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## Hyman, James M.

Compute Distance To:
 Author ID: hyman.james-m Published as: Hyman, James M.; Hyman, J. M.; Hyman, J.; Hyman, James External Links: MGP · Wikidata
 Documents Indexed: 108 Publications since 1976, including 5 Books
all top 5

#### 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 D. 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 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 1 Stapor, Peter C. ...and 13 more Co-Authors
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#### 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

91 Publications have been cited 3,020 times in 2,543 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
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033
Hyman, J.; Morel, J.; Shashkov, M.; Steinberg, S.
2002
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065
Hyman, James M.; Nicolaenko, Basil; Zaleski, Stéphane
1986
Numerical methods for tracking interfaces. Zbl 0604.65092
Hyman, James M.
1984
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
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
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077
Hyman, James M.; Shashkov, Mikhail
1998
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033
Hyman, James M.; Li, Jia
2000
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
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111
Hyman, J. M.; Shashkov, M.
1998
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
2005
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
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089
Hyman, James M.; Knapp, Robert J.; Scovel, James C.
1992
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
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
Epidemiological models for mutating pathogens. Zbl 1088.34045
Li, Jia; Zhou, Yican; Ma, Zhien; Hyman, James M.
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
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027
Hyman, James M.; Li, Jia
1998
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 convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
2004
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060
Hyman, James M.; Li, Jia
2005
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046
Hyman, James M.; Li, Jia
1997
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 adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
2003
Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107
Qu, Zhuolin; Xue, Ling; Hyman, James M.
2018
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
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
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
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
2009
Static rezone methods for tensor-product grids. Zbl 0581.76004
Hyman, James M.; Naughton, Michael J.
1985
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007
Hyman, James M.; Larrouturou, Bernard
1982
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
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
Chowell, Gerardo (ed.); Hyman, James M. (ed.); Bettencourt, Luís M. A. (ed.); Castillo-Chavez, Carlos (ed.)
2009
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066
Hyman, J. M.
1978
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320
Newman, William I.; Campbell, David K.; Hyman, James M.
1991
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
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
2017
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
2007
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
Mimetic finite difference operators for second-order tensors on unstructured grids. Zbl 0999.65013
Campbell, J. C.; Hyman, J. M.; Shashkov, M. J.
2002
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
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085
Hyman, James M.; Larrouturou, Bernard
1989
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
1998
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028
Hyman, James M.; Li, Jia
2009
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016
Hyman, J. M.; Stanley, E. A.
1996
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168
Hyman, James M.; Rosenau, Philip
1998
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
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
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
1981
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121
Hyman, James M.; Li, Shengtai; Knupp, Patrick; Shashkov, Mikhail
2000
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043
Hyman, James M.; Nicolaenko, Basil
1987
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017
Hyman, James M.; Stanley, E. Ann
1989
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115
Dougherty, Randall L.; Hyman, James M.
1994
Plasma diffusion across a magnetic field. Zbl 0588.76164
Rosenau, Philip; Hyman, James M.
1986
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021
Hyman, James M.; Shashkov, Mikhail
1998
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
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
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004
Chowell, Gerardo (ed.); Hyman, James M. (ed.)
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
Moving mesh methods for partial differential equations. Zbl 0647.65063
Hyman, James M.
1988
Biased preference models for partnership formation. Zbl 0846.92024
Hyman, James M.; Li, Jia
1996
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
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
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
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
2000
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
1984
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
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
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
Chowell, Gerardo; Hyman, James M.
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
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001
Arriola, Leon; Hyman, James M.
2009
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002
Chowell, Gerardo; Hyman, James M.; Bettencourt, Luís M. A.; Castillo-Chavez, Carlos
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 convergence of mimetic discretization for rough grids. Zbl 1070.65114
Hyman, J. M.; Steinberg, S.
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
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
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033
Hyman, James M.; Manteuffel, Thomas A.
1984
Future directions in large scale scientific computing. Zbl 0546.68015
Hyman, James M.
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 3,715 Authors

 80 Wazwaz, Abdul-Majid Abdul-Rahman 38 Yin, Zhaoyang 37 Hyman, James M. 31 Kevrekidis, Ioannis George 26 Shashkov, Mikhail J. 19 Tian, Lixin 19 Zhou, Shouming 18 Gumel, Abba B. 18 Li, Jibin 18 Lipnikov, Konstantin N. 18 Liu, Yue 16 Brezzi, Franco 16 Manzini, Gianmarco 15 Mukandavire, Zindoga 14 Beirão da Veiga, Lourenço 14 Castillo-Chavez, Carlos 13 Qiao, Zhijun 13 Tchuenche, Jean Michel 12 Bochev, Pavel B. 12 Garira, Winston S. 12 Nyabadza, Farai 12 Ruan, Shigui 12 Samaey, Giovanni 11 Castillo, José E. 11 Li, Xuezhi 10 Parés Madroñal, Carlos 10 Russo, Alessandro 9 Bhunu, Claver Pedzisai 9 Bowong, Samuel 9 Chen, Guanrong 9 Edwards, Michael G. 9 Guan, Chunxia 9 Liu, Xingxing 9 Liu, Zhengrong 9 Marini, Luisa Donatella 9 Mu, Chunlai 9 Villatoro, Francisco R. 9 Wang, Jinliang 9 Wu, Xinglong 9 Yan, Kai 9 Zou, Qingsong 8 Agusto, Folashade B. 8 Castro, Manuel J. 8 Dutykh, Denys 8 Li, Jia 8 Luboobi, Livingstone Serwadda 8 Lubuma, Jean Mbaro-Saman 8 Martcheva, Maia 8 Mushayabasa, Steady 8 Ngonghala, Calistus N. 8 Qu, Changzheng 8 Rosenau, Philip S. 8 Shen, Chunyu 8 Shu, Chi-Wang 8 Siettos, Constantinos I. 8 Xue, Ling 7 Antonietti, Paola Francesca 7 Bekir, Ahmet 7 Browne, Cameron J. 7 Chen, Aiyong 7 Chitnis, Nakul 7 Floryan, Jerzy M. 7 Gerritsma, Marc I. 7 Holden, Helge 7 Huo, Hai-Feng 7 Jiang, Daqing 7 Karasözen, Bülent 7 Kutz, J. Nathan 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 Teboh-Ewungkem, Miranda I. 7 Torres, Delfim Fernando Marado 7 van den Driessche, Pauline 7 Wang, Wendi 7 Yee, Helen C. 7 Zhang, Youjin 7 Zhou, Yicang 7 Zhu, Min 7 Zhu, Yonggui 6 Brunton, Steven L. 6 Chowell, Gerardo 6 Escher, Joachim 6 Gandarias Núñez, Maria Luz 6 Garcia-Navarro, Pilar 6 Gui, Guilong 6 Hu, Xiaozhe 6 Kar, Tapan Kumar 6 Liu, Xiaochuan 6 Luo, Wei 6 Manore, Carrie A. 6 Matsuo, Takayasu 6 Murillo, Javier 6 Ngwa, Gideon Akumah 6 Piperno, Serge 6 Raynaud, Xavier ...and 3,615 more Authors
all top 5

#### Cited in 323 Serials

 241 Journal of Computational Physics 158 Applied Mathematics and Computation 104 Mathematical Biosciences 57 Journal of Theoretical Biology 56 Computers & Mathematics with Applications 54 Bulletin of Mathematical Biology 54 Chaos, Solitons and Fractals 52 Journal of Computational and Applied Mathematics 49 Computer Methods in Applied Mechanics and Engineering 49 Physica D 44 Journal of Differential Equations 44 Applied Numerical Mathematics 44 Journal of Scientific Computing 39 Computers and Fluids 39 Journal of Mathematical Biology 39 Mathematical Biosciences and Engineering 38 Journal of Mathematical Analysis and Applications 38 Nonlinear Analysis. Real World Applications 37 Journal of Biological Dynamics 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Communications in Nonlinear Science and Numerical Simulation 30 Mathematics of Computation 29 Mathematical and Computer Modelling 28 International Journal for Numerical Methods in Fluids 28 Applied Mathematical Modelling 26 Mathematics and Computers in Simulation 26 International Journal of Biomathematics 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Journal of Mathematical Physics 21 Journal of Biological Systems 21 Discrete and Continuous Dynamical Systems. Series B 20 Numerische Mathematik 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Discrete and Continuous Dynamical Systems 17 SIAM Journal on Numerical Analysis 16 International Journal of Computer Mathematics 16 Journal of Nonlinear Science 16 SIAM Journal on Scientific Computing 16 Discrete Dynamics in Nature and Society 16 Advances in Difference Equations 15 Abstract and Applied Analysis 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Journal of Applied Mathematics 14 International Journal of Applied and Computational Mathematics 13 Mathematical Methods in the Applied Sciences 13 Numerical Methods for Partial Differential Equations 13 Physics of Fluids 13 Chaos 12 Multiscale Modeling & Simulation 12 Computational & Mathematical Methods in Medicine 11 Studies in Applied Mathematics 11 Applied Mathematics Letters 11 Computational Geosciences 10 International Journal of Mathematics and Mathematical Sciences 10 International Journal for Numerical Methods in Engineering 10 Monatshefte für Mathematik 10 Nonlinear Dynamics 9 International Journal of Modern Physics B 9 Applicable Analysis 9 Journal of Fluid Mechanics 9 Journal of Dynamics and Differential Equations 9 SIAM Journal on Applied Dynamical Systems 8 Wave Motion 8 Journal of Nonlinear Mathematical Physics 8 Journal of Evolution Equations 8 Mathematical Modelling of Natural Phenomena 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 Mathematical Population Studies 7 Journal of Applied Mathematics and Computing 6 Journal of Engineering Mathematics 6 Computational Mathematics and Mathematical Physics 6 Numerical Linear Algebra with Applications 6 Mathematical Problems in Engineering 6 Journal of Applied Analysis and Computation 5 Nonlinearity 5 Physics Letters. A 5 BIT 5 Quarterly of Applied Mathematics 5 Chinese Annals of Mathematics. Series B 5 SIAM Journal on Applied Mathematics 5 Advances in Computational Mathematics 5 Complexity 5 Boundary Value Problems 5 Advances in Mathematical Physics 5 International Journal of Differential Equations 5 Journal of Computational Dynamics 4 Journal of Statistical Physics 4 Letters in Mathematical Physics 4 Physics of Fluids, A 4 Ricerche di Matematica 4 COMPEL 4 Journal of Mathematical Imaging and Vision 4 Computational and Applied Mathematics 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 International Journal of Computational Fluid Dynamics ...and 223 more Serials
all top 5

#### Cited in 50 Fields

 1,111 Partial differential equations (35-XX) 796 Biology and other natural sciences (92-XX) 790 Numerical analysis (65-XX) 541 Fluid mechanics (76-XX) 442 Ordinary differential equations (34-XX) 403 Dynamical systems and ergodic theory (37-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 74 Mechanics of deformable solids (74-XX) 63 Probability theory and stochastic processes (60-XX) 53 Systems theory; control (93-XX) 48 Optics, electromagnetic theory (78-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Classical thermodynamics, heat transfer (80-XX) 44 Statistics (62-XX) 41 Geophysics (86-XX) 37 Statistical mechanics, structure of matter (82-XX) 32 Computer science (68-XX) 24 Approximations and expansions (41-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Mechanics of particles and systems (70-XX) 18 Information and communication theory, circuits (94-XX) 17 Operations research, mathematical programming (90-XX) 15 Operator theory (47-XX) 13 Quantum theory (81-XX) 11 Real functions (26-XX) 11 Integral equations (45-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Differential geometry (53-XX) 9 Difference and functional equations (39-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-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 Measure and integration (28-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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