonlinear age-structured population models with finite maximum age. Zbl 1208.65139Angulo, O.; López-Marcos, J. C.; López-Marcos, M. A.; Milner, F. A. 14 2010 A new mathematical model of syphilis. Zbl 1204.92046Milner, F. A.; Zhao, R. 12 2010 A fourth-order method for numerical integration of age- and size-structured population models. Zbl 1172.92026Iannelli, Mimmo; Kostova, Tanya; Milner, Fabio Augusto 10 2009 An SEIQR model for childhood diseases. Zbl 1231.92049Gerberry, David J.; Milner, Fabio A. 9 2009 The logistic, two-sex, age-structured population model. Zbl 1342.92213Yang, Kai; Milner, Fabio 6 2009 The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality. Zbl 1405.92261Maxin, Daniel; Milner, Fabio Augusto 2 2009 S-I-R model with directed spatial diffusion. Zbl 1151.92322Milner, Fabio A.; Zhao, Ruijun 10 2008 A deterministic model of schistosomiasis with spatial structure. Zbl 1158.92036Milner, Fabio Augusto; Zhao, Ruijun 5 2008 A mathematical model of schistosoma mansoni in biomphalaria glabrata with control strategies. Zbl 1147.92025Zhao, Ruijun; Milner, Fabio Augusto 3 2008 A schistosomiasis model with an age-structure in human hosts and its application to treatment strategies. Zbl 1106.92050Zhang, Pei; Feng, Zhilan; Milner, Fabio 15 2007 The application of an age-structured model with unbounded mortality to demography. Zbl 1119.92049Angulo, Oscar; López-Marcos, Juan Carlos; Milner, Fabio Augusto 7 2007 The effect of nonreproductivity groups on persistent sexually transmitted diseases. Zbl 1129.92057Maxin, Daniel; Milner, Fabio Augusto 2 2007 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076Iannelli, M.; Martcheva, M.; Milner, F. A. 44 2005 Schistosomiasis models with two migrating human groups. Zbl 1114.92038Feng, Z.; Li, C.-C.; Milner, F. A. 12 2005 How do nonreproductive groups affect population growth? Zbl 1082.92037Milner, Fabio Augusto 1 2005 Estimation of parameters governing the transmission dynamics of schistosomes. Zbl 1063.92028Feng, Z.; Eppert, A.; Milner, F. A.; Minchella, D. J. 22 2004 Existence and uniqueness of solutions for a diffusion model of host–parasite dynamics. Zbl 1036.35097Langlais, Michel; Milner, Fabio Augusto 3 2003 A diffusion model for host–parasite interaction. Zbl 1014.92043Milner, Fabio Augusto; Patton, Curtis Allan 3 2003 A two-strain tuberculosis model with age of infection. Zbl 1017.35066Feng, Z.; Iannelli, M.; Milner, F. A. 61 2002 Schistosomiasis models with density dependence and age of infection in snail dynamics. Zbl 0999.92024Feng, Zhilan; Li, Cheng-Che; Milner, Fabio A. 21 2002 On the approximation of the Lotka-McKendrick equation with finite life-span. Zbl 0998.65103Iannelli, M.; Milner, F. A. 24 2001 The mathematics of sex and marriage, revisited. Zbl 0990.91052Martcheva, Maia; Milner, Fabio A. 8 2001 Existence of solutions for a host-parasite model. Zbl 1008.92036Milner, Fabio Augusto; Patton, Curtis Allan 2 2001 Stability change of an epidemic model. Zbl 0984.92029Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 13 2000 Periodic solutions: A robust numerical method for an S-I-R model of epidemics. Zbl 0945.92017Milner, F. A.; Pugliese, A. 9 1999 A two-sex age-structured population model: well posedness. Zbl 0973.92031Martcheva, Maia; Milner, Fabio A. 7 1999 A new approach to mathematical modeling of host-parasite systems. Zbl 0974.92031Milner, F. A.; Patton, C. A. 3 1999 Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079 1 1999 Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model. Zbl 0946.92027Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 17 1998 A new mathematical model of schistosomiasis. Zbl 0926.92023Feng, Zhilan; Milner, Fabio Augusto 3 1998 Mixed finite element methods for nonlinear elliptic problems: The \(h-p\) version. Zbl 0898.65071Lee, Miyoung; Milner, Fabio A. 5 1997 The HIV/AIDS epidemics among drug injectors: A study of contact structure through a mathematical model. Zbl 0893.92025Iannelli, M.; Milner, F. A.; Pugliese, A.; Gonzo, M. 5 1997 Are multiple endemic equilibria possible? Zbl 0928.92026Cha, Youngjoon; Iannelli, Mimmo; Milner, Fabio A. 1 1997 Some observations on mixed methods for fully nonlinear parabolic problems in divergence form. Zbl 0854.35057Kim, M.-Y.; Milner, F. A.; Park, E.-J. 11 1996 Mixed finite-element methods for Hamilton-Jacobi-Bellman-type equations. Zbl 0853.65120Milner, F. A.; Park, E.-J. 7 1996 Mixed finite element methods for nonlinear elliptic problems: The \(p\)-version. Zbl 0870.65102Lee, Miyoung; Milner, Fabio A. 5 1996 Numerical analysis of a model for the spread of HIV/AIDS. Zbl 0865.92020Iannelli, Mimmo; Loro, Roberto; Milner, Fabio A.; Pugliese, Andrea; Rabbiolo, Guglielmo 2 1996 Non-unique positive steady states in population dynamics and epidemics models and their stability. Zbl 0921.92026Milner, Fabio A.; Langlais, Michel; Busenberg, Stavros 1 1996 A mixed finite element method for a strongly nonlinear second-order elliptic problem. Zbl 0829.65128Milner, F. A.; Park, E.-J. 21 1995 A mathematical model of epidemics with screening and variable infectivity. Zbl 0823.92026Kim, M. Y.; Milner, F. A. 7 1995 An age-structured model of population dynamics with dominant ages, delayed behavior, and oscillations. Zbl 0872.92011Kostova, Tanya; Milner, Fabio A. 3 1995 Separable solutions of an age-dependent population model with age dominance and their stability. Zbl 0794.92018Langlais, Michel; Milner, Fabio A. 3 1994 Age structured populations with history dependent mortality and natality. Zbl 0797.92022Milner, F. A. 1 1993 Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission. Zbl 0776.35032Iannelli, M.; Milner, F. A.; Pugliese, A. 44 1992 Rapidly converging numerical algorithms for models of population dynamics. Zbl 0795.92022Milner, Fabio A.; Rabbiolo, Guglielmo 26 1992 Mixed finite element methods for quasilinear second order elliptic problems: The \(p\)-version. Zbl 0783.65076Milner, F. A.; Suri, M. 10 1992 An S-I-R model for epidemics with diffusion to avoid infection and overcrowding. Zbl 0786.92023Meade, Douglas B.; Milner, Fabio A. 1 1992 A numerical method for a model of population dynamics with spatial diffusion. Zbl 0697.92021Milner, F. A. 11 1990 A mixed finite element method for the Cahn-Hilliard and the Sivashinsky equations. Zbl 0715.65098Milner, F. A. 1 1990 A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097Elliott, C. M.; French, D. A.; Milner, F. A. 125 1989 A finite difference method for a two-sex model of population dynamics. Zbl 0683.92016Arbogast, Todd; Milner, Fabio A. 21 1989 \(L^{\infty}\)-error estimates for mixed methods for semilinear second- order elliptic equations. Zbl 0643.65057Kwon, Yonghoon; Milner, Fabio A. 21 1988 A finite element method for a two-sex model of population dynamics. Zbl 0661.65149Milner, Fabio A. 8 1988 Numerical methods for a model of population dynamics. Zbl 0658.65145Douglas, J. jun.; Milner, F. A. 16 1987 Some new \(L^{\infty}\)-error estimates for mixed finite element methods. Zbl 0624.65098Kwon, Yonghoon; Milner, Fabio A. 1 1986 Mixed finite element methods for quasilinear second-order elliptic problems. Zbl 0567.65079Milner, F. A. 58 1985 Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110Douglas, Jim jun.; Milner, F. A. 17 1985 A primal hybrid finite element method for quasilinear second order elliptic problems. Zbl 0599.65073Milner, Fabio A. 6 1985 Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093Douglas, Jim jun.; Milner, F. A. 6 1983 all cited Publications top 5 cited Publications all top 5 Cited by 995 Authors 37 Milner, Fabio Augusto 20 Park, Eun-Jae 19 Chen, Yanping 17 López-Marcos, Juan Carlos 16 Angulo, Oscar 15 Kuniya, Toshikazu 14 Feng, Zhilan 14 Li, Xuezhi 13 Kim, Mi-Young 13 Martcheva, Maia 12 Iannelli, Mimmo 12 Lu, Zuliang 9 Ainseba, Bedr’Eddine 9 López-marcos, Miguel Ángel 9 Maxin, Daniel 9 Miranville, Alain M. 8 Cherfils, Laurence 8 Thieme, Horst R. 8 Yang, Junyuan 7 Elliott, Charles M. 7 Fakih, Hussein 7 Pani, Amiya Kumar 7 Qiu, Zhipeng 7 Zhu, Guangtian 6 Huang, Yunqing 6 Kim, Dongho 6 Wang, Cheng 6 Wise, Steven M. 5 Abia, Luis M. 5 Arshad, Muhammad 5 Berec, Luděk 5 Bi, Chunjia 5 Cao, Hui 5 Chen, Wenbin 5 Cui, Jingan 5 Inaba, Hisashi 5 Langlais, Michel R. 5 Liu, Helong 5 Pugliese, Andrea 5 Qi, Longxing 5 Sega, Laurentiu 5 Tchuenche, Jean Michel 5 Tian, Xiaohong 5 Xu, Rui 5 Zhou, Yicang 4 Ackleh, Azmy S. 4 Choo, S. M. 4 Colli, Pierluigi 4 Douglas, Jim jun. 4 Feng, Xiaobing 4 Ghosh, Mini 4 Huo, Hai-Feng 4 Minchella, Dennis J. 4 Petcu, Madalina 4 Ripoll, Jordi 4 Rong, Libin 4 Ruan, Shigui 4 Seo, Boyoon 4 Wang, Cheng 4 Xu, Dashun 4 Xu, Yan 4 Yang, Jiming 4 Yu, Jingyuan 4 Zanella, Mattia 3 Acharya, Sanjib Kumar 3 Albi, Giacomo 3 Antonietti, Paola Francesca 3 Breda, Dimitri 3 Castillo-Chavez, Carlos 3 Chen, Zhangxin 3 Comincioli, Valeriano 3 Dehghan Takht Fooladi, Mehdi 3 Ding, Chunxiao 3 Gandolfi, Alberto 3 Gerardo-Giorda, Luca 3 Guillén González, Francisco M. 3 Guo, Liming 3 Gupur, Geni 3 Gwiazda, Piotr 3 He, Zerong 3 Hughes, Thomas J. R. 3 Jia, Hongen 3 Jin, Wen 3 Kostova, Tanya V. 3 Křížek, Michal 3 Li, Jianquan 3 Liang, Dong 3 Lin, Jiazhe 3 Liu, Luju 3 Magal, Pierre 3 Marciniak-Czochra, Anna K. 3 Marinoschi, Gabriela 3 Matthews, Alan P. 3 Okuonghae, Daniel 3 Pareschi, Lorenzo 3 Pierre, Morgan 3 Rui, Hongxing 3 Schlüter, Jan Christian 3 Shcheglov, A. Yu 3 Shi, Dongyang ...and 895 more Authors all top 5 Cited in 142 Serials 35 Journal of Computational and Applied Mathematics 28 Mathematical Biosciences 25 Computers & Mathematics with Applications 22 Journal of Mathematical Biology 21 Mathematical Biosciences and Engineering 20 Journal of Computational Physics 20 Applied Mathematics and Computation 16 Applied Numerical Mathematics 16 Journal of Scientific Computing 16 Discrete and Continuous Dynamical Systems. Series B 16 Journal of Biological Dynamics 15 Bulletin of Mathematical Biology 13 Journal of Mathematical Analysis and Applications 12 Computer Methods in Applied Mechanics and Engineering 12 Mathematics of Computation 12 Numerische Mathematik 12 Journal of Theoretical Biology 11 Mathematical Population Studies 10 Mathematical Methods in the Applied Sciences 10 Numerical Methods for Partial Differential Equations 10 Applied Mathematical Modelling 10 Nonlinear Analysis. Real World Applications 9 Applied Mathematics Letters 9 International Journal of Biomathematics 8 SIAM Journal on Numerical Analysis 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 Advances in Difference Equations 7 Theoretical Population Biology 7 Mathematical and Computer Modelling 7 Communications in Nonlinear Science and Numerical Simulation 6 Acta Mathematicae Applicatae Sinica. English Series 6 Computational and Applied Mathematics 5 Chaos, Solitons and Fractals 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Discrete Dynamics in Nature and Society 5 Journal of Biological Systems 5 Mathematical Modelling of Natural Phenomena 4 Calcolo 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Systems Science and Complexity 4 Journal of Applied Mathematics and Computing 3 Applicable Analysis 3 Journal of the Franklin Institute 3 Rocky Mountain Journal of Mathematics 3 Journal of Differential Equations 3 Journal of Optimization Theory and Applications 3 Acta Applicandae Mathematicae 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 SIAM Journal on Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Advances in Computational Mathematics 3 Communications on Pure and Applied Analysis 3 Computational & Mathematical Methods in Medicine 3 Advances in Applied Mathematics and Mechanics 3 AIMS Mathematics 2 Physica A 2 Applied Mathematics and Optimization 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Advances in Applied Mathematics 2 Insurance Mathematics & Economics 2 European Journal of Applied Mathematics 2 Computational Mathematics and Modeling 2 Applications of Mathematics 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Engineering Analysis with Boundary Elements 2 Journal of Difference Equations and Applications 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Journal of Evolution Equations 2 Archives of Computational Methods in Engineering 2 Journal of Applied Mathematics 2 Advances in Complex Systems 2 Journal of Numerical Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Analysis and Computation 2 Journal of Mathematics 2 Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Statistics 1 BIT 1 Czechoslovak Mathematical Journal 1 Journal of Mathematical Economics 1 Jnanabha 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Chinese Annals of Mathematics. Series B 1 Journal of the Nigerian Mathematical Society ...and 42 more Serials all top 5 Cited in 35 Fields 372 Biology and other natural sciences (92-XX) 298 Partial differential equations (35-XX) 298 Numerical analysis (65-XX) 90 Ordinary differential equations (34-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 44 Dynamical systems and ergodic theory (37-XX) 42 Fluid mechanics (76-XX) 36 Integral equations (45-XX) 28 Mechanics of deformable solids (74-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Probability theory and stochastic processes (60-XX) 15 Systems theory; control (93-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Difference and functional equations (39-XX) 5 Computer science (68-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year