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Hyman, James M.

Co-Author Distance

Author ID:: hyman.james-m
Published as:: Hyman, James M.;Hyman, J. M.;Hyman, J.;Hyman, Jamesmore...less
Homepage:: https://hymanlab.github.io/TU-Modeling-Lab/index.html
External Links:: MGP ·ORCID ·Wikidata ·Google Scholar ·ResearchGate ·dblp ·GND ·IdRef

Documents Indexed:

105 Publications since 1976, including1 Additional arXiv Preprint

7 Contributions as Editor

Software Indexed:

1 Package

Co-Authors:

125 Co-Authors with 104 Joint Publications

3,832 Co-Co-Authors

all top 5

Co-Authors

8	single-authored
13	Li, Jia
13	Shashkov, Mikhail J.
10	Chowell, Gerardo
6	Castillo-Chavez, Carlos
6	Manore, Carrie A.
6	Steinberg, Stanly L.
5	Stanley, E. Ann
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

all top 5

Serials

9	Computers & Mathematics with Applications
9	Physica D
9	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	Lectures in Applied Mathematics
1	Journal of Complex Networks

all top 5

Fields

52	Biology and other natural sciences (92-XX)
42	Numerical analysis (65-XX)
36	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)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

103 Publications have been cited 4,631 times in3,975 Documents	Cited by ▼	Year ▼
A new integrable shallow water equation. Zbl 0808.76011 Camassa, Roberto;Holm, Darryl D.;Hyman, James M.	544	1994
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.	511	2008
Compactons: Solitons with finite wavelength. Zbl 0952.35502 Rosenau, P.;Hyman, J. M.	500	1993
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049 Harten, Ami;Hyman, James M.	236	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	219	2003
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047 Chitnis, Nakul;Cushing, J. M.;Hyman, J. M.	176	2006
The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030 Hyman, James M.;Li, Jia;Stanley, E. Ann	146	1999
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033 Hyman, James M.;Nicolaenko, Basil	137	1986
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070 Harten, Amiram;Hyman, J. M.;Lax, Peter D.	125	1976
Principles of mimetic discretizations of differential operators. Zbl 1110.65103 Bochev, Pavel B.;Hyman, James M.	109	2006
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials. Zbl 0881.65093 Hyman, James;Shashkov, Mikhail;Steinberg, Stanly	103	1997
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.	91	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.	85	2004
Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025 Hyman, James M.;Stanley, E. Ann	82	1988
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065 Hyman, James M.;Nicolaenko, Basil;Zaleski, Stéphane	81	1986
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids. Zbl 0868.65006 Hyman, J. M.;Shashkov, M.	71	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.	62	2007
Numerical methods for tracking interfaces. Zbl 0604.65092 Hyman, James M.	62	1984
Mimetic finite difference methods for diffusion equations. Zbl 1023.76033 Hyman, J.;Morel, J.;Shashkov, M.;Steinberg, S.	60	2002
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations. Zbl 0962.92033 Hyman, James M.;Li, Jia	57	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	53	1997
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015 Hyman, James M.;Shashkov, Mikhail	52	1999
Comparing dengue and chikungunya emergence and endemic transmission inA. aegypti andA. albopictus. Zbl 1412.92292 Manore, Carrie A.;Hickmann, Kyle S.;Xu, Sen;Wearing, Helen J.;Hyman, James M.	52	2014
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.	51	2006
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077 Hyman, James M.;Shashkov, Mikhail	46	1998
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039 Del Valle, S.;Hethcote, H.;Hyman, J. M.;Castillo-Chavez, C.	41	2005
Accurate monotonicity preserving cubic interpolation. Zbl 0533.65004 Hyman, James M.	41	1983
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004 Dougherty, Randall L.;Edelman, Alan;Hyman, James M.	35	1989
Approximation of boundary conditions for mimetic finite-difference methods. Zbl 0932.65111 Hyman, J. M.;Shashkov, M.	32	1998
Differential susceptibility epidemic models. Zbl 1066.92044 Hyman, James M.;Li, Jia	31	2005
Modeling the effectiveness of isolation strategies in preventing STD epidemics. Zbl 0905.92027 Hyman, James M.;Li, Jia	31	1998
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072 Moulton, J. David;Dendy, Joel E. jun.;Hyman, James M.	30	1998
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089 Hyman, James M.;Knapp, Robert J.;Scovel, James C.	29	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	29	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	28	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.	26	2013
Two-sex mosquito model for the persistence ofWolbachia. Zbl 1447.92493 Xue, Ling;Manore, Carrie A.;Thongsripong, Panpim;Hyman, James M.	24	2017
Nonlinear waves and solitons in physical systems. Zbl 0939.35159 Camassa, Roberto;Hyman, James M.;Luce, Benjamin P.	23	1998
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.	22	1978
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
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034 Hyman, James M.;Li, Jia	22	2006
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001 Arriola, Leon;Hyman, James M.	21	2009
Epidemiological models for mutating pathogens. Zbl 1088.34045 Li, Jia;Zhou, Yican;Ma, Zhien;Hyman, James M.	21	2004
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002	21	2009
The reproductive number for an HIV model with differential infectivity and staged progression. Zbl 1062.92060 Hyman, James M.;Li, Jia	20	2005
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.	19	2001
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	17	2020
Modeling the transmission ofWolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107 Qu, Zhuolin;Xue, Ling;Hyman, James M.	16	2018
Behavior changes in SIS STD models with selective mixing. Zbl 0886.34046 Hyman, James M.;Li, Jia	16	1997
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 convergence of mimetic discretization for rough grids. Zbl 1070.65114 Hyman, J. M.;Steinberg, S.	14	2004
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	14	2013
Periodic solutions of a logistic difference equation. Zbl 0351.39001 Hoppensteadt, F. C.;Hyman, J. M.	13	1977
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
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017 Hyman, James M.;Stanley, E. Ann	12	1989
Mesh refinement and local inversion of elliptic partial differential equations. Zbl 0346.65048 Hyman, James M.	12	1977
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
On Davydov’s alpha-helix solitons. Zbl 1194.37175 Hyman, J. M.;McLaughlin, D. W.;Scott, A. C.	10	1981
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021 Hyman, James M.;Li, Jia	10	2007
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
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066 Hyman, J. M.	9	1978
Disease transmission models with biased partnership selection. Zbl 0878.92024 Hyman, James M.;Li, Jia	9	1997
Coherence and chaos in the Kuramoto-Velarde equation. Zbl 0655.76043 Hyman, James M.;Nicolaenko, Basil	9	1987
Pulsating multiplet solutions of quintic wave equations. Zbl 0938.35168 Hyman, James M.;Rosenau, Philip	8	1998
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
The numerical differentiation of discrete functions using polynomial interpolation methods. Zbl 0493.65007 Hyman, James M.;Larrouturou, Bernard	8	1982
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004	7	2016
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
Identifying coherent structures in nonlinear wave propagation. Zbl 0900.35320 Newman, William I.;Campbell, David K.;Hyman, James M.	7	1991
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
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028 Hyman, James M.;Li, Jia	7	2009
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
Plasma diffusion across a magnetic field. Zbl 0588.76164 Rosenau, Philip;Hyman, James M.	6	1986
An algorithm for aligning a quadrilateral grid with internal boundaries. Zbl 0963.65121 Hyman, James M.;Li, Shengtai;Knupp, Patrick;Shashkov, Mikhail	5	2000
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100 Li, Shentai;Petzold, Linda R.;Hyman, James M.	5	2003
Dynamic rezone methods for partial differential equations in one space dimension. Zbl 0678.65085 Hyman, James M.;Larrouturou, Bernard	5	1989
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
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016 Hyman, J. M.;Stanley, E. A.	4	1996
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
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
Moving mesh methods for partial differential equations. Zbl 0647.65063 Hyman, James M.	3	1988
Numerical methods for nonlinear differential equations. Zbl 0486.65057 Hyman, James M.	3	1982
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field. Zbl 0612.35071 Hyman, James M.;Rosenau, Philip	3	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.	3	2007
Mimetic discretization for Maxwell’s equations and the equations of magnetic diffusion. Zbl 0949.78021 Hyman, James M.;Shashkov, Mikhail	2	1998
A divide-and-conquer algorithm for grid generation. Zbl 0803.65115 Dougherty, Randall L.;Hyman, James M.	2	1994
Modeling the impact of behavior change on the spread of Ebola. Zbl 1347.92085 Conrad, Jessica R.;Xue, Ling;Dewar, Jeremy;Hyman, James M.	2	2016
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	2	2022
Modelling HIV/AIDS and monkeypox co-infection. Zbl 1245.92048 Bhunu, C. P.;Mushayabasa, S.;Hyman, J. M.	1	2012
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
Biased preference models for partnership formation. Zbl 0846.92024 Hyman, James M.;Li, Jia	1	1996
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094 Xin, Jack X.;Hyman, James M.	1	2000
Preface. Zbl 1298.00145	1	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
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033 Hyman, James M.;Manteuffel, Thomas A.	1	1984
Multi-grid and ICCG for problems with interfaces. Zbl 0509.65046 Dendy, J. E. jun.;Hyman, J. M.	1	1981
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
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
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	2	2022
Modeling spatial waves ofWolbachia 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	17	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 ofWolbachia in mosquitoes for controlling mosquito-borne diseases. Zbl 1392.92107 Qu, Zhuolin;Xue, Ling;Hyman, James M.	16	2018
Two-sex mosquito model for the persistence ofWolbachia. Zbl 1447.92493 Xue, Ling;Manore, Carrie A.;Thongsripong, Panpim;Hyman, James M.	24	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
Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Zbl 1351.92004	7	2016
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
Modeling the impact of behavior change on the spread of Ebola. Zbl 1347.92085 Conrad, Jessica R.;Xue, Ling;Dewar, Jeremy;Hyman, James M.	2	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 inA. aegypti andA. albopictus. Zbl 1412.92292 Manore, Carrie A.;Hickmann, Kyle S.;Xu, Sen;Wearing, Helen J.;Hyman, James M.	52	2014
Preface. Zbl 1298.00145	1	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.	26	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	14	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
Modelling HIV/AIDS and monkeypox co-infection. Zbl 1245.92048 Bhunu, C. P.;Mushayabasa, S.;Hyman, J. M.	1	2012
Sensitivity analysis for uncertainty quantification in mathematical models. Zbl 1345.92001 Arriola, Leon;Hyman, James M.	21	2009
Mathematical and statistical estimation approaches in epidemiology. Zbl 1166.92002	21	2009
Epidemic models with differential susceptibility and staged progression and their dynamics. Zbl 1167.92028 Hyman, James M.;Li, Jia	7	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.	511	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.	62	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.	176	2006
Principles of mimetic discretizations of differential operators. Zbl 1110.65103 Bochev, Pavel B.;Hyman, James M.	109	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.	51	2006
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034 Hyman, James M.;Li, Jia	22	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.	41	2005
Differential susceptibility epidemic models. Zbl 1066.92044 Hyman, James M.;Li, Jia	31	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.	91	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.	85	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	219	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	28	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.	5	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.	19	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	57	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	146	1999
Mimetic discretizations for Maxwell’s equations. Zbl 0956.78015 Hyman, James M.;Shashkov, Mikhail	52	1999
The orthogonal decomposition theorems for mimetic finite difference methods. Zbl 0972.65077 Hyman, James M.;Shashkov, Mikhail	46	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	31	1998
The black box multigrid numerical homogenization algorithm. Zbl 0933.76072 Moulton, J. David;Dendy, Joel E. jun.;Hyman, James M.	30	1998
Nonlinear waves and solitons in physical systems. Zbl 0939.35159 Camassa, Roberto;Hyman, James M.;Luce, Benjamin P.	23	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.	71	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	16	1997
Disease transmission models with biased partnership selection. Zbl 0878.92024 Hyman, James M.;Li, Jia	9	1997
Heterosexual spread of HIV with biased sexual partner selection. Zbl 0851.92016 Hyman, J. M.;Stanley, E. A.	4	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.	544	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.	500	1993
High order finite volume approximations of differential operators on nonuniform grids. Zbl 0790.65089 Hyman, James M.;Knapp, Robert J.;Scovel, James C.	29	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.	35	1989
The effect of social mixing patterns on the spread of AIDS. Zbl 0684.92017 Hyman, James M.;Stanley, E. Ann	12	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	82	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	9	1987
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033 Hyman, James M.;Nicolaenko, Basil	137	1986
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces. Zbl 0621.76065 Hyman, James M.;Nicolaenko, Basil;Zaleski, Stéphane	81	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
Dynamic acceleration of nonlinear iterations. Zbl 0594.65033 Hyman, James M.;Manteuffel, Thomas A.	1	1984
Future directions in large scale scientific computing. Zbl 0546.68015 Hyman, James M.	1	1984
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. Zbl 0565.65049 Harten, Ami;Hyman, James M.	236	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.	3	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.	22	1978
Time evolution of almost periodic solutions of the KdV equation. Zbl 0407.35066 Hyman, J. M.	9	1978
...and 3 more Documents

all cited Publications top 5 cited Publications

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Cited by 5,997 Authors

82	Wazwaz, Abdul-Majid Abdul-Rahman
44	Kevrekidis, Ioannis George
44	Yin, Zhaoyang
41	Hyman, James M.
33	Li, Jibin
30	Tian, Lixin
28	Shashkov, Mikhail J.
25	Gumel, Abba B.
25	Zhou, Shouming
20	Lipnikov, Konstantin N.
20	Liu, Yue
20	Rosenau, Philip S.
18	Castillo-Chavez, Carlos
18	Chowell, Gerardo
18	Manzini, Gianmarco
18	Qiao, Zhijun (George)
18	Yan, Zhenya
17	Chen, Guanrong
17	Gerritsma, Marc I.
17	Jiang, Daqing
17	Ruan, Shigui
16	Siettos, Constantinos I.
15	Brezzi, Franco
15	Castillo, José E.
15	Mukandavire, Zindoga
15	Tchuenche, Jean Michel
15	Wu, Xinglong
14	Inc, Mustafa
14	Li, Xuezhi
14	Lubuma, Jean Mbaro-Saman
13	Beirão da Veiga, Lourenço
13	Bowong, Samuel
13	Nyabadza, Farai
13	Samaey, Giovanni
13	Wang, Haiquan
13	Xue, Ling
12	Bochev, Pavel B.
12	Garira, Winston S.
12	Luboobi, Livingstone Serwadda
12	Martcheva, Maia
12	Ngonghala, Calistus N.
12	Parés Madroñal, Carlos
12	Wang, Hao
12	Wang, Jinliang
12	Yin, Jiuli
11	Antonietti, Paola Francesca
11	Guan, Chunxia
11	Jin, Zhen
11	Qu, Changzheng
11	Torres, Delfim Fernando Marado
11	Villatoro, Francisco R.
11	Yan, Kai
11	Zhao, Hongyong
10	Agusto, Folashade B.
10	Chen, Aiyong
10	Gandarias Núñez, Maria Luz
10	Garcia-Navarro, Pilar
10	Ghosh, Mini
10	Kar, Tapan Kumar
10	Kutz, J. Nathan
10	Li, Jia
10	Li, Nianhua
10	Liu, Xingxing
10	Liu, Zhengrong
10	Makinde, Oluwole Daniel
10	Mu, Chunlai
10	Mushayabasa, Steady
10	Palha, Artur
10	Rong, Libin
10	Shen, Chunyu
10	Teng, Zhi-dong
10	van den Driessche, Pauline
10	Wang, Xiunan
10	Zou, Qingsong
9	Bhunu, Claver Pedzisai
9	Dutykh, Denys
9	Edwards, Michael G.
9	Feng, Zhilan
9	Gurski, Katharine F.
9	Lai, Shaoyong
9	Murillo, Javier
9	Nie, Linfei
9	Osher, Stanley Joel
9	Rus, Francisco
9	Russo, Alessandro
9	Teboh-Ewungkem, Miranda I.
9	Yee, Helen C.
9	Zhang, Tailei
9	Zhu, Huaiping
9	Zhu, Min
8	Anco, Stephen C.
8	Bekir, Ahmet
8	Browne, Cameron J.
8	Bruzón, Maria Santos
8	Camassa, Roberto
8	Castro, Manuel J.
8	Engquist, Bjorn E.
8	Hu, Xiaozhe
8	Jana, Soovoojeet
8	Kamgang, Jean-Claude
...and 5,897 more Authors

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Cited in 437 Serials

339	Journal of Computational Physics
179	Applied Mathematics and Computation
132	Mathematical Biosciences
108	Chaos, Solitons and Fractals
95	Physica D
86	Bulletin of Mathematical Biology
86	Journal of Theoretical Biology
68	Communications in Nonlinear Science and Numerical Simulation
65	Mathematics and Computers in Simulation
65	Mathematical Biosciences and Engineering
64	Computers & Mathematics with Applications
63	Journal of Mathematical Biology
62	Mathematical Methods in the Applied Sciences
61	Computer Methods in Applied Mechanics and Engineering
61	Journal of Scientific Computing
60	Journal of Biological Dynamics
58	Journal of Computational and Applied Mathematics
55	Computers and Fluids
55	Journal of Differential Equations
54	Physics Letters. A
54	Nonlinear Analysis. Real World Applications
48	Applied Numerical Mathematics
48	International Journal of Biomathematics
46	Journal of Mathematical Analysis and Applications
43	Applied Mathematical Modelling
40	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
37	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37	Journal of Biological Systems
34	Discrete and Continuous Dynamical Systems. Series B
33	International Journal for Numerical Methods in Fluids
31	Journal of Mathematical Physics
31	Mathematical and Computer Modelling
31	Journal of Nonlinear Mathematical Physics
30	Mathematics of Computation
30	Advances in Difference Equations
29	Chaos
28	Journal of Applied Mathematics
28	Journal of Applied Mathematics and Computing
25	Discrete Dynamics in Nature and Society
24	Physica A
24	Monatshefte für Mathematik
24	Journal of Nonlinear Science
22	Journal of Applied Analysis and Computation
21	Numerische Mathematik
20	SIAM Journal on Scientific Computing
20	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
19	Applicable Analysis
19	SIAM Journal on Numerical Analysis
19	Studies in Applied Mathematics
19	Applied Mathematics Letters
19	International Journal of Computer Mathematics
19	Nonlinear Dynamics
19	Computational & Mathematical Methods in Medicine
18	Discrete and Continuous Dynamical Systems
18	Abstract and Applied Analysis
18	Multiscale Modeling & Simulation
17	Computer Physics Communications
17	Numerical Methods for Partial Differential Equations
16	International Journal of Applied and Computational Mathematics
15	ZAMP. Zeitschrift für angewandte Mathematik und Physik
15	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15	Journal of Dynamics and Differential Equations
15	Discrete and Continuous Dynamical Systems. Series S
14	International Journal for Numerical Methods in Engineering
13	Wave Motion
13	Physics of Fluids
12	International Journal of Modern Physics B
12	SIAM Journal on Applied Mathematics
12	Computational Geosciences
11	Journal of Fluid Mechanics
11	Nonlinearity
11	International Journal of Mathematics and Mathematical Sciences
11	Computational and Applied Mathematics
11	Qualitative Theory of Dynamical Systems
11	SIAM Journal on Applied Dynamical Systems
11	Mathematical Modelling of Natural Phenomena
10	Mathematical Population Studies
10	Journal of Evolution Equations
9	Communications in Mathematical Physics
9	Journal of Geometry and Physics
9	International Journal of Nonlinear Sciences and Numerical Simulation
8	Advances in Mathematics
8	Theoretical Population Biology
8	International Journal of Computational Fluid Dynamics
8	Boundary Value Problems
8	Journal of Computational Dynamics
7	Journal of Functional Analysis
7	Chinese Annals of Mathematics. Series B
7	Numerical Linear Algebra with Applications
7	Advances in Computational Mathematics
7	Mathematical Problems in Engineering
7	Journal of Physics A: Mathematical and Theoretical
6	Journal of Engineering Mathematics
6	Letters in Mathematical Physics
6	Mathematische Nachrichten
6	Quarterly of Applied Mathematics
6	Ricerche di Matematica
6	Numerical Algorithms
6	Computational Mathematics and Mathematical Physics
6	Journal of Mathematical Imaging and Vision
...and 337 more Serials

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Cited in 55 Fields

1,620	Partial differential equations (35-XX)
1,439	Biology and other natural sciences (92-XX)
1,066	Numerical analysis (65-XX)
795	Ordinary differential equations (34-XX)
764	Fluid mechanics (76-XX)
654	Dynamical systems and ergodic theory (37-XX)
157	Calculus of variations and optimal control; optimization (49-XX)
124	Probability theory and stochastic processes (60-XX)
108	Mechanics of deformable solids (74-XX)
97	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
95	Systems theory; control (93-XX)
85	Statistics (62-XX)
75	Computer science (68-XX)
72	Optics, electromagnetic theory (78-XX)
67	Statistical mechanics, structure of matter (82-XX)
56	Classical thermodynamics, heat transfer (80-XX)
51	Geophysics (86-XX)
38	Global analysis, analysis on manifolds (58-XX)
38	Quantum theory (81-XX)
36	Mechanics of particles and systems (70-XX)
32	Approximations and expansions (41-XX)
30	Operations research, mathematical programming (90-XX)
26	Operator theory (47-XX)
25	Real functions (26-XX)
25	Information and communication theory, circuits (94-XX)
22	Integral equations (45-XX)
15	Difference and functional equations (39-XX)
15	Differential geometry (53-XX)
11	Combinatorics (05-XX)
10	Harmonic analysis on Euclidean spaces (42-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
8	Functions of a complex variable (30-XX)
8	Relativity and gravitational theory (83-XX)
6	Astronomy and astrophysics (85-XX)
5	Special functions (33-XX)
4	General and overarching topics; collections (00-XX)
3	History and biography (01-XX)
3	Nonassociative rings and algebras (17-XX)
3	Measure and integration (28-XX)
3	Functional analysis (46-XX)
3	Algebraic topology (55-XX)
2	Mathematical logic and foundations (03-XX)
2	Algebraic geometry (14-XX)
2	Integral transforms, operational calculus (44-XX)
2	Convex and discrete geometry (52-XX)
1	Field theory and polynomials (12-XX)
1	Commutative algebra (13-XX)
1	Associative rings and algebras (16-XX)
1	Topological groups, Lie groups (22-XX)
1	Potential theory (31-XX)
1	Sequences, series, summability (40-XX)
1	Geometry (51-XX)
1	General topology (54-XX)
1	Manifolds and cell complexes (57-XX)
1	Mathematics education (97-XX)

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