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Banks, Harvey Thomas

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Author ID: banks.harvey-thomas Recent zbMATH articles by "Banks, Harvey Thomas"
Published as: Banks, H. T.; Banks, H. Thomas; Banks, Harvey Thomas
Homepage: https://projects.ncsu.edu/crsc/htbanks/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 348 Publications since 1968, including 10 Books
all top 5

Co-Authors

25 single-authored
30 Hu, Shuhua
20 Tran, Hien T.
17 Smith, Ralph C.
16 Ito, Kazufumi
13 Thompson, W. Clayton
12 Flores, Kevin B.
12 Pinter, Gabriella A.
11 Rosen, I. Gary
11 Sutton, Karyn L.
11 Wang, Yun
10 Medhin, Negash G.
9 Banks, John E.
9 Kappel, Franz
9 Kepler, Grace M.
8 Castillo-Chavez, Carlos
8 Jacobs, Marc Q.
8 Potter, Laura K.
7 Bokil, Vrushali A.
7 Burns, John A.
7 Catenacci, Jared
7 Cioranescu, Doina
7 Gibson, Nathan L.
7 Kenz, Zackary R.
7 Rosenberg, Eric S.
7 Winfree, William P.
6 Ernstberger, Stacey L.
6 Nguyen, Hoan K.
6 Raye, Julie K.
6 Wang, Chuyue
5 Davidian, Marie-Louise
5 Davis, Jimena L.
5 Everett, R. A.
5 Fitzpatrick, Ben G.
5 Joyner, Michele L.
5 Kojima, Fumio
5 Kruse, Carola
5 Kunisch, Karl
5 Link, Kathryn G.
5 Murphy, Katherine A.
5 Rehm, Keri L.
4 Ackleh, Azmy S.
4 Bekele-Maxwell, Kidist
4 Cintrón-Arias, Ariel
4 Criner, Amanda Keck
4 Dediu, Sava
4 Fabiano, Richard H.
4 Holm, Kathleen J.
4 Kwon, Hee-Dae
4 Lybeck, Nancy J.
4 Manitius, Andrzej Z.
4 Meyerhans, Andreas
4 Murad, Neha
4 Poag, Laura
4 Reich, Simeon
4 Stark, John D.
4 Zhang, Yue
3 Adams, Brandi M.
3 Adoteye, Kaska
3 Argilaguet, Jordi
3 Beeler, S. C.
3 Birch, Malcolm J.
3 Bociu, Lorena
3 Bortz, David M.
3 Brewin, Mark P.
3 Cliff, Eugene M.
3 Demetriou, Michael A.
3 Dhar, Arun K.
3 Doumic, Marie
3 Huffman, Tori
3 Kareiva, P. M.
3 Lamm, P. K. Daniel
3 Langenhop, Carl Eric
3 LeBlanc, Gerald A.
3 Lloyd, Alun L.
3 Musante, C. J.
3 Nardini, John T.
3 Peligero, Cristina
3 Rebnord, D. A.
3 Robbins, Danielle
3 Rosenheim, Jay A.
3 Samuels, John R. jun.
3 Toivanen, J. A.
3 Whiteman, John Robert
3 Wynne, S. N.
2 Albanese, Richard A.
2 Artimovich, Elena
2 Baraldi, Robert
2 Bardsley, Johnathan M.
2 Bihari, Kathleen L.
2 Blasco, Bernat
2 Bocharov, Gennady A.
2 Browdy, C. L.
2 Buksas, Michael W.
2 Chowell, Gerardo
2 Cross, Karissa
2 Crowley, James M.
2 David, John E.
2 del Rosario, Ricardo C. H.
2 Deng, Keng
2 Diez, Juana
...and 186 more Co-Authors
all top 5

Serials

25 Journal of Inverse and Ill-Posed Problems
19 Applied Mathematics Letters
19 Mathematical Biosciences and Engineering
17 Quarterly of Applied Mathematics
16 Mathematical and Computer Modelling
11 Inverse Problems
11 SIAM Journal on Control and Optimization
9 International Journal of Pure and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
8 Journal of Biological Dynamics
7 Journal of Mathematical Biology
6 Bulletin of Mathematical Biology
6 Nonlinear Analysis. Real World Applications
5 Mathematical Biosciences
5 IEEE Transactions on Automatic Control
5 Numerical Functional Analysis and Optimization
5 Dynamic Systems and Applications
5 Inverse Problems in Science and Engineering
5 SIAM Journal on Control
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 Journal of Mathematical Systems, Estimation, and Control
4 Mathematical Modelling of Natural Phenomena
3 Optimal Control Applications & Methods
3 Differential and Integral Equations
3 Computational and Applied Mathematics
3 Frontiers in Applied Mathematics
3 Journal of Theoretical Biology
3 SIAM/ASA Journal on Uncertainty Quantification
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Mathematical Modelling
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 Matemática Aplicada e Computacional
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Applied Mechanics
1 Journal of Computational Physics
1 Matimyás Matematika
1 Applied Mathematics and Optimization
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Portugaliae Mathematica
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 SIAM Journal on Scientific and Statistical Computing
1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Numerical Mathematics
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Applied Mathematical Modelling
1 International Journal of Robust and Nonlinear Control
1 Computational Optimization and Applications
1 Methods and Applications of Analysis
1 Discrete and Continuous Dynamical Systems
1 Communications on Applied Nonlinear Analysis
1 Mathematical Problems in Engineering
1 Applied Mechanics and Engineering
1 Journal of Biological Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA)
1 Multiscale Modeling & Simulation
1 Bulletin of the American Mathematical Society
1 Lecture Notes in Biomathematics
1 Systems & Control: Foundations & Applications
1 Communications in Computational Physics
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Numerical Mathematics: Theory, Methods and Applications
1 The Arabian Journal for Science and Engineering (AJSE). Mathematics
1 Mathematical Control and Related Fields
1 Nonlinear Analysis. Theory, Methods & Applications
1 Monographs and Research Notes in Mathematics
1 Textbooks in Mathematics

Publications by Year

Citations contained in zbMATH

282 Publications have been cited 2,660 times in 1,519 Documents Cited by Year
Estimation techniques for distributed parameter systems. Zbl 0695.93020
Banks, H. T.; Kunisch, K.
178
1989
Hereditary control problems: Numerical methods based on averaging approximations. Zbl 0379.49025
Banks, H. T.; Burns, J. A.
108
1978
A differential calculus for multifunctions. Zbl 0191.43302
Banks, H. T.; Jacobs, Q. M.
80
1970
Smart material structures. Modeling, estimation and control. Zbl 0882.93001
Banks, H. T.; Smith, R. C.; Wang, Y.
74
1996
Spline approximations for functional differential equations. Zbl 0422.34074
Banks, H. T.; Kappel, F.
65
1979
HIV dynamics: Modeling, data analysis, and optimal treatment protocols. Zbl 1075.92030
Adams, B. M.; Banks, H. T.; Davidian, M.; Kwon, Hee-Dae; Tran, H. T.; Wynne, S. N.; Rosenberg, E. S.
53
2005
Dynamic multidrug therapies for HIV: Optimal and STI control approaches. Zbl 1060.92034
Adams, B. M.; Banks, H. T.; Kwon, Hee-Dae; Tran, Hien T.
52
2004
The linear regulator problem for parabolic systems. Zbl 0548.49017
Banks, H. T.; Kunisch, K.
47
1984
Modeling and inverse problems in the presence of uncertainty. Zbl 1296.00029
Banks, H. T.; Hu, Shuhua; Thompson, W. Clayton
44
2014
Incorporation of variability into the modeling of viral delays in HIV infection dynamics. Zbl 1011.92037
Banks, H. T.; Bortz, D. M.; Holte, S. E.
41
2003
Necessary conditions for control problems with variable time lags. Zbl 0159.13002
Banks, H. T.
38
1968
Representations for solutions of linear functional differential equations. Zbl 0165.42701
Banks, H. T.
35
1969
Parameter estimation and identification for systems with delays. Zbl 0504.93019
Banks, H. T.; Burns, J. A.; Cliff, E. M.
33
1981
Mathematical and experimental modeling of physical and biological processes. With CD-ROM. Zbl 1402.00037
Banks, H. T.; Tran, H. T.
32
2009
Control of functional differential equations of retarded and neutral type to target sets in function space. Zbl 0266.49014
Banks, H. T.; Kent, G. A.
32
1972
Exponentially stable approximations of weakly damped wave equations. Zbl 0850.93719
Banks, H. T.; Ito, Kazufumi; Wang, C.
31
1991
Statistical methods for model comparison in parameter estimation problems for distributed systems. Zbl 0732.62061
Banks, H. T.; Fitzpatrick, B. G.
30
1990
Approximation of nonlinear functional differential equation control systems. Zbl 0387.49040
Banks, H. T.
29
1979
Modeling and control in the biomedical sciences. Zbl 0315.92001
Banks, H. T.
29
1975
Modelling and estimating uncertainty in parameter estimation. Zbl 1054.35121
Banks, H. T.; Bihari, Kathleen L.
27
2001
A parameter sensitivity methodology in the context of HIV delay equation models. Zbl 1083.92025
Banks, H. T.; Bortz, D. M.
26
2005
Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts. Zbl 1008.78500
Banks, H. T.; Buksas, M. W.; Lin, T.
26
2000
On damping mechanisms in beams. Zbl 0741.73030
Banks, H. T.; Inman, D. J.
26
1991
Boundary estimation problems arising in thermal tomography. Zbl 0749.65080
Banks, H. T.; Kojima, Fumio; Winfree, W. P.
26
1990
Feedback control methodologies for nonlinear systems. Zbl 0971.49023
Beeler, S. C.; Tran, H. T.; Banks, H. T.
25
2000
Global asymptotic stability of certain models for protein synthesis and repression. Zbl 0406.92011
Banks, H. T.; Mahaffy, J. M.
25
1978
Well posedness for damped second order systems with unbounded input operators. Zbl 0817.35014
Banks, H. T.; Ito, Kazufumi; Wang, Y.
24
1995
Characterization of the controlled states in W\(_2^{(1)}\) of linear hereditary systems. Zbl 0269.93005
Banks, H. T.; Jacobs, Marc Q.; Langenhop, C. E.
24
1975
Application of abstract variational theory to hereditary systems - a survey. Zbl 0288.49004
Banks, H. T.; Manitius, Andrzej
24
1974
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
23
2009
Modelling HIV immune response and validation with clinical data. Zbl 1315.92050
Banks, H. T.; Davidian, M.; Hu, Shuhua; Kepler, Grace M.; Rosenberg, E. S.
23
2008
Estimation of variable coefficients in parabolic distributed systems. Zbl 0586.93007
Banks, H. T.; Lamm, Patricia Daniel
23
1985
Estimation and prediction with HIV-treatment interruption data. Zbl 1139.92304
Adams, B. M.; Banks, H. T.; Davidian, M.; Rosenberg, E. S.
22
2007
The modeling of piezoceramic patch interactions with shells, plates, and beams. Zbl 0832.73061
Banks, H. T.; Smith, R. C.; Wang, Yun
22
1995
The estimation of the effective reproductive number from disease outbreak data. Zbl 1166.62080
Cintrón-Arias, Ariel; Castillo-Chávez, Carlos; Bettencourt, Luís M. A.; Lloyd, Alun L.; Banks, H. T.
21
2009
Global solvability for damped abstract nonlinear hyperbolic systems. Zbl 0892.47063
Banks, H. T.; Gilliam, D. S.; Shubov, V. I.
21
1997
Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media. Zbl 1168.78314
Banks, H. T.; Bokil, V. A.; Gibson, N. L.
20
2009
Transformation semigroups and \(L^ 1\)-approximation for size structured population models. Zbl 0687.47033
Banks, H. T.; Kappel, F.
20
1989
Cubic spline approximation techniques for parameter estimation in distributed systems. Zbl 0529.93021
Banks, H. T.; Crowley, James M.; Kunisch, Karl
20
1983
A finite difference approximation for a coupled system of nonlinear size-structured populations. Zbl 1002.65093
Ackleh, Azmy S.; Banks, H. T.; Deng, Keng
19
2002
Nondestructive evaluation using a reduced-order computational methodology. Zbl 0960.35107
Banks, H. T.; Joyner, Michele L.; Wincheski, Buzz; Winfree, William P.
19
2000
Projection series for retarded functional differential equations with applications to optimal control problems. Zbl 0331.34059
Banks, H. T.; Manitius, Andrzej
18
1975
The optimization of trajectories of linear functional differential equations. Zbl 0246.49006
Banks, H. T.; Jacobs, Marc Q.
18
1970
Variational problems involving functional differential equations. Zbl 0175.39004
Banks, H. T.
18
1969
Estimation of cell proliferation dynamics using CFSE data. Zbl 1209.92012
Banks, H. T.; Sutton, Karyn L.; Thompson, W. Clayton; Bocharov, Gennady; Roose, Dirk
17
2011
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
17
2007
Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls. Zbl 1124.34002
Banks, H. T.; Ernstberger, S. L.; Grove, S. L.
17
2007
Estimation of growth rate distributions in size structured population models. Zbl 0731.92021
Banks, H. T.; Fitzpatrick, B. G.
17
1991
An attainable sets approach to optimal control of functional differential equations with function space terminal conditions. Zbl 0256.49044
Banks, H. T.; Jacobs, Marc Q.
17
1973
Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication. Zbl 1075.34084
Banks, H. T.; Cole, Cammey E.; Schlosser, Paul M.; Tran, Hien T.
16
2004
Boundary shape identification problems in two-dimensional domains related to thermal testing of materials. Zbl 0687.65109
Banks, H. T.; Kojima, Fumio
16
1989
An inverse problem statistical methodology summary. Zbl 1345.92006
Banks, H. Thomas; Davidian, Marie; Samuels, John R. jun.; Sutton, Karyn L.
15
2009
A numerical algorithm for optimal feedback gains in high dimensional linear quadratic regulator problems. Zbl 0736.65043
Banks, H. T.; Ito, Kazufumi
15
1991
An approximation theory for nonlinear partial differential equations with applications to identification and control. Zbl 0503.93016
Banks, H. T.; Kunisch, K.
15
1982
Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach. Zbl 1117.49032
Banks, H. T.; Lewis, B. M.; Tran, H. T.
14
2007
A spline based technique for computing Riccati operators and feedback controls in regulator problems for delay equations. Zbl 0553.65047
Banks, H. T.; Rosen, I. G.; Ito, Kazufumi
14
1984
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
13
2010
An approximation theory for the identification of nonlinear distributed parameter systems. Zbl 0722.47058
Banks, H. T.; Reich, Simeon; Rosen, I. G.
13
1990
Uncertainty quantification in modeling HIV viral mechanics. Zbl 1321.62020
Banks, H. T.; Baraldi, Robert; Cross, Karissa; Flores, Kevin; McChesney, Christina; Poag, Laura; Thorpe, Emma
12
2015
Well-posedness in Maxwell systems with distributions of polarization relaxation parameters. Zbl 1069.78006
Banks, H. T.; Gibson, N. L.
12
2005
A nonlinear beam equation. Zbl 1021.35128
Ackleh, A. S.; Banks, H. T.; Pinter, G. A.
12
2002
Approximation in LQR problems for infinite dimensional systems with unbounded input operators. Zbl 0894.93023
Banks, H. T.; Ito, Kazufumi
12
1997
Estimation of delays and other parameters in nonlinear functional differential equations. Zbl 0526.93015
Banks, H. T.; Lamm, P. K. Daniel
12
1983
Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides. Zbl 1296.92232
Banks, H. T.; Banks, John E.; Dick, Lara K.; Stark, John D.
11
2007
A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue. Zbl 1140.93313
Banks, H. T.; Pinter, Gabriella A.
11
2005
Real time computational algorithms for eddy-current-based damamge detection. Zbl 1104.65321
Banks, H. T.; Joyner, Michele I.; Wincheski, Buzz; Winfree, William P.
11
2002
Identification of hysteric control influence operators representing smart actuators. I: Formulation. Zbl 0934.93036
Banks, H. T.; Kurdila, A. J.; Webb, G.
11
1997
An abstract framework for approximate solutions to optimal control problems governed by hereditary systems. Zbl 0346.65027
Banks, H. T.; Burns, J. A.
11
1975
Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems. Zbl 06632630
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
10
2016
Nonlinear reptation in molecular based hysteresis models for polymers. Zbl 1070.35108
Banks, H. T.; Medhin, Negash G.; Pinter, Gabriella A.
10
2004
Parameter estimation techniques for transport equations with application to population dispersal and tissue bulk flow models. Zbl 0511.92008
Banks, H. T.; Kareiva, P.
10
1983
Convergence theorems for parameter estimation by quasilinearization. Zbl 0256.65032
Banks, H. T.; Groome, G. M. jun.
10
1973
A division-dependent compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays. Zbl 1259.92017
Banks, H. Thomas; Thompson, W. Clayton; Peligero, Cristina; Giest, Sandra; Argilaguet, Jordi; Meyerhans, Andreas
9
2012
Multiscale considerations in modeling of nonlinear elastomers. Zbl 1135.74010
Banks, H. T.; Medhin, Negash G.; Pinter, Gabriella A.
9
2007
Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters. Zbl 1124.35090
Banks, H. T.; Gibson, N. L.
9
2006
Homogenization of periodically varying coefficients in electromagnetic materials. Zbl 1109.78021
Banks, H. T.; Bokil, V. A.; Cioranescu, D.; Gibson, N. L.; Griso, G.; Miara, B.
9
2006
Parameter estimation in a coupled system of nonlinear size-structured populations. Zbl 1083.92031
Ackleh, Azmy S.; Banks, H. T.; Deng, Keng; Hu, Shuhua
9
2005
Bioterrorism. Mathematical modeling applications in homeland security. Zbl 1029.00020
Banks, H. T. (ed.); Castillo-Chavez, Carlos (ed.)
9
2003
Simulations of particle dynamics in magnetorheological fluids. Zbl 0953.76063
Ly, H. V.; Reitich, F.; Jolly, M. R.; Banks, H. T.; Ito, K.
9
1999
Well-posedness for a one dimensional nonlinear beam. Zbl 0833.93028
Banks, H. T.; Gilliam, David S.; Shubov, Victor I.
9
1995
Methods for the identification of material parameters in distributed models for flexible structures. Zbl 0631.93017
Banks, H. T.; Crowley, J. M.; Rosen, I. G.
9
1986
Stochastic and deterministic models for agricultural production networks. Zbl 1133.60341
Bai, P.; Banks, H. T.; Dediu, S.; Govan, A. Y.; Last, M.; Lloyd, A. L.; Nguyen, H. K.; Olufsen, M. S.; Rempala, G.; Slenning, B. D.
8
2007
A comparison of approximation methods for the estimation of probability distributions on parameters. Zbl 1115.65009
Banks, H. T.; Davis, Jimena L.
8
2007
Maxwell-systems with nonlinear polarization. Zbl 1041.78002
Banks, H. T.; Pinter, Gabriella A.
8
2003
Reduced order modeling and control of thin film growth in an HPCVD reactor. Zbl 1005.93022
Banks, H. T.; Beeler, S. C.; Kepler, G. M.; Tran, H. T.
8
2002
Reduced-order model feedback control design: Numerical implementation in a thin shell model. Zbl 0988.93030
Banks, H. T.; del Rosario, Ricardo C. H.; Smith, Ralph C.
8
2000
Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems. Zbl 0739.65098
Banks, H. T.; Reich, Simeon; Rosen, I. G.
8
1991
Statistical validation of structured population models for Daphnia magna. Zbl 1356.92068
Adoteye, Kaska; Banks, H. T.; Cross, Karissa; Eytcheson, Stephanie; Flores, Kevin B.; LeBlanc, Gerald A.; Nguyen, Timothy; Ross, Chelsea; Smith, Emmaline; Stemkovski, Michael; Stokely, Sarah
7
2015
Comparison of optimal design methods in inverse problems. Zbl 1271.62169
Banks, H. T.; Holm, K.; Kappel, F.
7
2011
Standard error computations for uncertainty quantification in inverse problems: asymptotic theory vs. bootstrapping. Zbl 1205.93170
Banks, H. T.; Holm, Kathleen; Robbins, Danielle
7
2010
HIV model analysis and estimation implementation under optimal control based treatment strategies. Zbl 1180.92037
David, John; Tran, Hien; Banks, H. T.
7
2009
Experimental design and estimation of growth rate distributions in size-structured shrimp populations. Zbl 1173.35720
Banks, H. T.; Davis, Jimena L.; Ernstberger, Stacey L.; Hu, Shuhua; Artimovich, Elena; Dhar, Arun K.
7
2009
Sensitivity of dynamical systems to Banach space parameters. Zbl 1103.93025
Banks, H. T.; Nguyen, Hoan K.
7
2006
Population dynamics models in plant - insect herbivore - pesticide interactions. Zbl 1071.92038
Adams, B. M.; Banks, H. T.; Banks, J. E.; Stark, J. D.
7
2005
Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections. Zbl 1092.78508
Albanese, R. A.; Banks, H. T.; Raye, J. K.
7
2002
Reduced order model compensator control of species transport in a CVD reactor. Zbl 1069.49508
Kepler, G. M.; Tran, H. T.; Banks, H. T.
7
2000
Feedback control of noise in a 2-D nonlinear structural acoustics model. Zbl 0872.93035
Banks, H. T.; Smith, R. C.
7
1995
A semigroup formulation of a nonlinear size-structured distributed rate population model. Zbl 0828.92024
Banks, H. T.; Kappel, F.; Wang, C.
7
1994
Numerical schemes for the estimation of functional parameters in distributed models for mixing mechanisms in lake and sea sediment cores. Zbl 0644.76047
Banks, H. T.; Rosen, I. G.
7
1987
The synthesis of optimal controls for linear, time-optimal problems with retarded controls. Zbl 0218.49006
Banks, H. T.; Jacobs, M. Q.; Latina, M. R.
7
1971
A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. Zbl 1404.92170
Banks, H. Thomas; Kabanikhin, Sergey I.; Krivorotko, Olga I.; Yermolenko, Darya V.
2
2018
Estimating intratumoral heterogeneity from spatiotemporal data. Zbl 1404.92104
Rutter, E. M.; Banks, H. T.; Flores, K. B.
1
2018
A multiscale method for computing effective parameters of composite electromagnetic materials with memory effects. Zbl 1395.74006
Bokil, V. A.; Banks, H. T.; Cioranescu, D.; Griso, G.
1
2018
Information content in data sets: a review of methods for interrogation and model comparison. Zbl 1391.34036
Banks, H. Thomas; Joyner, Michele L.
1
2018
Mathematical and statistical model misspecifications in modelling immune response in renal transplant recipients. Zbl 1390.92061
Banks, H. T.; Everett, R. A.; Hu, Shuhua; Murad, Neha; Tran, H. T.
1
2018
AIC under the framework of least squares estimation. Zbl 1376.62009
Banks, H. T.; Joyner, Michele L.
5
2017
Statistical error model comparison for logistic growth of Green algae (raphidocelis subcapitata). Zbl 06648501
Banks, H. T.; Collins, Elizabeth; Flores, Kevin; Pershad, Prayag; Stemkovski, Michael; Stephenson, Lyric
5
2017
Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data. Zbl 1372.49029
Banks, H. T.; Bekele-Maxwell, K.; Bociu, L.; Noorman, M.; Guidoboni, G.
4
2017
Continuous structured population models for Daphnia magna. Zbl 1382.92226
Rutter, Erica M.; Banks, H. T.; LeBlanc, Gerald A.; Flores, Kevin B.
2
2017
Dynamic modeling of problem drinkers undergoing behavioral treatment. Zbl 1372.92040
Banks, H. T.; Bekele-Maxwell, Kidist; Everett, R. A.; Stephenson, Lyric; Shao, Sijing; Morgenstern, Jon
2
2017
Sensitivity via the complex-step method for delay differential equations with non-smooth initial data. Zbl 1359.34080
Banks, H. T.; Bekele-Maxwell, Kidist; Bociu, Lorena; Wang, Chuyue
2
2017
A numerical scheme for the early steps of nucleation-aggregation models. Zbl 1357.82075
Banks, Harvey Thomas; Doumic, Marie; Kruse, Carola
2
2017
Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems. Zbl 06632630
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
10
2016
Parameter selection and verification techniques based on global sensitivity analysis illustrated for an HIV model. Zbl 1341.92080
Wentworth, Mami T.; Smith, Ralph C.; Banks, H. T.
4
2016
Parameter estimation using unidentified individual data in individual based models. Zbl 1384.92033
Banks, H. T.; Baraldi, R.; Catenacci, J.; Myers, N.
2
2016
An adaptive feedback methodology for determining information content in stable population studies. Zbl 1350.34024
Banks, H. T.; Banks, John E.; Everett, R. A.; Stark, John D.
1
2016
On analytical and numerical approaches to division and label structured population models. Zbl 1358.92038
Banks, H. T.; Flores, Kevin B.; Sindi, Suzanne S.
1
2016
Uncertainty quantification in modeling HIV viral mechanics. Zbl 1321.62020
Banks, H. T.; Baraldi, Robert; Cross, Karissa; Flores, Kevin; McChesney, Christina; Poag, Laura; Thorpe, Emma
12
2015
Statistical validation of structured population models for Daphnia magna. Zbl 1356.92068
Adoteye, Kaska; Banks, H. T.; Cross, Karissa; Eytcheson, Stephanie; Flores, Kevin B.; LeBlanc, Gerald A.; Nguyen, Timothy; Ross, Chelsea; Smith, Emmaline; Stemkovski, Michael; Stokely, Sarah
7
2015
Model comparison tests to determine data information content. Zbl 1311.62026
Banks, H. T.; Banks, J. E.; Link, Kathryn; Rosenheim, J. A.; Ross, Chelsea; Tillman, K. A.
6
2015
Immuno-modulatory strategies for reduction of HIV reservoir cells. Zbl 1342.92090
Banks, H. T.; Flores, Kevin B.; Hu, Shuhua; Rosenberg, Eric; Buzon, Maria; Yu, Xu; Lichterfeld, Matthias
5
2015
Optimal design of non-equilibrium experiments for genetic network interrogation. Zbl 1328.92013
Adoteye, Kaska; Banks, H. T.; Flores, Kevin B.
4
2015
Estimation of time-varying mortality rates using continuous models for Daphnia magna. Zbl 1354.92056
Adoteye, Kaska; Banks, H. T.; Flores, Kevin B.; LeBlanc, Gerald A.
3
2015
Optimal design for parameter estimation in EEG problems in a 3D multilayered domain. Zbl 1327.62119
Banks, H. T.; Rubio, D.; Saintier, N.; Troparevsky, M. I.
1
2015
Estimation of distributed parameters in permittivity models of composite dielectric materials using reflectance. Zbl 1332.78018
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
1
2015
Asymptotic properties of probability measure estimators in a nonparametric model. Zbl 1329.62159
Banks, H. T.; Catenacci, Jared; Hu, Shuhua
1
2015
Analysis of variability in estimates of cell proliferation parameters for cyton-based models using CFSE-based flow cytometry data. Zbl 1432.35201
Banks, H. Thomas; Kapraun, Dustin F.; Link, Kathryn G.; Thompson, W. Clayton; Peligero, Cristina; Argilaguet, Jordi; Meyerhans, Andreas
1
2015
Modeling and inverse problems in the presence of uncertainty. Zbl 1296.00029
Banks, H. T.; Hu, Shuhua; Thompson, W. Clayton
44
2014
High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling. Zbl 1352.65330
Banks, H. T.; Birch, Malcolm J.; Brewin, Mark P.; Greenwald, Stephen E.; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Maischak, Matthias; Shaw, Simon; Whiteman, John R.
3
2014
Experimental design for vector output systems. Zbl 1308.93026
Banks, H. T.
2
2014
Model validation for a noninvasive arterial stenosis detection problem. Zbl 1298.62186
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John; Brewin, Mark P.; Greenwald, Stephen E.; Birch, Malcolm J.
2
2014
Dynamic modeling of behavior change. Zbl 1292.91154
Banks, H. T.; Rehm, Keri L.; Sutton, Karyn L.; Davis, Christine; Hail, Lisa; Kuerbis, Alexis; Morgenstern, Jon
2
2014
Parameter selection methods in inverse problem formulation. Zbl 1400.92011
Banks, H. T.; Cintrón-Arias, Ariel; Kappel, Franz
6
2013
Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations. Zbl 1273.34083
Banks, H. Thomas; Robbins, Danielle; Sutton, Karyn L.
4
2013
Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: methodology. Zbl 1293.62052
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John R.; Brewin, Mark P.; Greenwald, Steve E.; Birch, Malcolm J.
4
2013
Quantifying CFSE label decay in flow cytometry data. Zbl 1257.92019
Banks, H. T.; Choi, A.; Huffman, T.; Nardini, J.; Poag, L.; Thompson, W. C.
3
2013
A mathematical model of RNA3 recruitment in the replication cycle of brome mosaic virus. Zbl 1284.92027
Huffman, Tori; Link, Kathryn; Nardini, John; Poag, Laura; Flores, Kevin; Banks, H. T.; Blasco, Bernat; Jungfleisch, Jennifer; Diez, Juana
2
2013
Generalized sensitivity analysis for delay differential equations. Zbl 1279.34076
Banks, H. T.; Robbins, Danielle; Sutton, Karyn L.
2
2013
Experimental design for distributed parameter vector systems. Zbl 1255.65167
Banks, H. T.; Rehm, K. L.
2
2013
A comparison of stochastic systems with different types of delays. Zbl 1304.60063
Banks, H. T.; Catenacci, Jared; Hu, Shuhua
1
2013
A division-dependent compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays. Zbl 1259.92017
Banks, H. Thomas; Thompson, W. Clayton; Peligero, Cristina; Giest, Sandra; Argilaguet, Jordi; Meyerhans, Andreas
9
2012
A review of selected techniques in inverse problem nonparametric probability distribution estimation. Zbl 1279.34018
Banks, H. Thomas; Kenz, Zackary R.; Thompson, W. Clayton
5
2012
An extension of RSS-based model comparison tests for weighted least squares. Zbl 1402.62025
Banks, H. T.; Kenz, Zackary R.; Thompson, W. Clayton
4
2012
Mathematical models of dividing cell populations: application to CFSE data. Zbl 1260.76047
Banks, H. T.; Thompson, W. Clayton
3
2012
A comparison of computational efficiencies of stochastic algorithms in terms of two infection models. Zbl 1259.60086
Banks, H. Thomas; Hu, Shuhua; Joyner, Michele; Broido, Anna; Canter, Brandi; Gayvert, Kaitlyn; Link, Kathryn
3
2012
A division-dependent compartmental model with cyton and intracellular label dynamics. Zbl 1247.92007
Banks, H. T.; Thompson, W. Clayton
3
2012
A zero-sum electromagnetic evader-interrogator differential game with uncertainty. Zbl 1272.91033
Banks, H. T.; Hu, Shuhua
2
2012
Experimental design and inverse problems in plant biological modeling. Zbl 1279.34017
Avery, Matt; Banks, H. T.; Basu, Kanadpriya; Cheng, Yansong; Eager, Eric; Khasawinah, Sarah; Potter, Laura; Rehm, Keri L.
1
2012
Propagation of growth uncertainty in a physiologically structured population. Zbl 1260.35236
Banks, H. T.; Hu, S.
1
2012
Nonlinear stochastic Markov processes and modeling uncertainty in populations. Zbl 1259.60090
Banks, H. Thomas; Hu, Shuhua
1
2012
Uncertainty propagation and quantification in a continuous time dynamical system. Zbl 1401.60108
Banks, H. T.; Hu, Shuhua
1
2012
Thermal based methods for damage detection and characterization in porous materials. Zbl 1245.80007
Banks, H. T.; Criner, Amanda Keck
1
2012
Estimation of cell proliferation dynamics using CFSE data. Zbl 1209.92012
Banks, H. T.; Sutton, Karyn L.; Thompson, W. Clayton; Bocharov, Gennady; Roose, Dirk
17
2011
Comparison of optimal design methods in inverse problems. Zbl 1271.62169
Banks, H. T.; Holm, K.; Kappel, F.
7
2011
Feedback control of HIV antiviral therapy with long measurement time. Zbl 1330.92054
Banks, H. T.; Jang, Taesoo; Kwon, Hee-Dae
5
2011
Host immune responses that promote initial HIV spread. Zbl 1397.92412
Wendelsdorf, K.; Dean, G.; Hu, Shuhua; Nordone, S.; Banks, H. T.
2
2011
Receding horizon control of HIV. Zbl 1270.93120
David, John; Tran, Hien; Banks, H. T.
2
2011
A deterministic methodology for estimation of parameters in dynamic Markov chain models. Zbl 1404.92198
Ortiz, A. R.; Banks, H. T.; Castillo-Chavez, C.; Chowell, G.; Wang, X.
1
2011
Parameter estimation for the heat equation on perforated domains. Zbl 1279.65109
Banks, H. T.; Cioranescu, D.; Criner, A. K.; Winfree, W. P.
1
2011
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
13
2010
Standard error computations for uncertainty quantification in inverse problems: asymptotic theory vs. bootstrapping. Zbl 1205.93170
Banks, H. T.; Holm, Kathleen; Robbins, Danielle
7
2010
Inverse problems for nonlinear delay systems. Zbl 1222.34091
Banks, H. T.; Rehm, Keri; Sutton, Karyn
4
2010
Label structured cell proliferation models. Zbl 1205.35321
Banks, H. T.; Charles, Frédérique; Jauffret, Marie Doumic; Sutton, Karyn L.; Thompson, W. Clayton
3
2010
Thermal-based damage detection in porous materials. Zbl 1425.74438
Banks, H. T.; Boudreaux, Brittany; Criner, Amanda Keck; Foster, Krista; Uttal, Cerena; Vogel, Thomas; Winfree, William P.
3
2010
Public vaccination policy using an age-structured model of pneumococcal infection dynamics. Zbl 1345.92155
Sutton, Karyn L.; Banks, H. T.; Castillo-Chavez, Carlos
2
2010
A computational comparison of alternatives to including uncertainty in structured population models. Zbl 1369.60057
Banks, H. T.; Davis, Jimena L.; Hu, Shuhua
2
2010
A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals. Zbl 1279.92054
Ortiz, Angela; Banks, H. Thomas; Castillo-Chavez, Carlos; Chowell, Gerardo; Wang, Xiaohong
1
2010
A comparison of nonlinear filtering approaches in the context of an HIV model. Zbl 1259.65004
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Tran, Hien T.
1
2010
Dynamic social network models incorporating stochasticity and delays. Zbl 1232.91576
Banks, H. T.; Rehm, Keri; Sutton, Karyn L.
1
2010
Mathematical and experimental modeling of physical and biological processes. With CD-ROM. Zbl 1402.00037
Banks, H. T.; Tran, H. T.
32
2009
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
23
2009
The estimation of the effective reproductive number from disease outbreak data. Zbl 1166.62080
Cintrón-Arias, Ariel; Castillo-Chávez, Carlos; Bettencourt, Luís M. A.; Lloyd, Alun L.; Banks, H. T.
21
2009
Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media. Zbl 1168.78314
Banks, H. T.; Bokil, V. A.; Gibson, N. L.
20
2009
An inverse problem statistical methodology summary. Zbl 1345.92006
Banks, H. Thomas; Davidian, Marie; Samuels, John R. jun.; Sutton, Karyn L.
15
2009
HIV model analysis and estimation implementation under optimal control based treatment strategies. Zbl 1180.92037
David, John; Tran, Hien; Banks, H. T.
7
2009
Experimental design and estimation of growth rate distributions in size-structured shrimp populations. Zbl 1173.35720
Banks, H. T.; Davis, Jimena L.; Ernstberger, Stacey L.; Hu, Shuhua; Artimovich, Elena; Dhar, Arun K.
7
2009
A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability. Zbl 1342.92156
Banks, H. T.; Davis, J. L.; Ernstberger, S. L.; Hu, Shuhua; Artimovich, E.; Dhar, A. K.; Browdy, C. L.
6
2009
Sensitivity equations for a size-structured population model. Zbl 1184.93036
Banks, H. T.; Ernstberger, Stacey L.; Hu, Shuhua
4
2009
A model for HCMV infection in immunosuppressed patients. Zbl 1165.92312
Kepler, G. M.; Banks, H. T.; Davidian, M.; Rosenberg, E. S.
4
2009
Well posedness of inverse problems for systems with time dependent parameters. Zbl 1182.35225
Banks, H. T.; Pedersen, M.
1
2009
Estimation in time-delay modeling of insecticide-induced mortality. Zbl 1167.34025
Banks, H. T.; Banks, J. E.; Joyner, S. L.
1
2009
Modelling HIV immune response and validation with clinical data. Zbl 1315.92050
Banks, H. T.; Davidian, M.; Hu, Shuhua; Kepler, Grace M.; Rosenberg, E. S.
23
2008
A stick-slip/rouse hybrid model for viscoelasticity in polymers. Zbl 1156.76375
Banks, H. T.; Hood, J. B.; Medhin, N. G.; Samuels, J. S. jun.
4
2008
Quantifying uncertainty in the estimation of probability distributions. Zbl 1160.35471
Banks, H. T.; Davis, Jimena L.
4
2008
Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia. Zbl 1140.92318
Sutton, Karyn L.; Banks, H. T.; Castillo-Chávez, Carlos
4
2008
A brief review of some approaches to hysteresis in viscoelastic polymers. Zbl 1143.74044
Banks, H. T.
3
2008
A molecular based model for polymer viscoelasticity: intra- and inter-molecular variability. Zbl 1167.74321
Banks, H. T.; Hood, J. B.; Medhin, N. G.
2
2008
Dynamic models for insect mortality due to exposure to insecticides. Zbl 1145.92340
Banks, H. T.; Banks, John E.; Joyner, Sarah Lynn; Stark, John D.
2
2008
Sensitivity to noise variance in a social network dynamics model. Zbl 1136.91585
Banks, H. T.; Karr, A. F.; Nguyen, H. K.; Samuels, J. R. jun.
2
2008
Estimation and prediction with HIV-treatment interruption data. Zbl 1139.92304
Adams, B. M.; Banks, H. T.; Davidian, M.; Rosenberg, E. S.
22
2007
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
17
2007
Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls. Zbl 1124.34002
Banks, H. T.; Ernstberger, S. L.; Grove, S. L.
17
2007
Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach. Zbl 1117.49032
Banks, H. T.; Lewis, B. M.; Tran, H. T.
14
2007
Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides. Zbl 1296.92232
Banks, H. T.; Banks, John E.; Dick, Lara K.; Stark, John D.
11
2007
Multiscale considerations in modeling of nonlinear elastomers. Zbl 1135.74010
Banks, H. T.; Medhin, Negash G.; Pinter, Gabriella A.
9
2007
Stochastic and deterministic models for agricultural production networks. Zbl 1133.60341
Bai, P.; Banks, H. T.; Dediu, S.; Govan, A. Y.; Last, M.; Lloyd, A. L.; Nguyen, H. K.; Olufsen, M. S.; Rempala, G.; Slenning, B. D.
8
2007
A comparison of approximation methods for the estimation of probability distributions on parameters. Zbl 1115.65009
Banks, H. T.; Davis, Jimena L.
8
2007
Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space. Zbl 1175.34073
Banks, H. T.; Dediu, S.; Nguyen, H. K.
2
2007
Inverse problems and model validation: an example from latent virus reactivation. Zbl 1131.34009
Banks, H. T.; Kepler, G. M.; Nguyen, H. K.; Webster-Cyriaque, J.
2
2007
Monotone approximation for a nonlinear size and class age structured epidemic model. Zbl 1188.92030
Banks, H. T.; Bokil, V. A.; Hu, Shuhua
1
2007
...and 182 more Documents
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Cited by 2,299 Authors

140 Banks, Harvey Thomas
27 Ackleh, Azmy S.
25 Kunisch, Karl
22 Kappel, Franz
19 Ito, Kazufumi
18 Rosen, I. Gary
16 Hu, Shuhua
16 Maksimov, Vyacheslav Ivanovich
14 Flores, Kevin B.
14 Tran, Hien T.
13 Burns, John A.
12 Bocharov, Gennady A.
12 Bortz, David M.
12 Demetriou, Michael A.
12 Lasiecka, Irena
12 Teo, Kok Lay
11 Deng, Keng
11 Kwon, Hee-Dae
10 Benner, Peter
10 Wu, Hsien-Chung
9 Banks, John E.
9 Pinter, Gabriella A.
8 Balachandran, Krishnan
8 Bokil, Vrushali A.
8 Cho, Chung-Ki
8 Gibson, Nathan L.
8 Marzban, Hamid-Reza
8 Reich, Simeon
8 Sutton, Karyn L.
8 White, Luther W.
7 Chukwu, Ethelbert Nwakuche
7 Elaiw, Ahmed M.
7 Joyner, Michele L.
7 Lee, Jeehyun
7 Mahaffy, Joseph M.
7 Rong, Libin
7 Smith, Ralph C.
7 Thibodeaux, Jeremy J.
6 Baker, Christopher T. H.
6 Castillo-Chavez, Carlos
6 Catenacci, Jared
6 Delfour, Michel Claude
6 Doumic, Marie
6 Guo, Bao-Zhu
6 Herdman, Terry L.
6 Li, Jichun
6 Manitius, Andrzej Z.
6 Morris, Kirsten A.
6 Pao, Chia-Ven
6 Rosenberg, Eric S.
6 Zou, Jun
5 Browne, Cameron J.
5 Crauste, Fabien
5 Davidian, Marie-Louise
5 Ernstberger, Stacey L.
5 Ervedoza, Sylvain
5 Fabiano, Richard H.
5 Fahroo, Fariba
5 Fitzpatrick, Ben G.
5 Gandrillon, Olivier
5 Gyori, Istvan
5 Huang, Yunqing
5 Kabanikhin, Sergeĭ Igorevich
5 Kalise, Dante
5 Kepler, Grace M.
5 Krivorotko, Olga I.
5 Kwon, YongHoon
5 Luczak, Susan E.
5 Medhin, Negash G.
5 Mena, Hermann
5 Olufsen, Mette Sofie
5 Rapún, María-Luisa
5 Saak, Jens
5 Schappacher, Wilhelm
5 Singler, John R.
5 Thompson, W. Clayton
5 Turi, Janos
5 Uciński, Dariusz
5 Volkwein, Stefan
5 Wong, Kar Hung
5 Yang, Wei
5 Yu, Wenhuan
4 Aquino, Wilkins
4 Balthazar, José Manoel
4 Bekele-Maxwell, Kidist
4 Bociu, Lorena
4 Breiten, Tobias
4 Brigham, John C.
4 Chalco-Cano, Yurilev
4 Cintrón-Arias, Ariel
4 Cioranescu, Doina
4 Clements, David J.
4 Cliff, Eugene M.
4 Colonius, Fritz
4 Đinh Nho Hào
4 Evans, Katie A.
4 Everett, R. A.
4 Ghosh, Debdas
4 Gopalsamy, Kondalsamy
4 Hassan, Mohamed Fahim
...and 2,199 more Authors
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Cited in 265 Serials

93 Journal of Mathematical Analysis and Applications
53 Journal of Optimization Theory and Applications
43 Applied Mathematics and Computation
41 Mathematical Biosciences
41 Mathematical and Computer Modelling
39 Automatica
39 Journal of Differential Equations
35 Journal of Computational and Applied Mathematics
34 Computers & Mathematics with Applications
34 Bulletin of Mathematical Biology
31 Journal of Theoretical Biology
30 Journal of Mathematical Biology
29 Journal of Inverse and Ill-Posed Problems
28 Applied Mathematics Letters
26 Numerical Functional Analysis and Optimization
26 Nonlinear Analysis. Theory, Methods & Applications
24 Computer Methods in Applied Mechanics and Engineering
24 International Journal of Control
22 Applied Mathematical Modelling
21 Applied Mathematics and Optimization
19 Mathematical Biosciences and Engineering
19 Journal of Biological Dynamics
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Applied Numerical Mathematics
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Nonlinear Analysis. Real World Applications
14 Inverse Problems in Science and Engineering
13 Journal of the Franklin Institute
13 Quarterly of Applied Mathematics
13 SIAM Journal on Control and Optimization
13 Discrete and Continuous Dynamical Systems. Series B
12 Systems & Control Letters
12 Journal of Vibration and Control
11 International Journal of Systems Science
11 Journal of Computational Physics
11 Kybernetika
11 Optimal Control Applications & Methods
11 Nonlinear Dynamics
10 Applicable Analysis
10 Numerische Mathematik
9 Acta Mechanica
9 Mathematics and Computers in Simulation
9 Computational Optimization and Applications
9 Advances in Computational Mathematics
9 Advances in Difference Equations
8 International Journal of Biomathematics
7 Fuzzy Sets and Systems
7 Transactions of the American Mathematical Society
7 Acta Applicandae Mathematicae
7 Journal of Mathematical Sciences (New York)
7 Mathematical Problems in Engineering
7 International Journal of Applied Mathematics and Computer Science
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Mathematical Methods in the Applied Sciences
6 International Journal for Numerical Methods in Engineering
6 Optimization
6 Journal of Integral Equations and Applications
6 European Journal of Control
6 Abstract and Applied Analysis
6 Proceedings of the Steklov Institute of Mathematics
6 Mathematical Modelling of Natural Phenomena
5 Inverse Problems
5 Journal of Applied Mathematics and Mechanics
5 Journal of Soviet Mathematics
5 Journal of Scientific Computing
5 International Journal of Adaptive Control and Signal Processing
5 SIAM Journal on Applied Mathematics
5 European Journal of Mechanics. A. Solids
5 Journal of Applied Mathematics
5 Fuzzy Optimization and Decision Making
5 Numerical Algebra, Control and Optimization
5 SIAM/ASA Journal on Uncertainty Quantification
4 Chaos, Solitons and Fractals
4 Computing
4 Numerical Methods for Partial Differential Equations
4 International Journal of Computer Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Communications in Nonlinear Science and Numerical Simulation
4 Differential Equations
4 Journal of Applied Mathematics and Computing
4 International Journal of Applied and Computational Mathematics
3 Bulletin of the Australian Mathematical Society
3 International Journal of Engineering Science
3 Mathematical Notes
3 Ukrainian Mathematical Journal
3 Mathematics of Computation
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Information Sciences
3 Proceedings of the American Mathematical Society
3 Semigroup Forum
3 Theoretical Population Biology
3 Stochastic Analysis and Applications
3 Physica D
3 Numerical Algorithms
3 Computational Mathematics and Mathematical Physics
3 European Journal of Operational Research
3 Journal of Dynamics and Differential Equations
3 SIAM Journal on Scientific Computing
3 Computational and Applied Mathematics
...and 165 more Serials
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Cited in 43 Fields

413 Biology and other natural sciences (92-XX)
401 Systems theory; control (93-XX)
370 Partial differential equations (35-XX)
359 Numerical analysis (65-XX)
340 Ordinary differential equations (34-XX)
303 Calculus of variations and optimal control; optimization (49-XX)
159 Mechanics of deformable solids (74-XX)
91 Statistics (62-XX)
82 Operations research, mathematical programming (90-XX)
81 Operator theory (47-XX)
56 Dynamical systems and ergodic theory (37-XX)
56 Optics, electromagnetic theory (78-XX)
49 Fluid mechanics (76-XX)
48 Integral equations (45-XX)
44 Probability theory and stochastic processes (60-XX)
30 Real functions (26-XX)
29 Functional analysis (46-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Classical thermodynamics, heat transfer (80-XX)
22 Mechanics of particles and systems (70-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Approximations and expansions (41-XX)
12 Measure and integration (28-XX)
12 Computer science (68-XX)
11 General topology (54-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Geophysics (86-XX)
6 Difference and functional equations (39-XX)
6 Integral transforms, operational calculus (44-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
3 History and biography (01-XX)
2 General and overarching topics; collections (00-XX)
2 Special functions (33-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

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