## Hyman, James M.

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 Author ID: hyman.james-m Published as: Hyman, James M.; Hyman, J. M.; Hyman, James; Hyman, J. more...less External Links: MGP · Wikidata
 Documents Indexed: 101 Publications since 1976 7 Contributions as Editor Co-Authors: 115 Co-Authors with 99 Joint Publications 3,343 Co-Co-Authors
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### Co-Authors

 8 single-authored 13 Li, Jia 12 Shashkov, Mikhail J. 9 Chowell, Gerardo 6 Castillo-Chavez, Carlos 6 Manore, Carrie A. 5 Stanley, E. Ann 5 Steinberg, Stanly L. 5 Xue, Ling 4 Camassa, Roberto 4 Chitnis, Nakul 4 Hengartner, Nicolas W. 4 Newman, William I. 4 Nicolaenko, Basil 4 Rosenau, Philip S. 3 Del Valle, Sara Y. 3 Dewar, Jeremy D. 3 Qu, Zhuolin 2 Ammon, Catherine E. 2 Castillo, José E. 2 Cushing, Jim M. 2 Dendy, Joel E. jun. 2 Dougherty, Randall L. 2 Fenimore, P. W. 2 Grazier, Kevin R. 2 Harten, Ami 2 Hethcote, Herbert W. 2 Hickmann, Kyle S. 2 Holm, Darryl Dallas 2 Larrouturou, Bernard 2 Li, Shengtai 2 Luce, Benjamin P. 2 McMahon, Benjamin H. 2 Miller, Joel C. 2 Perelson, Alan S. 2 Petzold, Linda Ruth 2 Sharp, Philip W. 1 Aguilera, Ximena 1 Alcazar-Velazco, A. 1 Arriola, Leon M. 1 Azizi, Asma 1 Bergsman, Louis D. 1 Bettencourt, Luís M. A. 1 Bhunu, Claver Pedzisai 1 Bochev, Pavel B. 1 Boroojeni, Asma Azizi 1 Campbell, David K. 1 Campbell, James C. 1 Carasso, Alfred S. 1 Choi, Wooyoung 1 Cintrón-Arias, Ariel 1 Conrad, Jessica R. 1 Coombs, Daniel 1 Davis, Justin K. 1 Diaz-Dueñas, P. 1 Edelman, Alan Stuart 1 Estrada-Franco, José Guillermo 1 Fair, J. M. 1 Foppa, Ivo M. 1 Gear, Charles William 1 Gilchrist, Michael A. 1 Goldstein, David J. 1 Hasson, Maurice 1 Hoppensteadt, Frank C. 1 Jennings, Scott R. 1 Jing, Shuanglin 1 Kevrekidis, Ioannis George 1 Kevrekidis, Panayotis G. 1 Knapp, Robert J. 1 Knupp, Patrick M. 1 LaBute, M. X. 1 Lax, Peter David 1 Li, Huafeng 1 Li, Shentai 1 Li, Yi A. 1 Ma, Zhien 1 Maggio, Charles D. 1 Maini, Philip Kumar 1 Manteuffel, Thomas A. 1 McLaughlin, David W. 1 Milner, Fabio Augusto 1 Morel, Jim E. 1 Mores, Christopher N. 1 Moulton, J. David 1 Murray, James Dickson 1 Mushayabasa, Steady 1 Naughton, Michael J. 1 Nelson, Patrick W. 1 Nesse, H. 1 Olea, A. 1 Oster, George F. 1 Perkins, Douglas J. 1 Restrepo, Juan Mario 1 Rivas, A. L. 1 Robichaux, Jennifer L. 1 Runborg, Olof 1 Sánchez, Fabio 1 Sanderson, James G. 1 Scott, Alwyn C. 1 Scovel, James C. 1 Song, Baojun ...and 15 more Co-Authors
all top 5

### Serials

 9 Computers & Mathematics with Applications 9 Physica D 8 SIAM Journal on Applied Mathematics 8 Mathematical Biosciences and Engineering 7 Mathematical Biosciences 6 Journal of Computational Physics 5 Applied Numerical Mathematics 4 Journal of Biological Dynamics 3 Journal of Theoretical Biology 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Computation 2 SIAM Journal on Numerical Analysis 2 The ANZIAM Journal 2 Mathematical Modelling of Natural Phenomena 1 Communications on Pure and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Studies in Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Linear Algebra and its Applications 1 Chaos 1 Computational Geosciences 1 Physical Review Letters 1 Communications in Mathematical Sciences 1 Journal of Complex Networks
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### Fields

 49 Biology and other natural sciences (92-XX) 42 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Ordinary differential equations (34-XX) 12 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

92 Publications have been cited 3,395 times in 2,870 Documents Cited by Year
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
1994
Compactons: Solitons with finite wavelength. Zbl 0952.35502
Rosenau, P.; Hyman, J. M.
1993
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
2008
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049
Harten, Ami; Hyman, James M.
1983
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
2003
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
2006
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
1999
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
1976
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093
Hyman, James; Shashkov, Mikhail; Steinberg, Stanly
1997
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
1986
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
2006
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
1988
An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038
Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S.
2004
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006
Hyman, J. M.; Shashkov, M.
1997
Estimation of the reproduction number of dengue fever from spatial epidemic data. Zbl 1119.92055
Chowell, G.; Diaz-Dueñas, P.; Miller, J. C.; Alcazar-Velazco, A.; Hyman, J. M.; Fenimore, P. W.; Castillo-Chavez, C.
2007
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
2002
Numerical methods for tracking interfaces. Zbl 0604.65092
Hyman, James M.
1984
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
1986
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033
Hyman, James M.; Li, Jia
2000
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
1997
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
1998
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015
Hyman, James M.; Shashkov, Mikhail
1999
Accurate monotonicity preserving cubic interpolation. Zbl 0533.65004
Hyman, James M.
1983
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
2005
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
1998
Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus. Zbl 1412.92292
Manore, Carrie A.; Hickmann, Kyle S.; Xu, Sen; Wearing, Helen J.; Hyman, James M.
2014
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
1989
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072
Moulton, J. David; Dendy, Joel E. jun.; Hyman, James M.
1998
Differential susceptibility epidemic models. Zbl 1066.92044
Hyman, James M.; Li, Jia
2005
A numerical study of the exact evolution equations for surface waves in water of finite depth. Zbl 1141.76352
Li, Yi A.; Hyman, James M.; Choi, Wooyoung
2004
Modeling the impact of random screening and contact tracing in reducing the spread of HIV. Zbl 1037.92033
Hyman, James M.; Li, Jia; Stanley, E. Ann
2003
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089
Hyman, James M.; Knapp, Robert J.; Scovel, James C.
1992
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027
Hyman, James M.; Li, Jia
1998
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
2004
The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda. Zbl 1440.92062
Chowell, G.; Hengartner, N. W.; Castillo-Chavez, C.; Fenimore, P. W.; Hyman, J. M.
2004
The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension. Zbl 0836.65025
Castillo, J. E.; Hyman, J. M.; Shashkov, M. J.; Steinberg, S.
1995
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034
Hyman, James M.; Li, Jia
2006
Digital removal of random media image degradations by solving the diffusion equation backwards in time. Zbl 0385.65040
Carasso, Alfred S.; Sanderson, James G.; Hyman, James M.
1978
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060
Hyman, James M.; Li, Jia
2005
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
2009
The convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
2004
Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient. Zbl 0978.65011
Castillo, J. E.; Hyman, J. M.; Shashkov, M.; Steinberg, S.
2001
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
2003
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046
Hyman, James M.; Li, Jia
1997
The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods. Zbl 0998.65107
Hyman, J.; Shashkov, M.; Steinberg, S.
2001
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
2009
Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107
Qu, Zhuolin; Xue, Ling; Hyman, James M.
2018
The basic reproduction number $$\mathcal R_0$$ and effectiveness of reactive interventions during dengue epidemics: the 2002 dengue outbreak in Easter Island, Chile. Zbl 1273.92051
Chowell, Gerardo; Fuentes, R.; Olea, A.; Aguilera, X.; Nesse, H.; Hyman, J. M.
2013
Mesh refinement and local inversion of elliptic partial differential equations. Zbl 0346.65048
Hyman, James M.
1977
Periodic solutions of a logistic difference equation. Zbl 0351.39001
Hoppensteadt, F. C.; Hyman, J. M.
1977
Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: assessing the effects of hypothetical interventions. Zbl 1447.92408
Chowell, G.; Ammon, C. E.; Hengartner, N. W.; Hyman, J. M.
2006
Disease transmission models with biased partnership selection. Zbl 0878.92024
Hyman, James M.; Li, Jia
1997
Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003
Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F.
1986
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
2017
Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases. Zbl 1273.92052
Del Valle, Sara Y.; Hyman, James M.; Chitnis, Nakul
2013
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
1998
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007
Hyman, James M.; Larrouturou, Bernard
1982
Static rezone methods for tensor-product grids. Zbl 0581.76004
Hyman, James M.; Naughton, Michael J.
1985
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320
Newman, William I.; Campbell, David K.; Hyman, James M.
1991
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066
Hyman, J. M.
1978
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
2007
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
2002
Achieving Brouwer’s law with high-order Störmer multistep methods. Zbl 1078.65571
Grazier, K. R.; Newman, W. I.; Hyman, James M.; Sharp, Philip. W.; Goldstein, David J.
2005
A data-driven network model for the emerging COVID-19 epidemics in Wuhan, Toronto and Italy. Zbl 1448.92357
Xue, Ling; Jing, Shuanglin; Miller, Joel C.; Sun, Wei; Li, Huafeng; Estrada-Franco, José Guillermo; Hyman, James M.; Zhu, Huaiping
2020
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085
Hyman, James M.; Larrouturou, Bernard
1989
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
1981
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028
Hyman, James M.; Li, Jia
2009
Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407
Chitnis, Nakul; Hyman, James M.; Manore, Carrie A.
2013
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168
Hyman, James M.; Rosenau, Philip
1998
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016
Hyman, J. M.; Stanley, E. A.
1996
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121
Hyman, James M.; Li, Shengtai; Knupp, Patrick; Shashkov, Mikhail
2000
Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions. Zbl 1138.76440
Sviercoski, Rosangela F.; Travis, Bryan J.; Hyman, James M.
2008
A mathematical model for the spread of West Nile virus in migratory and resident birds. Zbl 1343.92461
Bergsman, Louis D.; Hyman, James M.; Manore, Carrie A.
2016
Plasma diffusion across a magnetic field. Zbl 0588.76164
Rosenau, Philip; Hyman, James M.
1986
Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland. Zbl 1129.92056
Chowell, Gerardo; Ammon, Catherine E.; Hengartner, Nicolas W.; Hyman, James M.
2007
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
1987
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115
Dougherty, Randall L.; Hyman, James M.
1994
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
2003
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021
Hyman, James M.; Shashkov, Mikhail
1998
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017
Hyman, James M.; Stanley, E. Ann
1989
Generating a hierarchy of reduced models for a system of differential equations modeling the spread of Wolbachia in mosquitoes. Zbl 1421.92035
Qu, Zhuolin; Hyman, James M.
2019
Coupling vector-host dynamics with weather geography and mitigation measures to model rift valley fever in Africa. Zbl 1322.92075
McMahon, B. H.; Manore, C. A.; Hyman, J. M.; LaBute, M. X.; Fair, J. M.
2014
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
1984
Biased preference models for partnership formation. Zbl 0846.92024
Hyman, James M.; Li, Jia
1996
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033
Hyman, James M.; Manteuffel, Thomas A.
1984
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field. Zbl 0612.35071
Hyman, James M.; Rosenau, Philip
1986
A strategy for detecting extreme eigenvalues bounding gaps in the discrete spectrum of self-adjoint operators. Zbl 1136.47016
Hasson, Maurice; Hyman, James M.; Restrepo, Juan M.
2007
Moving mesh methods for partial differential equations. Zbl 0647.65063
Hyman, James M.
1988
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004
2016
Long simulations of the Solar system: Brouwer’s law and chaos. Zbl 1080.85002
Grazier, K. R.; Newman, W. I.; Hyman, James M.; Sharp, Philip. W.
2005
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
2000
Modeling the impact of behavior change on the spread of Ebola. Zbl 1347.92085
Conrad, Jessica R.; Xue, Ling; Dewar, Jeremy; Hyman, James M.
2016
A data-driven network model for the emerging COVID-19 epidemics in Wuhan, Toronto and Italy. Zbl 1448.92357
Xue, Ling; Jing, Shuanglin; Miller, Joel C.; Sun, Wei; Li, Huafeng; Estrada-Franco, José Guillermo; Hyman, James M.; Zhu, Huaiping
2020
Generating a hierarchy of reduced models for a system of differential equations modeling the spread of Wolbachia in mosquitoes. Zbl 1421.92035
Qu, Zhuolin; Hyman, James M.
2019
Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107
Qu, Zhuolin; Xue, Ling; Hyman, James M.
2018
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
2017
A mathematical model for the spread of West Nile virus in migratory and resident birds. Zbl 1343.92461
Bergsman, Louis D.; Hyman, James M.; Manore, Carrie A.
2016
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004
2016
Modeling the impact of behavior change on the spread of Ebola. Zbl 1347.92085
Conrad, Jessica R.; Xue, Ling; Dewar, Jeremy; Hyman, James M.
2016
Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus. Zbl 1412.92292
Manore, Carrie A.; Hickmann, Kyle S.; Xu, Sen; Wearing, Helen J.; Hyman, James M.
2014
Coupling vector-host dynamics with weather geography and mitigation measures to model rift valley fever in Africa. Zbl 1322.92075
McMahon, B. H.; Manore, C. A.; Hyman, J. M.; LaBute, M. X.; Fair, J. M.
2014
The basic reproduction number $$\mathcal R_0$$ and effectiveness of reactive interventions during dengue epidemics: the 2002 dengue outbreak in Easter Island, Chile. Zbl 1273.92051
Chowell, Gerardo; Fuentes, R.; Olea, A.; Aguilera, X.; Nesse, H.; Hyman, J. M.
2013
Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases. Zbl 1273.92052
Del Valle, Sara Y.; Hyman, James M.; Chitnis, Nakul
2013
Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407
Chitnis, Nakul; Hyman, James M.; Manore, Carrie A.
2013
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
2009
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
2009
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028
Hyman, James M.; Li, Jia
2009
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
2008
Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions. Zbl 1138.76440
Sviercoski, Rosangela F.; Travis, Bryan J.; Hyman, James M.
2008
Estimation of the reproduction number of dengue fever from spatial epidemic data. Zbl 1119.92055
Chowell, G.; Diaz-Dueñas, P.; Miller, J. C.; Alcazar-Velazco, A.; Hyman, J. M.; Fenimore, P. W.; Castillo-Chavez, C.
2007
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
2007
Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland. Zbl 1129.92056
Chowell, Gerardo; Ammon, Catherine E.; Hengartner, Nicolas W.; Hyman, James M.
2007
A strategy for detecting extreme eigenvalues bounding gaps in the discrete spectrum of self-adjoint operators. Zbl 1136.47016
Hasson, Maurice; Hyman, James M.; Restrepo, Juan M.
2007
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
2006
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
2006
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034
Hyman, James M.; Li, Jia
2006
Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: assessing the effects of hypothetical interventions. Zbl 1447.92408
Chowell, G.; Ammon, C. E.; Hengartner, N. W.; Hyman, J. M.
2006
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
2005
Differential susceptibility epidemic models. Zbl 1066.92044
Hyman, James M.; Li, Jia
2005
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060
Hyman, James M.; Li, Jia
2005
Achieving Brouwer’s law with high-order Störmer multistep methods. Zbl 1078.65571
Grazier, K. R.; Newman, W. I.; Hyman, James M.; Sharp, Philip. W.; Goldstein, David J.
2005
Long simulations of the Solar system: Brouwer’s law and chaos. Zbl 1080.85002
Grazier, K. R.; Newman, W. I.; Hyman, James M.; Sharp, Philip. W.
2005
An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038
Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S.
2004
A numerical study of the exact evolution equations for surface waves in water of finite depth. Zbl 1141.76352
Li, Yi A.; Hyman, James M.; Choi, Wooyoung
2004
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
2004
The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda. Zbl 1440.92062
Chowell, G.; Hengartner, N. W.; Castillo-Chavez, C.; Fenimore, P. W.; Hyman, J. M.
2004
The convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
2004
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
2003
Modeling the impact of random screening and contact tracing in reducing the spread of HIV. Zbl 1037.92033
Hyman, James M.; Li, Jia; Stanley, E. Ann
2003
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
2003
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
2003
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
2002
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
2002
Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient. Zbl 0978.65011
Castillo, J. E.; Hyman, J. M.; Shashkov, M.; Steinberg, S.
2001
The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods. Zbl 0998.65107
Hyman, J.; Shashkov, M.; Steinberg, S.
2001
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033
Hyman, James M.; Li, Jia
2000
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121
Hyman, James M.; Li, Shengtai; Knupp, Patrick; Shashkov, Mikhail
2000
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
2000
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
1999
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015
Hyman, James M.; Shashkov, Mikhail
1999
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
1998
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
1998
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072
Moulton, J. David; Dendy, Joel E. jun.; Hyman, James M.
1998
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027
Hyman, James M.; Li, Jia
1998
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
1998
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168
Hyman, James M.; Rosenau, Philip
1998
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021
Hyman, James M.; Shashkov, Mikhail
1998
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093
Hyman, James; Shashkov, Mikhail; Steinberg, Stanly
1997
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006
Hyman, J. M.; Shashkov, M.
1997
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
1997
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046
Hyman, James M.; Li, Jia
1997
Disease transmission models with biased partnership selection. Zbl 0878.92024
Hyman, James M.; Li, Jia
1997
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016
Hyman, J. M.; Stanley, E. A.
1996
Biased preference models for partnership formation. Zbl 0846.92024
Hyman, James M.; Li, Jia
1996
The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension. Zbl 0836.65025
Castillo, J. E.; Hyman, J. M.; Shashkov, M. J.; Steinberg, S.
1995
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
1994
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115
Dougherty, Randall L.; Hyman, James M.
1994
Compactons: Solitons with finite wavelength. Zbl 0952.35502
Rosenau, P.; Hyman, J. M.
1993
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089
Hyman, James M.; Knapp, Robert J.; Scovel, James C.
1992
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320
Newman, William I.; Campbell, David K.; Hyman, James M.
1991
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
1989
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085
Hyman, James M.; Larrouturou, Bernard
1989
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017
Hyman, James M.; Stanley, E. Ann
1989
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
1988
Moving mesh methods for partial differential equations. Zbl 0647.65063
Hyman, James M.
1988
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
1987
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
1986
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
1986
Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003
Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F.
1986
Plasma diffusion across a magnetic field. Zbl 0588.76164
Rosenau, Philip; Hyman, James M.
1986
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field. Zbl 0612.35071
Hyman, James M.; Rosenau, Philip
1986
Static rezone methods for tensor-product grids. Zbl 0581.76004
Hyman, James M.; Naughton, Michael J.
1985
Numerical methods for tracking interfaces. Zbl 0604.65092
Hyman, James M.
1984
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
1984
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033
Hyman, James M.; Manteuffel, Thomas A.
1984
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049
Harten, Ami; Hyman, James M.
1983
Accurate monotonicity preserving cubic interpolation. Zbl 0533.65004
Hyman, James M.
1983
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007
Hyman, James M.; Larrouturou, Bernard
1982
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
1981
Digital removal of random media image degradations by solving the diffusion equation backwards in time. Zbl 0385.65040
Carasso, Alfred S.; Sanderson, James G.; Hyman, James M.
1978
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066
Hyman, J. M.
1978
Mesh refinement and local inversion of elliptic partial differential equations. Zbl 0346.65048
Hyman, James M.
1977
Periodic solutions of a logistic difference equation. Zbl 0351.39001
Hoppensteadt, F. C.; Hyman, J. M.
1977
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
1976
all top 5

### Cited by 4,256 Authors

 80 Wazwaz, Abdul-Majid Abdul-Rahman 40 Yin, Zhaoyang 36 Hyman, James M. 33 Kevrekidis, Ioannis George 26 Shashkov, Mikhail J. 20 Lipnikov, Konstantin N. 20 Liu, Yue 20 Zhou, Shouming 19 Li, Jibin 19 Manzini, Gianmarco 19 Tian, Lixin 18 Gumel, Abba B. 16 Brezzi, Franco 15 Mukandavire, Zindoga 14 Beirão da Veiga, Lourenço 14 Castillo-Chavez, Carlos 14 Qiao, Zhijun 14 Ruan, Shigui 14 Tchuenche, Jean Michel 13 Jiang, Daqing 12 Bochev, Pavel B. 12 Garira, Winston S. 12 Nyabadza, Farai 12 Samaey, Giovanni 11 Li, Xuezhi 11 Parés Madroñal, Carlos 11 Wu, Xinglong 10 Agusto, Folashade B. 10 Antonietti, Paola Francesca 10 Chen, Guanrong 10 Gerritsma, Marc I. 10 Lubuma, Jean Mbaro-Saman 10 Martcheva, Maia 10 Mu, Chunlai 10 Russo, Alessandro 10 Siettos, Constantinos I. 10 Wang, Jinliang 10 Yan, Kai 9 Bhunu, Claver Pedzisai 9 Bowong, Samuel 9 Castro, Manuel J. 9 Dutykh, Denys 9 Edwards, Michael G. 9 Guan, Chunxia 9 Jin, Zhen 9 Kar, Tapan Kumar 9 Liu, Xingxing 9 Liu, Zhengrong 9 Marini, Luisa Donatella 9 Mushayabasa, Steady 9 Ngonghala, Calistus N. 9 Rosenau, Philip S. 9 Torres, Delfim Fernando Marado 9 van den Driessche, Pauline 9 Villatoro, Francisco R. 9 Zou, Qingsong 8 Chen, Aiyong 8 Ghosh, Mini 8 Kutz, J. Nathan 8 Li, Jia 8 Luboobi, Livingstone Serwadda 8 Makinde, Oluwole Daniel 8 Qu, Changzheng 8 Rong, Libin 8 Shen, Chunyu 8 Shu, Chi-Wang 8 Teboh-Ewungkem, Miranda I. 8 Xue, Ling 7 Bekir, Ahmet 7 Browne, Cameron J. 7 Camassa, Roberto 7 Chitnis, Nakul 7 Chowell, Gerardo 7 Floryan, Jerzy M. 7 Gear, Charles William 7 Holden, Helge 7 Hu, Xiaozhe 7 Huo, Hai-Feng 7 Karasözen, Bülent 7 Li, Michael Yi 7 Liu, Siqi 7 Long, Yao 7 Marsden, Jerrold Eldon 7 Mohammed-Awel, Jemal 7 Mugisha, Joseph Y. T. 7 Osher, Stanley Joel 7 Rus, Francisco 7 Wang, Wendi 7 Yee, Helen C. 7 Zhang, Youjin 7 Zhou, Yicang 7 Zhu, Min 7 Zhu, Yonggui 6 Abboubakar, Hamadjam 6 Brunton, Steven L. 6 Cai, Liming 6 Elaiw, Ahmed M. 6 Elmojtaba, Ibrahim M. 6 Escher, Joachim 6 Feng, Zhilan ...and 4,156 more Authors
all top 5

### Cited in 352 Serials

 260 Journal of Computational Physics 165 Applied Mathematics and Computation 106 Mathematical Biosciences 88 Chaos, Solitons and Fractals 62 Bulletin of Mathematical Biology 59 Journal of Theoretical Biology 58 Physica D 56 Computers & Mathematics with Applications 52 Journal of Computational and Applied Mathematics 51 Mathematical Biosciences and Engineering 50 Computer Methods in Applied Mechanics and Engineering 49 Journal of Scientific Computing 45 Applied Numerical Mathematics 44 Journal of Differential Equations 44 Nonlinear Analysis. Real World Applications 44 Journal of Biological Dynamics 43 Computers and Fluids 40 Journal of Mathematical Analysis and Applications 40 Journal of Mathematical Biology 38 Communications in Nonlinear Science and Numerical Simulation 38 International Journal of Biomathematics 35 Mathematics and Computers in Simulation 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Applied Mathematical Modelling 30 Mathematics of Computation 29 Mathematical and Computer Modelling 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 International Journal for Numerical Methods in Fluids 26 Advances in Difference Equations 24 Journal of Biological Systems 24 Discrete and Continuous Dynamical Systems. Series B 23 Journal of Mathematical Physics 21 Numerische Mathematik 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Physica A 18 SIAM Journal on Numerical Analysis 18 Discrete and Continuous Dynamical Systems 18 Discrete Dynamics in Nature and Society 17 International Journal of Computer Mathematics 17 Journal of Nonlinear Science 17 SIAM Journal on Scientific Computing 17 International Journal of Applied and Computational Mathematics 16 Applicable Analysis 16 Abstract and Applied Analysis 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Journal of Applied Mathematics and Computing 14 Monatshefte für Mathematik 14 Journal of Applied Mathematics 14 Multiscale Modeling & Simulation 13 Mathematical Methods in the Applied Sciences 13 Numerical Methods for Partial Differential Equations 13 Applied Mathematics Letters 13 Physics of Fluids 13 Chaos 12 Computational Geosciences 12 Computational & Mathematical Methods in Medicine 11 Studies in Applied Mathematics 11 Journal of Dynamics and Differential Equations 10 Journal of Fluid Mechanics 10 International Journal for Numerical Methods in Engineering 10 Nonlinear Dynamics 10 Journal of Nonlinear Mathematical Physics 10 Journal of Evolution Equations 9 International Journal of Modern Physics B 9 Wave Motion 9 International Journal of Mathematics and Mathematical Sciences 9 SIAM Journal on Applied Dynamical Systems 9 Mathematical Modelling of Natural Phenomena 8 Mathematical Population Studies 8 International Journal of Computational Fluid Dynamics 7 Communications in Mathematical Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Geometry and Physics 7 Advances in Mathematics 7 Journal of Functional Analysis 7 Theoretical Population Biology 7 SIAM Journal on Applied Mathematics 6 Journal of Engineering Mathematics 6 Physics Letters. A 6 Quarterly of Applied Mathematics 6 Chinese Annals of Mathematics. Series B 6 Computational Mathematics and Mathematical Physics 6 Journal of Mathematical Imaging and Vision 6 Numerical Linear Algebra with Applications 6 Advances in Computational Mathematics 6 Mathematical Problems in Engineering 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Applied Analysis and Computation 5 Letters in Mathematical Physics 5 Nonlinearity 5 BIT 5 SIAM Journal on Mathematical Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Complexity 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Boundary Value Problems 5 Advances in Mathematical Physics 5 International Journal of Differential Equations 5 Journal of Computational Dynamics 5 Journal of Applied Nonlinear Dynamics ...and 252 more Serials
all top 5

### Cited in 50 Fields

 1,197 Partial differential equations (35-XX) 977 Biology and other natural sciences (92-XX) 857 Numerical analysis (65-XX) 586 Fluid mechanics (76-XX) 520 Ordinary differential equations (34-XX) 449 Dynamical systems and ergodic theory (37-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 80 Mechanics of deformable solids (74-XX) 79 Probability theory and stochastic processes (60-XX) 62 Systems theory; control (93-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Statistics (62-XX) 57 Statistical mechanics, structure of matter (82-XX) 54 Optics, electromagnetic theory (78-XX) 47 Classical thermodynamics, heat transfer (80-XX) 45 Geophysics (86-XX) 40 Computer science (68-XX) 26 Approximations and expansions (41-XX) 26 Global analysis, analysis on manifolds (58-XX) 22 Operations research, mathematical programming (90-XX) 20 Real functions (26-XX) 20 Mechanics of particles and systems (70-XX) 20 Information and communication theory, circuits (94-XX) 17 Operator theory (47-XX) 14 Quantum theory (81-XX) 13 Integral equations (45-XX) 11 Difference and functional equations (39-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Differential geometry (53-XX) 9 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 6 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

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