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## Shutyaev, Victor Petrovich

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 Author ID: shutyaev.victor-petrovich Published as: Shutyaev, V.; Shutyaev, V. P.; Shutyaev, Victor; Shutyaev, Victor P.; Shutyaev, Victor Petrovich
 Documents Indexed: 98 Publications since 1981, including 11 Books
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#### Co-Authors

 31 single-authored 21 Agoshkov, Valeriĭ Ivanovich 21 Le Dimet, Francois-Xavier 18 Parmuzin, Eugene I. 15 Gejadze, Igor Yu. 12 Marchuk, Guriĭ Ivanovich 5 Zakharova, Natalia B. 3 Zalesny, Vladimir Borisovich 2 Dubovski, P. B. 2 Dymnikov, Valentin Pavlovich 2 Gedzhadze, I. Yu. 2 Kuznetsov, Yurii Alekseevich 2 Ngnepieba, Pierre 1 Agoshkov, V. A. 1 Assovskii, Maksim V. 1 Baburin, O. V. 1 Bakhvalov, Nikolai Sergeevich 1 Bardos, Claude Williams 1 Bocharov, Gennady A. 1 Copeland, Graham J. M. 1 Diansky, Nikolay A. 1 Gusev, Anatoly V. 1 Jones, Andrew D. jun. 1 Knyazev, Andrew V. 1 Lebedev, Vyacheslav Ivanovich 1 Lezina, Natalia R. 1 Malaterre, Pierre-Olivier 1 Mu, Mu 1 Nosova, Ekaterina A. 1 Parmuzin, E. L. 1 Sarkisyan, Artem S. 1 Shaĭdurov, Vladimir Victorovich 1 Sheloput, Tatiana O. 1 Shubina, Elena 1 Tran, Thu Ha 1 Trufanov, O. D. 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Vidard, Arthur 1 Wang, Jiafeng
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#### Serials

 37 Russian Journal of Numerical Analysis and Mathematical Modelling 6 Computational Mathematics and Mathematical Physics 4 Journal of Computational Physics 4 Differential Equations 3 Mathematical Notes 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Computational and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Soviet Journal of Numerical Analysis and Mathematical Modelling 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Matematicheskie Zametki 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Control and Cybernetics 1 Chinese Annals of Mathematics. Series B 1 Vychislitel’nye Protsessy i Sistemy 1 Journal of Inverse and Ill-Posed Problems 1 Doklady Mathematics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 International Journal of Pure and Applied Mathematics 1 Proceedings of the Steklov Institute of Mathematics
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#### Fields

 70 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 19 Geophysics (86-XX) 10 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 4 Biology and other natural sciences (92-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

42 Publications have been cited 190 times in 91 Documents Cited by Year
Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. Zbl 0828.47053
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1991
On analysis error covariances in variational data assimilation. Zbl 1168.65357
Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V.
2008
On optimal solution error covariances in variational data assimilation problems. Zbl 1185.65106
Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V.
2010
Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. Zbl 0869.47036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1993
Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics. Zbl 1408.65035
Gejadze, I. Yu.; Copeland, G. J. M.; Le Dimet, F.-X.; Shutyaev, V.
2011
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
2001
Approaches to the solution of data assimilation problems. Zbl 1061.65509
Marchuk, Guri; Shutyaev, Victor; Zalesny, Vladimir
2001
Numerical analysis of iterative algorithms for an inverse boundary transport problem. Zbl 1010.82035
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.; Bardos, C.
2000
Numerical analysis of iterative methods for solving evolution data assimilation problems. Zbl 0963.65054
Parmuzin, E. I.; Shutyaev, V. P.
1999
Iteration methods for solving a data assimilation problem. Zbl 0818.65058
Marchuk, G. I.; Shutyaev, V. P.
1994
Numerical algorithm for variational assimilation of sea surface temperature data. Zbl 1199.86004
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.
2008
On Newton methods in data assimilation. Zbl 0983.65070
Le Dimet, F.-X.; Shutyaev, V. P.
2000
Some properties of the control operator in the problem of data assimilation and iterative algorithms. Zbl 0840.65040
Shutyaev, V. P.
1995
On optimal solution error in variational data assimilation: Theoretical aspects. Zbl 1102.65096
Le Dimet, F.-X.; Shutyaev, V.; Gejadze, I.
2006
On Gauss-verifiability of optimal solutions in variational data assimilation problems with nonlinear dynamics. Zbl 1349.49037
2015
Adjoint equations and analysis of complex systems: Application to virus infection modelling. Zbl 1072.92026
Marchuk, G. I.; Shutyaev, V.; Bocharov, G.
2005
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1002.93001
Shutyaev, V. P.
2001
Control operators and iterative algorithms in problems of reconstructing source functions and initial data. Zbl 0931.65069
Shutyaev, V. P.
1999
Data mastery in a scale of Hilbert spaces for quasilinear evolution problems. Zbl 0947.65064
Shutyaev, V. P.
1998
An algorithm for computing functionals for a class of nonlinear problems using the conjugate equation. Zbl 0816.65103
Shutyaev, V. P.
1991
Conjugate equations and perturbation algorithms. Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1986
Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics. Zbl 1322.49052
Agoshkov, Valeriy I.; Parmuzin, Eugene I.; Zalesny, Vladimir B.; Shutyaev, Victor P.; Zakharova, Natalia B.; Gusev, Anatoly V.
2015
General sensitivity analysis in data assimilation. Zbl 1287.65050
Le Dimet, Francois-Xavier; Shutyaev, Victor P.; Tran, Thu Ha
2014
A posteriori error covariances in variational data assimilation. Zbl 1163.65046
Shutyaev, V. P.; Le Dimet, F.-X.; Gejadze, I. Yu.
2009
On error covariances in variational data assimilation. Zbl 1120.93056
Gejadze, I.; Le Dimet, F.-X.; Shutyaev, V.
2007
Initial condition reconstruction problem for a viscous barotropic fluid dynamic equation on a sphere. Zbl 1180.76065
Shutyaev, V. P.
2002
On data assimilation for quasilinear parabolic problems. Zbl 1005.65108
Le Dimet, F.-X.; Shutyaev, V.
2001
Algorithms for solving a problem of data assimilation. Zbl 0945.65069
Parmuzin, E. I.; Shutyaev, V. P.
1997
On a class of insensitive control problems. Zbl 0809.93022
Shutyaev, Victor P.
1994
Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064
Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P.
1984
Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics. Zbl 1391.49036
Agoshkov, Valery I.; Parmuzin, Eugene I.; Zakharova, Natalia B.; Shutyaev, Victor P.
2018
Sensitivity with respect to observations in variational data assimilation. Zbl 1365.65176
Shutyaev, Victor; Le Dimet, Francois-Xavier; Shubina, Elena
2017
Sensitivity of functionals with respect to observations in variational data assimilation. Zbl 1335.86001
Le Dimet, François-Xavier; Shutyaev, Victor; Parmuzin, Eugene
2016
The study of solution sensitivity for the variational observation data assimilation problem in the Black Sea dynamics model. Zbl 1260.86016
Parmuzin, E. I.; Shutyaev, V. P.
2013
On computation of the design function gradient for the sensor-location problem in variational data assimilation. Zbl 1248.65068
2012
Adjoint to the Hessian derivative and error covariances in variational data assimilation. Zbl 1217.65124
Shutyaev, V. P.; Gejadze, I. Yu.
2011
Numerical solution of a variational data assimilation problem for a 3D ocean thermohydrodynamics model with a nonlinear vertical heat exchange. Zbl 1123.76057
Parmuzin, E. I.; Shutyaev, V. P.; Diansky, N. A.
2007
Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion. Zbl 1067.65101
Parmuzin, E. L.; Shutyaev, V. P.
2005
Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553
Marchuk, Guri; Shutyaev, Victor
2002
An optimal control problem of initial data restoration. Zbl 0978.49030
Gedzhadze, I. Yu.; Shutyaev, V. P.
1999
Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems. Zbl 0872.65046
Shutyaev, V. P.
1997
Some properties of the control operator in the problem of data understanding and some algorithms for its solution. Zbl 1030.49500
Shutyaev, V. P.
1995
Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics. Zbl 1391.49036
Agoshkov, Valery I.; Parmuzin, Eugene I.; Zakharova, Natalia B.; Shutyaev, Victor P.
2018
Sensitivity with respect to observations in variational data assimilation. Zbl 1365.65176
Shutyaev, Victor; Le Dimet, Francois-Xavier; Shubina, Elena
2017
Sensitivity of functionals with respect to observations in variational data assimilation. Zbl 1335.86001
Le Dimet, François-Xavier; Shutyaev, Victor; Parmuzin, Eugene
2016
On Gauss-verifiability of optimal solutions in variational data assimilation problems with nonlinear dynamics. Zbl 1349.49037
2015
Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics. Zbl 1322.49052
Agoshkov, Valeriy I.; Parmuzin, Eugene I.; Zalesny, Vladimir B.; Shutyaev, Victor P.; Zakharova, Natalia B.; Gusev, Anatoly V.
2015
General sensitivity analysis in data assimilation. Zbl 1287.65050
Le Dimet, Francois-Xavier; Shutyaev, Victor P.; Tran, Thu Ha
2014
The study of solution sensitivity for the variational observation data assimilation problem in the Black Sea dynamics model. Zbl 1260.86016
Parmuzin, E. I.; Shutyaev, V. P.
2013
On computation of the design function gradient for the sensor-location problem in variational data assimilation. Zbl 1248.65068
2012
Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics. Zbl 1408.65035
Gejadze, I. Yu.; Copeland, G. J. M.; Le Dimet, F.-X.; Shutyaev, V.
2011
Adjoint to the Hessian derivative and error covariances in variational data assimilation. Zbl 1217.65124
Shutyaev, V. P.; Gejadze, I. Yu.
2011
On optimal solution error covariances in variational data assimilation problems. Zbl 1185.65106
Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V.
2010
A posteriori error covariances in variational data assimilation. Zbl 1163.65046
Shutyaev, V. P.; Le Dimet, F.-X.; Gejadze, I. Yu.
2009
On analysis error covariances in variational data assimilation. Zbl 1168.65357
Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V.
2008
Numerical algorithm for variational assimilation of sea surface temperature data. Zbl 1199.86004
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.
2008
On error covariances in variational data assimilation. Zbl 1120.93056
Gejadze, I.; Le Dimet, F.-X.; Shutyaev, V.
2007
Numerical solution of a variational data assimilation problem for a 3D ocean thermohydrodynamics model with a nonlinear vertical heat exchange. Zbl 1123.76057
Parmuzin, E. I.; Shutyaev, V. P.; Diansky, N. A.
2007
On optimal solution error in variational data assimilation: Theoretical aspects. Zbl 1102.65096
Le Dimet, F.-X.; Shutyaev, V.; Gejadze, I.
2006
Adjoint equations and analysis of complex systems: Application to virus infection modelling. Zbl 1072.92026
Marchuk, G. I.; Shutyaev, V.; Bocharov, G.
2005
Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion. Zbl 1067.65101
Parmuzin, E. L.; Shutyaev, V. P.
2005
Initial condition reconstruction problem for a viscous barotropic fluid dynamic equation on a sphere. Zbl 1180.76065
Shutyaev, V. P.
2002
Solvability and numerical algorithms for a class of variational data assimilation problems. Zbl 1070.65553
Marchuk, Guri; Shutyaev, Victor
2002
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
2001
Approaches to the solution of data assimilation problems. Zbl 1061.65509
Marchuk, Guri; Shutyaev, Victor; Zalesny, Vladimir
2001
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1002.93001
Shutyaev, V. P.
2001
On data assimilation for quasilinear parabolic problems. Zbl 1005.65108
Le Dimet, F.-X.; Shutyaev, V.
2001
Numerical analysis of iterative algorithms for an inverse boundary transport problem. Zbl 1010.82035
Agoshkov, V. I.; Parmuzin, E. I.; Shutyaev, V. P.; Bardos, C.
2000
On Newton methods in data assimilation. Zbl 0983.65070
Le Dimet, F.-X.; Shutyaev, V. P.
2000
Numerical analysis of iterative methods for solving evolution data assimilation problems. Zbl 0963.65054
Parmuzin, E. I.; Shutyaev, V. P.
1999
Control operators and iterative algorithms in problems of reconstructing source functions and initial data. Zbl 0931.65069
Shutyaev, V. P.
1999
An optimal control problem of initial data restoration. Zbl 0978.49030
Gedzhadze, I. Yu.; Shutyaev, V. P.
1999
Data mastery in a scale of Hilbert spaces for quasilinear evolution problems. Zbl 0947.65064
Shutyaev, V. P.
1998
Algorithms for solving a problem of data assimilation. Zbl 0945.65069
Parmuzin, E. I.; Shutyaev, V. P.
1997
Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems. Zbl 0872.65046
Shutyaev, V. P.
1997
Some properties of the control operator in the problem of data assimilation and iterative algorithms. Zbl 0840.65040
Shutyaev, V. P.
1995
Some properties of the control operator in the problem of data understanding and some algorithms for its solution. Zbl 1030.49500
Shutyaev, V. P.
1995
Iteration methods for solving a data assimilation problem. Zbl 0818.65058
Marchuk, G. I.; Shutyaev, V. P.
1994
On a class of insensitive control problems. Zbl 0809.93022
Shutyaev, Victor P.
1994
Conjugate equations and perturbation methods in nonlinear problems of mathematical physics. Zbl 0869.47036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1993
Conjugate equations and perturbation algorithms in nonlinear problems of mathematical physics. Zbl 0828.47053
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1991
An algorithm for computing functionals for a class of nonlinear problems using the conjugate equation. Zbl 0816.65103
Shutyaev, V. P.
1991
Conjugate equations and perturbation algorithms. Zbl 0727.65036
Marchuk, G. I.; Agoshkov, V. I.; Shutyaev, V. P.
1986
Parallel algorithms for the solution of some stationary problems of mathematical physics. (Parallel’nye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoj fiziki). Zbl 0596.65064
Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P.
1984
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#### Cited by 114 Authors

 24 Shutyaev, Victor Petrovich 10 Le Dimet, Francois-Xavier 9 Gejadze, Igor Yu. 9 Parmuzin, Eugene I. 9 Tachim Medjo, Theodore 7 Agoshkov, Valeriĭ Ivanovich 6 Sandu, Adrian 4 Estep, Donald J. 4 Rogava, Jemal L. 4 Tavener, Simon J. 3 Baker, Christopher T. H. 3 Chaudhry, Jehanzeb Hameed 3 Cioaca, Alexandru 3 Gulua, David 3 Marchuk, Guriĭ Ivanovich 3 Zakharova, Natalia B. 2 Bardos, Claude Williams 2 Bardsley, Johnathan M. 2 Bocharov, Gennady A. 2 Carmichael, Gregory R. 2 Daescu, Dacian N. 2 Đinh Nho Hào 2 Ginting, Victor 2 Gray, W. Steven 2 Gulua, D. V. 2 Malaterre, Pierre-Olivier 2 Scherpen, Jacquelien M. A. 2 Skiba, Yuri N. 1 Aalto, Atte 1 Abrashin, Vyacheslav Nikolaevich 1 Alekseev, Aleksey K. 1 Andrianov, Igor Vasil’evich 1 Ataullakhanov, Fazoil I. 1 Auvinen, Harri 1 Awrejcewicz, Jan 1 Banks, Jeffrey W. 1 Belyaev, Konstantin P. 1 Bin-Mohsin, Bandar 1 Brown, Kirsty L. 1 Budochkina, Svetlana Aleksandrovna 1 Carey, Varis 1 Cecchi, Maria Morandi 1 Chai, Tianfeng 1 Collins, Joseph B. 1 Cong, Nguyen Huu 1 Connors, Jeffrey Mark 1 Copeland, Graham J. M. 1 De Angelis, Elena 1 de Sturler, Eric 1 Deolmi, Giulia 1 Diansky, Nikolay A. 1 Douglas, Craig C. 1 Dubovski, P. B. 1 Duc, Nguyen Van 1 Dymnikov, Valentin Pavlovich 1 Egorov, Andrey Aleksandrovich 1 Eppstein, Margaret J. 1 Fedele, Francesco 1 Fernández-Cara, Enrique 1 Galdava, Romeo 1 Garcia, Galina C. 1 Haario, Heikki 1 Haine, Ghislain 1 Hittinger, Jeffrey A. F. 1 Howard, Marylesa 1 Ipatova, V. M. 1 Jiang, Lijian 1 Kang, Sung Ha 1 Kauranne, Tuomo 1 Kim, Seongjun 1 Korotchenko, M. A. 1 Kuhn, Christoph 1 Laible, Jeffrey P. 1 Lezina, Natalia R. 1 Lobanov, Alekseĭ Ivanovich 1 Marcuzzi, Fabio 1 Mesin, Luca 1 Mikhaĭlov, Gennadiĭ Alekseevich 1 Morozova, O. L. 1 Mu, Mu 1 Navon, Ionel Michael 1 Nguyen Van Duc 1 Nguyen Van Thang 1 Osses, Axel 1 Parker, Albert E. 1 Parmuzin, Evgeny I. 1 Perotto, Simona 1 Ramage, Alison 1 Ramdani, Karim 1 Rao, Vishwas 1 Revelli, Roberto 1 Ridolfi, Luca 1 Rihan, Fathalla A. 1 Rogasinsky, Sergey V. 1 Rusakov, A. S. 1 Sandelin, Jeff 1 Savchin, Vladimir Mikhailovich 1 Shadid, John N. 1 Sheloput, Tatiana O. 1 Shubina, Elena ...and 14 more Authors
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#### Cited in 43 Serials

 15 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Journal of Computational Physics 5 Differential Equations 4 Journal of Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Notes 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Fluids 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Systems & Control Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Automatica 1 Computing 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Numerical Linear Algebra with Applications 1 Georgian Mathematical Journal 1 Mathematical Problems in Engineering 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Computational & Mathematical Methods in Medicine
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#### Cited in 22 Fields

 51 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Systems theory; control (93-XX) 16 Fluid mechanics (76-XX) 14 Geophysics (86-XX) 7 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)