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Author ID: hyman.james-m Recent zbMATH articles by "Hyman, James M."
Published as: Hyman, James M.; Hyman, J. M.; Hyman, James; Hyman, J.
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all top 5

Co-Authors

8 single-authored
13 Li, Jia
12 Shashkov, Mikhail J.
10 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 Qu, Zhuolin
4 Rosenau, Philip S.
3 Del Valle, Sara Y.
3 Dewar, Jeremy D.
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.
2 Wu, Tong
1 Aguilera, Ximena
1 Alcazar-Velazco, A.
1 Allred, Sarah R.
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 Chyba, Monique
1 Cintrón-Arias, Ariel
1 Conrad, Jessica R.
1 Coombs, Daniel
1 Cooper, Fred
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 Khare, Avinash
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 Luo, Ruiyan
1 Ma, Zhien
1 Maggio, Charles D.
1 Maini, Philip Kumar
1 Manteuffel, Thomas A.
1 McLaughlin, David W.
1 Mileyko, Yuriy
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 Piccoli, Benedetto
1 Restrepo, Juan Mario
...and 25 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 4,370 times in 3,720 Documents Cited by Year
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
491
1994
Compactons: Solitons with finite wavelength. Zbl 0952.35502
Rosenau, P.; Hyman, J. M.
482
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.
452
2008
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049
Harten, Ami; Hyman, James M.
230
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
202
2003
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
165
2006
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
140
1999
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
133
1986
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
122
1976
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093
Hyman, James; Shashkov, Mikhail; Steinberg, Stanly
103
1997
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
101
2006
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.
85
2004
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
79
1988
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.
79
2004
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
78
1986
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006
Hyman, J. M.; Shashkov, M.
68
1997
Numerical methods for tracking interfaces. Zbl 0604.65092
Hyman, James M.
62
1984
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.
61
2007
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
60
2002
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids. Zbl 1005.65024
Hyman, James M.; Shashkov, Mikhail
53
1997
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033
Hyman, James M.; Li, Jia
53
2000
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.
50
2014
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015
Hyman, James M.; Shashkov, Mikhail
49
1999
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
49
1998
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.
48
2006
Accurate monotonicity preserving cubic interpolation. Zbl 0533.65004
Hyman, James M.
41
1983
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
38
2005
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
34
1989
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
32
1998
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089
Hyman, James M.; Knapp, Robert J.; Scovel, James C.
30
1992
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027
Hyman, James M.; Li, Jia
30
1998
Differential susceptibility epidemic models. Zbl 1066.92044
Hyman, James M.; Li, Jia
29
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
29
2004
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072
Moulton, J. David; Dendy, Joel E. jun.; Hyman, James M.
29
1998
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
26
2003
Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407
Chitnis, Nakul; Hyman, James M.; Manore, Carrie A.
25
2013
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.
22
1995
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
21
2017
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
21
2004
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.
21
1978
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060
Hyman, James M.; Li, Jia
20
2005
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
20
2009
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.
20
2001
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034
Hyman, James M.; Li, Jia
20
2006
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
19
1998
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
19
2009
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046
Hyman, James M.; Li, Jia
17
1997
Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107
Qu, Zhuolin; Xue, Ling; Hyman, James M.
17
2018
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
15
2020
The convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
14
2004
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
14
2003
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.
13
2001
Periodic solutions of a logistic difference equation. Zbl 0351.39001
Hoppensteadt, F. C.; Hyman, J. M.
13
1977
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
13
2013
Mesh refinement and local inversion of elliptic partial differential equations. Zbl 0346.65048
Hyman, James M.
12
1977
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017
Hyman, James M.; Stanley, E. Ann
11
1989
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.
11
2013
Disease transmission models with biased partnership selection. Zbl 0878.92024
Hyman, James M.; Li, Jia
10
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.
10
1986
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
10
2007
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
10
1981
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066
Hyman, J. M.
9
1978
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168
Hyman, James M.; Rosenau, Philip
8
1998
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
8
1987
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007
Hyman, James M.; Larrouturou, Bernard
8
1982
Nonlinear systems of partial differential equations in applied mathematics. (Proceedings of the SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics, hosted by the Los Alamos Center for Nonlinear Studies and held at the College of Santa Fe, New Mexico, 1984). Parts 1, 2. Zbl 0579.00008
8
1986
Static rezone methods for tensor-product grids. Zbl 0581.76004
Hyman, James M.; Naughton, Michael J.
8
1985
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.
7
2016
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.
7
2005
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320
Newman, William I.; Campbell, David K.; Hyman, James M.
7
1991
Plasma diffusion across a magnetic field. Zbl 0588.76164
Rosenau, Philip; Hyman, James M.
6
1986
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
6
2002
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004
6
2016
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028
Hyman, James M.; Li, Jia
6
2009
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016
Hyman, J. M.; Stanley, E. A.
5
1996
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085
Hyman, James M.; Larrouturou, Bernard
5
1989
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121
Hyman, James M.; Li, Shengtai; Knupp, Patrick; Shashkov, Mikhail
5
2000
A network-patch methodology for adapting agent-based models for directly transmitted disease to mosquito-borne disease. Zbl 1448.92321
Manore, Carrie A.; Hickmann, Kyle S.; Hyman, James M.; Foppa, Ivo M.; Davis, Justin K.; Wesson, Dawn M.; Mores, Christopher N.
4
2015
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.
4
2008
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
3
2003
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field. Zbl 0612.35071
Hyman, James M.; Rosenau, Philip
3
1986
Moving mesh methods for partial differential equations. Zbl 0647.65063
Hyman, James M.
3
1988
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.
3
2019
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.
3
2007
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115
Dougherty, Randall L.; Hyman, James M.
2
1994
Numerical methods for nonlinear differential equations. Zbl 0486.65057
Hyman, James M.
2
1982
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021
Hyman, James M.; Shashkov, Mikhail
2
1998
Biased preference models for partnership formation. Zbl 0846.92024
Hyman, James M.; Li, Jia
1
1996
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
1
1984
Multi-grid and ICCG for problems with interfaces. Zbl 0509.65046
Dendy, J. E. jun.; Hyman, J. M.
1
1981
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033
Hyman, James M.; Manteuffel, Thomas A.
1
1984
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.
1
2014
Mathematical applications associated with the deliberate release of infectious agents. Zbl 1152.92343
Chowell, Gerardo; Cintrón-Arias, Ariel; del Valle, Sara; Sánchez, Fabio; Song, Baojun; Hyman, James M.; Hethcote, Herbert W.; Castillo-Chávez, Carlos
1
2006
Critical response to post-outbreak vaccination against foot-and-mouth disease. Zbl 1182.92061
Chowell, G.; Rivas, A. L.; Hengartner, N. W.; Hyman, J. M.; Castillo-Chavez, C.
1
2006
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.
1
2007
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
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.
1
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.
1
2005
Generating bipartite networks with a prescribed joint degree distribution. Zbl 1458.90163
Boroojeni, Asma Azizi; Dewar, Jeremy; Wu, Tong; Hyman, James M.
1
2017
The COVID-19 pandemic evolution in Hawai‘i and New Jersey: a lesson on infection transmissibility and the role of human behavior. Zbl 1504.92110
Allred, Sarah; Chyba, Monique; Hyman, James M.; Mileyko, Yuriy; Piccoli, Benedetto
1
2022
The COVID-19 pandemic evolution in Hawai‘i and New Jersey: a lesson on infection transmissibility and the role of human behavior. Zbl 1504.92110
Allred, Sarah; Chyba, Monique; Hyman, James M.; Mileyko, Yuriy; Piccoli, Benedetto
1
2022
Modeling spatial waves of Wolbachia invasion for controlling mosquito-borne diseases. Zbl 1505.92223
Qu, Zhuolin; Wu, Tong; Hyman, James M.
1
2022
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
15
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.
3
2019
Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107
Qu, Zhuolin; Xue, Ling; Hyman, James M.
17
2018
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
21
2017
Generating bipartite networks with a prescribed joint degree distribution. Zbl 1458.90163
Boroojeni, Asma Azizi; Dewar, Jeremy; Wu, Tong; Hyman, James M.
1
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.
7
2016
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004
6
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.
1
2016
A network-patch methodology for adapting agent-based models for directly transmitted disease to mosquito-borne disease. Zbl 1448.92321
Manore, Carrie A.; Hickmann, Kyle S.; Hyman, James M.; Foppa, Ivo M.; Davis, Justin K.; Wesson, Dawn M.; Mores, Christopher N.
4
2015
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.
50
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.
1
2014
Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407
Chitnis, Nakul; Hyman, James M.; Manore, Carrie A.
25
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
13
2013
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.
11
2013
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
20
2009
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
19
2009
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028
Hyman, James M.; Li, Jia
6
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.
452
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.
4
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.
61
2007
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
10
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.
3
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.
1
2007
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
165
2006
Principles of mimetic discretizations of differential operators. Zbl 1110.65103
Bochev, Pavel B.; Hyman, James M.
101
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.
48
2006
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034
Hyman, James M.; Li, Jia
20
2006
Mathematical applications associated with the deliberate release of infectious agents. Zbl 1152.92343
Chowell, Gerardo; Cintrón-Arias, Ariel; del Valle, Sara; Sánchez, Fabio; Song, Baojun; Hyman, James M.; Hethcote, Herbert W.; Castillo-Chávez, Carlos
1
2006
Critical response to post-outbreak vaccination against foot-and-mouth disease. Zbl 1182.92061
Chowell, G.; Rivas, A. L.; Hengartner, N. W.; Hyman, J. M.; Castillo-Chavez, C.
1
2006
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
38
2005
Differential susceptibility epidemic models. Zbl 1066.92044
Hyman, James M.; Li, Jia
29
2005
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060
Hyman, James M.; Li, Jia
20
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.
7
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.
1
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.
85
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.
79
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
29
2004
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
21
2004
The convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
14
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
202
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
26
2003
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
14
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.
3
2003
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
60
2002
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
6
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.
20
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.
13
2001
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033
Hyman, James M.; Li, Jia
53
2000
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121
Hyman, James M.; Li, Shengtai; Knupp, Patrick; Shashkov, Mikhail
5
2000
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
2000
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030
Hyman, James M.; Li, Jia; Stanley, E. Ann
140
1999
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015
Hyman, James M.; Shashkov, Mikhail
49
1999
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
49
1998
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
32
1998
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027
Hyman, James M.; Li, Jia
30
1998
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072
Moulton, J. David; Dendy, Joel E. jun.; Hyman, James M.
29
1998
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
19
1998
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168
Hyman, James M.; Rosenau, Philip
8
1998
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021
Hyman, James M.; Shashkov, Mikhail
2
1998
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093
Hyman, James; Shashkov, Mikhail; Steinberg, Stanly
103
1997
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006
Hyman, J. M.; Shashkov, M.
68
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
53
1997
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046
Hyman, James M.; Li, Jia
17
1997
Disease transmission models with biased partnership selection. Zbl 0878.92024
Hyman, James M.; Li, Jia
10
1997
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016
Hyman, J. M.; Stanley, E. A.
5
1996
Biased preference models for partnership formation. Zbl 0846.92024
Hyman, James M.; Li, Jia
1
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.
22
1995
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
491
1994
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115
Dougherty, Randall L.; Hyman, James M.
2
1994
Compactons: Solitons with finite wavelength. Zbl 0952.35502
Rosenau, P.; Hyman, J. M.
482
1993
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089
Hyman, James M.; Knapp, Robert J.; Scovel, James C.
30
1992
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320
Newman, William I.; Campbell, David K.; Hyman, James M.
7
1991
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
34
1989
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017
Hyman, James M.; Stanley, E. Ann
11
1989
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085
Hyman, James M.; Larrouturou, Bernard
5
1989
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025
Hyman, James M.; Stanley, E. Ann
79
1988
Moving mesh methods for partial differential equations. Zbl 0647.65063
Hyman, James M.
3
1988
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
8
1987
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
133
1986
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
78
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.
10
1986
Nonlinear systems of partial differential equations in applied mathematics. (Proceedings of the SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics, hosted by the Los Alamos Center for Nonlinear Studies and held at the College of Santa Fe, New Mexico, 1984). Parts 1, 2. Zbl 0579.00008
8
1986
Plasma diffusion across a magnetic field. Zbl 0588.76164
Rosenau, Philip; Hyman, James M.
6
1986
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field. Zbl 0612.35071
Hyman, James M.; Rosenau, Philip
3
1986
Static rezone methods for tensor-product grids. Zbl 0581.76004
Hyman, James M.; Naughton, Michael J.
8
1985
Numerical methods for tracking interfaces. Zbl 0604.65092
Hyman, James M.
62
1984
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
1
1984
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033
Hyman, James M.; Manteuffel, Thomas A.
1
1984
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049
Harten, Ami; Hyman, James M.
230
1983
Accurate monotonicity preserving cubic interpolation. Zbl 0533.65004
Hyman, James M.
41
1983
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007
Hyman, James M.; Larrouturou, Bernard
8
1982
Numerical methods for nonlinear differential equations. Zbl 0486.65057
Hyman, James M.
2
1982
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
10
1981
Multi-grid and ICCG for problems with interfaces. Zbl 0509.65046
Dendy, J. E. jun.; Hyman, J. M.
1
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.
21
1978
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066
Hyman, J. M.
9
1978
Periodic solutions of a logistic difference equation. Zbl 0351.39001
Hoppensteadt, F. C.; Hyman, J. M.
13
1977
Mesh refinement and local inversion of elliptic partial differential equations. Zbl 0346.65048
Hyman, James M.
12
1977
...and 1 more Documents
all top 5

Cited by 5,544 Authors

81 Wazwaz, Abdul-Majid Abdul-Rahman
42 Yin, Zhaoyang
40 Hyman, James M.
39 Kevrekidis, Ioannis George
30 Tian, Lixin
29 Li, Jibin
26 Shashkov, Mikhail J.
24 Gumel, Abba B.
23 Zhou, Shouming
20 Lipnikov, Konstantin N.
20 Liu, Yue
20 Manzini, Gianmarco
20 Rosenau, Philip S.
18 Castillo-Chavez, Carlos
18 Yan, Zhenya
17 Chen, Guanrong
17 Chowell, Gerardo
17 Qiao, Zhijun
17 Ruan, Shigui
16 Brezzi, Franco
16 Jiang, Daqing
15 Castillo, José E.
15 Gerritsma, Marc I.
15 Mukandavire, Zindoga
15 Tchuenche, Jean Michel
14 Beirão da Veiga, Lourenço
14 Inc, Mustafa
13 Li, Xuezhi
13 Nyabadza, Farai
13 Samaey, Giovanni
13 Siettos, Constantinos I.
13 Wu, Xinglong
12 Bochev, Pavel B.
12 Bowong, Samuel
12 Garira, Winston S.
12 Luboobi, Livingstone Serwadda
12 Lubuma, Jean Mbaro-Saman
12 Wang, Haiquan
12 Xue, Ling
12 Yin, Jiuli
11 Antonietti, Paola Francesca
11 Jin, Zhen
11 Martcheva, Maia
11 Ngonghala, Calistus N.
11 Parés Madroñal, Carlos
11 Torres, Delfim Fernando Marado
11 Wang, Jinliang
11 Yan, Kai
10 Agusto, Folashade B.
10 Chen, Aiyong
10 Ghosh, Mini
10 Guan, Chunxia
10 Kar, Tapan Kumar
10 Kutz, J. Nathan
10 Li, Jia
10 Liu, Xingxing
10 Liu, Zhengrong
10 Makinde, Oluwole Daniel
10 Mu, Chunlai
10 Mushayabasa, Steady
10 Russo, Alessandro
10 Teng, Zhi-dong
10 van den Driessche, Pauline
10 Villatoro, Francisco R.
10 Wang, Hao
10 Zhao, Hongyong
10 Zou, Qingsong
9 Bhunu, Claver Pedzisai
9 Castro, Manuel J.
9 Dutykh, Denys
9 Edwards, Michael G.
9 Feng, Zhilan
9 Garcia-Navarro, Pilar
9 Li, Nianhua
9 Marini, Luisa Donatella
9 Murillo, Javier
9 Osher, Stanley Joel
9 Palha, Artur
9 Qu, Changzheng
9 Rong, Libin
9 Shen, Chunyu
9 Teboh-Ewungkem, Miranda I.
9 Wang, Xiunan
9 Yee, Helen C.
9 Zhang, Tailei
9 Zhu, Huaiping
8 Bekir, Ahmet
8 Camassa, Roberto
8 Gandarias Núñez, Maria Luz
8 Gurski, Katharine F.
8 Hu, Xiaozhe
8 Jana, Soovoojeet
8 Lai, Shaoyong
8 Li, Michael Yi
8 Liu, Shengqiang
8 Liu, Siqi
8 Liu, Xianning
8 Long, Yao
8 Marsden, Jerrold Eldon
8 Mohammed-Awel, Jemal
...and 5,444 more Authors
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Cited in 415 Serials

327 Journal of Computational Physics
179 Applied Mathematics and Computation
122 Mathematical Biosciences
108 Chaos, Solitons and Fractals
90 Physica D
84 Journal of Theoretical Biology
82 Bulletin of Mathematical Biology
66 Communications in Nonlinear Science and Numerical Simulation
65 Mathematical Biosciences and Engineering
64 Computers & Mathematics with Applications
62 Journal of Mathematical Biology
60 Journal of Biological Dynamics
57 Journal of Computational and Applied Mathematics
57 Journal of Scientific Computing
56 Computer Methods in Applied Mechanics and Engineering
56 Mathematical Methods in the Applied Sciences
55 Mathematics and Computers in Simulation
53 Computers and Fluids
53 Physics Letters. A
52 Nonlinear Analysis. Real World Applications
50 Journal of Differential Equations
48 Applied Numerical Mathematics
48 International Journal of Biomathematics
46 Journal of Mathematical Analysis and Applications
40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Applied Mathematical Modelling
34 Journal of Biological Systems
33 International Journal for Numerical Methods in Fluids
31 Mathematical and Computer Modelling
30 Journal of Mathematical Physics
30 Mathematics of Computation
30 Discrete and Continuous Dynamical Systems. Series B
30 Advances in Difference Equations
23 Physica A
23 Discrete Dynamics in Nature and Society
23 Journal of Applied Mathematics and Computing
22 Journal of Nonlinear Science
22 Journal of Applied Mathematics
21 Numerische Mathematik
20 Monatshefte für Mathematik
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
19 Applicable Analysis
19 SIAM Journal on Numerical Analysis
19 Applied Mathematics Letters
19 Nonlinear Dynamics
19 Chaos
19 Computational & Mathematical Methods in Medicine
18 International Journal of Computer Mathematics
18 SIAM Journal on Scientific Computing
18 Discrete and Continuous Dynamical Systems
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Multiscale Modeling & Simulation
16 Studies in Applied Mathematics
16 Numerical Methods for Partial Differential Equations
16 Abstract and Applied Analysis
16 International Journal of Applied and Computational Mathematics
15 Computer Physics Communications
14 Journal of Dynamics and Differential Equations
14 Journal of Nonlinear Mathematical Physics
13 Wave Motion
13 Physics of Fluids
12 International Journal of Modern Physics B
12 International Journal for Numerical Methods in Engineering
12 Computational Geosciences
11 Journal of Fluid Mechanics
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 International Journal of Mathematics and Mathematical Sciences
10 Computational and Applied Mathematics
10 Journal of Evolution Equations
10 SIAM Journal on Applied Dynamical Systems
10 Discrete and Continuous Dynamical Systems. Series S
9 Communications in Mathematical Physics
9 Nonlinearity
9 Journal of Geometry and Physics
9 SIAM Journal on Applied Mathematics
9 Mathematical Population Studies
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 Mathematical Modelling of Natural Phenomena
8 Advances in Mathematics
8 Theoretical Population Biology
8 International Journal of Computational Fluid Dynamics
8 Qualitative Theory of Dynamical Systems
7 Journal of Functional Analysis
7 Numerical Linear Algebra with Applications
7 Mathematical Problems in Engineering
7 Journal of Applied Analysis and Computation
7 Journal of Computational Dynamics
6 Journal of Engineering Mathematics
6 Letters in Mathematical Physics
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 Advances in Computational Mathematics
6 Complexity
6 Communications on Pure and Applied Analysis
6 Journal of Physics A: Mathematical and Theoretical
6 Communications in Computational Physics
5 Physics Letters. B
...and 315 more Serials
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Cited in 52 Fields

1,543 Partial differential equations (35-XX)
1,331 Biology and other natural sciences (92-XX)
1,015 Numerical analysis (65-XX)
733 Fluid mechanics (76-XX)
712 Ordinary differential equations (34-XX)
600 Dynamical systems and ergodic theory (37-XX)
142 Calculus of variations and optimal control; optimization (49-XX)
114 Probability theory and stochastic processes (60-XX)
96 Mechanics of deformable solids (74-XX)
91 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
90 Systems theory; control (93-XX)
75 Statistics (62-XX)
67 Statistical mechanics, structure of matter (82-XX)
62 Optics, electromagnetic theory (78-XX)
59 Computer science (68-XX)
56 Classical thermodynamics, heat transfer (80-XX)
50 Geophysics (86-XX)
35 Quantum theory (81-XX)
32 Global analysis, analysis on manifolds (58-XX)
32 Mechanics of particles and systems (70-XX)
30 Approximations and expansions (41-XX)
29 Operations research, mathematical programming (90-XX)
24 Real functions (26-XX)
24 Operator theory (47-XX)
24 Information and communication theory, circuits (94-XX)
21 Integral equations (45-XX)
15 Difference and functional equations (39-XX)
13 Combinatorics (05-XX)
12 Differential geometry (53-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Relativity and gravitational theory (83-XX)
8 Functions of a complex variable (30-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Astronomy and astrophysics (85-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Special functions (33-XX)
3 Functional analysis (46-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-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 Manifolds and cell complexes (57-XX)

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