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Beattie, Christopher A.

Author ID: beattie.christopher-a Recent zbMATH articles by "Beattie, Christopher A."
Published as: Beattie, Christopher; Beattie, Christopher A.; Beattie, C.; Beattie, C. A.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 907 times in 541 Documents Cited by Year
\(\mathcal{H}_2\) model reduction for large-scale linear dynamical systems. Zbl 1159.93318
Gugercin, S.; Antoulas, A. C.; Beattie, C.
226
2008
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
76
2011
Interpolatory projection methods for structure-preserving model reduction. Zbl 1159.93317
Beattie, Christopher; Gugercin, Serkan
65
2009
Interpolatory model reduction of large-scale dynamical systems. Zbl 1229.65103
Antoulas, Athanasios C.; Beattie, Christopher A.; Gugercin, Serkan
63
2010
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. Zbl 1257.93021
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan
52
2012
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
51
2018
Structure-preserving model reduction for nonlinear port-Hamiltonian systems. Zbl 1376.37120
Chaturantabut, S.; Beattie, C.; Gugercin, S.
42
2016
Interpolatory weighted-\(\mathcal{H}_2\) model reduction. Zbl 1319.93016
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C.
39
2013
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
26
2019
Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. Zbl 1320.93029
Drmač, Z.; Gugercin, S.; Beattie, C.
25
2015
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
20
2017
Vector fitting for matrix-valued rational approximation. Zbl 1323.93050
Drmač, Z.; Gugercin, S.; Beattie, C.
19
2015
Convergence of restarted Krylov subspaces to invariant subspaces. Zbl 1067.65037
Beattie, Christopher; Embree, Mark; Rossi, John
17
2004
Optimal matrix approximants in structural identification. Zbl 0794.93018
Beattie, C. A.; Smith, S. W.
17
1992
Data-driven structured realization. Zbl 1373.93087
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan
16
2018
Inexact solves in interpolatory model reduction. Zbl 1236.93034
Beattie, Christopher; Gugercin, Serkan; Wyatt, Sarah
14
2012
Convergence of the iterative rational Krylov algorithm. Zbl 1401.93051
Flagg, Garret; Beattie, Christopher; Gugercin, Serkan
13
2012
Nonlinear parametric inversion using interpolatory model reduction. Zbl 1433.65194
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan
13
2015
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
10
2015
Galerkin eigenvector approximations. Zbl 0956.65043
Beattie, Christopher
9
2000
Interpolatory \(H_\infty \) model reduction. Zbl 1277.93020
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan
9
2013
Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher
8
1993
Methods for computing lower bounds to eigenvalues of self-adjoint operators. Zbl 0857.65063
Beattie, Christopher; Goerisch, Friedrich
6
1995
Harmonic Ritz and Lehmann bounds. Zbl 0918.65027
Beattie, Christopher
5
1998
Convergence theorems for intermediate problems. Zbl 0578.35076
Beattie, Christopher A.; Greenlee, W. M.
5
1985
Structure-preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. Zbl 1504.93033
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
5
2022
Localization criteria and containment for Rayleigh quotient iteration. Zbl 0665.65032
Beattie, Christopher; Fox, David W.
4
1989
Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. Zbl 1384.93015
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan
3
2017
Inclusion regions for matrix eigenvalues. Zbl 1054.15020
Beattie, Christopher; Ipsen, Ilse C. F.
3
2003
A note on shifted Hessenberg systems and frequency response computation. Zbl 1365.65067
Beattie, Christopher; Drmavč, Zlatko; Gugercin, Serkan
3
2011
Damping optimization of parameter dependent mechanical systems by rational interpolation. Zbl 1416.90038
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan
3
2018
An extension of Aronszajn’s rule: slicing the spectrum for intermediate problems. Zbl 0632.65063
Beattie, Christopher
2
1987
Corrigendum: Convergence theorems for intermediate problems. Zbl 0653.35070
Beattie, Christopher A.; Greenlee, W. M.
2
1986
Parallel solution of a generalized symmetric matrix eigenvalue problem. Zbl 0802.65047
Beattie, Christopher; Ribbens, Calvin J.
2
1992
Sampling-free model reduction of systems with low-rank parameterization. Zbl 1464.93010
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran
2
2020
Lower bounds for the resonant frequencies of nonuniform frame structures. Zbl 0626.73057
Beattie, C.
1
1987
Rapid resolution of truncated intermediate problems. Zbl 0633.65137
Beattie, Christopher; Banach, Antoni
1
1987
Inertia-preserving secant updates. Zbl 0651.65041
Beattie, C. A.; Boisen, M. B. jun.; Johnson, L. W.
1
1989
Convergence rates for intermediate problems. Zbl 0652.49030
Beattie, Christopher; Greenlee, W. M.
1
1987
Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. Zbl 0661.15008
Beattie, Christopher; Fox, David W.
1
1988
Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces. Zbl 0665.47003
Beattie, Christopher; Ruskai, Mary Beth
1
1988
Convergence of essential spectra for intermediate Hamiltonians. Zbl 0581.35013
Beattie, Christopher
1
1985
Model reduction of linear dynamical systems via balancing for Bayesian inference. Zbl 1492.93032
Qian, Elizabeth; Tabeart, Jemima M.; Beattie, Christopher; Gugercin, Serkan; Jiang, Jiahua; Kramer, Peter R.; Narayan, Akil
1
2022
Radial basis function collocation for the chemical master equation. Zbl 1267.92064
Zhang, Jingwei; Watson, Layne T.; Beattie, Christopher A.; Cao, Yang
1
2010
Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006
1
2022
Linear time-periodic dynamical systems: an \(H_2\) analysis and a model reduction framework. Zbl 1485.93098
Magruder, C. C.; Gugercin, S.; Beattie, C. A.
1
2018
Data-driven balancing of linear dynamical systems. Zbl 1492.37076
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher
1
2022
Structure-preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. Zbl 1504.93033
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
5
2022
Model reduction of linear dynamical systems via balancing for Bayesian inference. Zbl 1492.93032
Qian, Elizabeth; Tabeart, Jemima M.; Beattie, Christopher; Gugercin, Serkan; Jiang, Jiahua; Kramer, Peter R.; Narayan, Akil
1
2022
Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006
1
2022
Data-driven balancing of linear dynamical systems. Zbl 1492.37076
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher
1
2022
Sampling-free model reduction of systems with low-rank parameterization. Zbl 1464.93010
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran
2
2020
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
26
2019
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
51
2018
Data-driven structured realization. Zbl 1373.93087
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan
16
2018
Damping optimization of parameter dependent mechanical systems by rational interpolation. Zbl 1416.90038
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan
3
2018
Linear time-periodic dynamical systems: an \(H_2\) analysis and a model reduction framework. Zbl 1485.93098
Magruder, C. C.; Gugercin, S.; Beattie, C. A.
1
2018
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
20
2017
Interpolatory methods for \(\mathcal{H}_{\infty}\) model reduction of multi-input/multi-output systems. Zbl 1384.93015
Castagnotto, Alessandro; Beattie, Christopher; Gugercin, Serkan
3
2017
Structure-preserving model reduction for nonlinear port-Hamiltonian systems. Zbl 1376.37120
Chaturantabut, S.; Beattie, C.; Gugercin, S.
42
2016
Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. Zbl 1320.93029
Drmač, Z.; Gugercin, S.; Beattie, C.
25
2015
Vector fitting for matrix-valued rational approximation. Zbl 1323.93050
Drmač, Z.; Gugercin, S.; Beattie, C.
19
2015
Nonlinear parametric inversion using interpolatory model reduction. Zbl 1433.65194
de Sturler, Eric; Gugercin, Serkan; Kilmer, Misha E.; Chaturantabut, Saifon; Beattie, Christopher; O’Connell, Meghan
13
2015
Near-optimal frequency-weighted interpolatory model reduction. Zbl 1320.93028
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan
10
2015
Interpolatory weighted-\(\mathcal{H}_2\) model reduction. Zbl 1319.93016
Anić, Branimir; Beattie, Christopher; Gugercin, Serkan; Antoulas, Athanasios C.
39
2013
Interpolatory \(H_\infty \) model reduction. Zbl 1277.93020
Flagg, Garret; Beattie, Christopher A.; Gugercin, Serkan
9
2013
Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems. Zbl 1257.93021
Gugercin, Serkan; Polyuga, Rostyslav V.; Beattie, Christopher; van der Schaft, Arjan
52
2012
Inexact solves in interpolatory model reduction. Zbl 1236.93034
Beattie, Christopher; Gugercin, Serkan; Wyatt, Sarah
14
2012
Convergence of the iterative rational Krylov algorithm. Zbl 1401.93051
Flagg, Garret; Beattie, Christopher; Gugercin, Serkan
13
2012
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
76
2011
A note on shifted Hessenberg systems and frequency response computation. Zbl 1365.65067
Beattie, Christopher; Drmavč, Zlatko; Gugercin, Serkan
3
2011
Interpolatory model reduction of large-scale dynamical systems. Zbl 1229.65103
Antoulas, Athanasios C.; Beattie, Christopher A.; Gugercin, Serkan
63
2010
Radial basis function collocation for the chemical master equation. Zbl 1267.92064
Zhang, Jingwei; Watson, Layne T.; Beattie, Christopher A.; Cao, Yang
1
2010
Interpolatory projection methods for structure-preserving model reduction. Zbl 1159.93317
Beattie, Christopher; Gugercin, Serkan
65
2009
\(\mathcal{H}_2\) model reduction for large-scale linear dynamical systems. Zbl 1159.93318
Gugercin, S.; Antoulas, A. C.; Beattie, C.
226
2008
Convergence of polynomial restart Krylov methods for eigenvalue computations. Zbl 1073.65028
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C.
20
2005
Convergence of restarted Krylov subspaces to invariant subspaces. Zbl 1067.65037
Beattie, Christopher; Embree, Mark; Rossi, John
17
2004
Inclusion regions for matrix eigenvalues. Zbl 1054.15020
Beattie, Christopher; Ipsen, Ilse C. F.
3
2003
Galerkin eigenvector approximations. Zbl 0956.65043
Beattie, Christopher
9
2000
Harmonic Ritz and Lehmann bounds. Zbl 0918.65027
Beattie, Christopher
5
1998
Methods for computing lower bounds to eigenvalues of self-adjoint operators. Zbl 0857.65063
Beattie, Christopher; Goerisch, Friedrich
6
1995
Contragredient transformations applied to the optimal projection equations. Zbl 0781.65059
Žigić, Dragan; Watson, Layne T.; Beattie, Christopher
8
1993
Optimal matrix approximants in structural identification. Zbl 0794.93018
Beattie, C. A.; Smith, S. W.
17
1992
Parallel solution of a generalized symmetric matrix eigenvalue problem. Zbl 0802.65047
Beattie, Christopher; Ribbens, Calvin J.
2
1992
Localization criteria and containment for Rayleigh quotient iteration. Zbl 0665.65032
Beattie, Christopher; Fox, David W.
4
1989
Inertia-preserving secant updates. Zbl 0651.65041
Beattie, C. A.; Boisen, M. B. jun.; Johnson, L. W.
1
1989
Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. Zbl 0661.15008
Beattie, Christopher; Fox, David W.
1
1988
Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces. Zbl 0665.47003
Beattie, Christopher; Ruskai, Mary Beth
1
1988
An extension of Aronszajn’s rule: slicing the spectrum for intermediate problems. Zbl 0632.65063
Beattie, Christopher
2
1987
Lower bounds for the resonant frequencies of nonuniform frame structures. Zbl 0626.73057
Beattie, C.
1
1987
Rapid resolution of truncated intermediate problems. Zbl 0633.65137
Beattie, Christopher; Banach, Antoni
1
1987
Convergence rates for intermediate problems. Zbl 0652.49030
Beattie, Christopher; Greenlee, W. M.
1
1987
Corrigendum: Convergence theorems for intermediate problems. Zbl 0653.35070
Beattie, Christopher A.; Greenlee, W. M.
2
1986
Convergence theorems for intermediate problems. Zbl 0578.35076
Beattie, Christopher A.; Greenlee, W. M.
5
1985
Convergence of essential spectra for intermediate Hamiltonians. Zbl 0581.35013
Beattie, Christopher
1
1985
all top 5

Cited by 703 Authors

47 Benner, Peter
39 Gugercin, Serkan
29 Beattie, Christopher A.
27 Jiang, Yaolin
27 Mehrmann, Volker
16 Peherstorfer, Benjamin
14 Breiten, Tobias
11 Goyal, Pawan
10 Antoulas, Athanasios C.
10 Eberhard, Peter
10 Feng, Lihong
10 Gosea, Ion Victor
10 Willcox, Karen E.
9 Redmann, Martin
9 Unger, Benjamin
8 Ahmad, Mian Ilyas
8 Simoncini, Valeria
8 Stykel, Tatjana
8 Xu, Kangli
7 Drmač, Zlatko
7 Druskin, Vladimir
7 Du, Xin
7 Jbilou, Khalide
7 Krämer, Boris
7 Saak, Jens
7 Schulze, Philipp
7 van der Schaft, Arjan J.
7 Van Dooren, Paul M.
7 Voigt, Matthias
6 de Sturler, Eric
6 Güttel, Stefan
6 Karasözen, Bülent
6 Lohmann, Boris
6 Uzunca, Murat
6 van de Wouw, Nathan
6 Yuan, Quan
5 Astolfi, Alessandro
5 Fehr, Jörg
5 Grundel, Sara M.
5 Heinkenschloss, Matthias
5 Himpe, Christian
5 Hu, Xiyan
5 Li, Jiaofen
5 Li, Zhen
5 Liljegren-Sailer, Björn
5 Marheineke, Nicole
5 Matignon, Denis
5 Mengi, Emre
5 Mlinarić, Petar
5 Pontes Duff, Igor
5 Poussot-Vassal, Charles
5 Pulch, Roland
5 Reis, Timo
5 Scarciotti, Giordano
5 Zaslavsky, Mikhail
5 Zulfiqar, Umair
4 Aliyev, Nicat
4 Brugnoli, Andrea
4 Desmet, Wim
4 Embree, Mark
4 Grubišić, Luka
4 Hesthaven, Jan S.
4 Kilmer, Misha Elena
4 Kürschner, Patrick
4 Mamonov, Alexander V.
4 Narayan, Akil C.
4 Schilders, Wil H. A.
4 Song, Qiu-Yan
4 Sreeram, Victor
4 Szyld, Daniel B.
4 Tomljanović, Zoran
4 Uy, Wayne Isaac Tan
4 Wang, Zhu
4 Werner, Steffen W. R.
4 Xiao, Zhihua
4 Zhang, Lei
3 Afkham, Babak Maboudi
3 Alazard, Daniel
3 Altmann, Robert
3 Baur, Ulrike
3 Bentbib, Abdeslem Hafid
3 Berljafa, Mario
3 Besselink, Bart
3 Borcea, Liliana
3 Bosner, Nela
3 Carlberg, Kevin T.
3 Chaturantabut, Saifon
3 Cherkaev, Elena
3 Dai, Hua
3 Damm, Tobias
3 Flagg, Garret M.
3 Freitag, Melina A.
3 Fröhlich, Benjamin
3 Gunzburger, Max D.
3 Haasdonk, Bernard
3 Hartmann, Carsten
3 Ionescu, Tudor Corneliu
3 Jacob, Birgit
3 Kaouane, Yassine
3 Kressner, Daniel
...and 603 more Authors
all top 5

Cited in 105 Serials

57 SIAM Journal on Scientific Computing
26 Linear Algebra and its Applications
25 Systems & Control Letters
22 Journal of Computational and Applied Mathematics
21 SIAM Journal on Matrix Analysis and Applications
19 Computer Methods in Applied Mechanics and Engineering
19 Automatica
16 Advances in Computational Mathematics
14 Journal of Scientific Computing
14 Mathematical and Computer Modelling of Dynamical Systems
13 Journal of Computational Physics
13 Applied Mathematics and Computation
12 Journal of the Franklin Institute
12 International Journal for Numerical Methods in Engineering
10 International Journal of Control
9 Numerische Mathematik
8 BIT
8 Mathematics and Computers in Simulation
8 Numerical Algorithms
8 International Journal of Systems Science. Principles and Applications of Systems and Integration
7 Applied Mathematical Modelling
6 ETNA. Electronic Transactions on Numerical Analysis
6 European Journal of Control
5 Numerical Linear Algebra with Applications
5 Vietnam Journal of Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computers & Mathematics with Applications
4 SIAM Journal on Control and Optimization
4 Applied Numerical Mathematics
4 MCSS. Mathematics of Control, Signals, and Systems
4 SIAM Review
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Asian Journal of Control
4 Journal of Computational Dynamics
3 SIAM Journal on Numerical Analysis
3 Physica D
3 Japan Journal of Industrial and Applied Mathematics
3 ELA. The Electronic Journal of Linear Algebra
3 Multibody System Dynamics
3 Acta Numerica
3 SIAM Journal on Imaging Sciences
2 Journal of Fluid Mechanics
2 Journal of Mathematical Physics
2 Mathematics of Computation
2 Computational Mechanics
2 Applied Mathematics Letters
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Computational Neuroscience
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 Oberwolfach Reports
2 GAMM-Mitteilungen
2 Advances in Applied Mathematics and Mechanics
2 Numerical Algebra, Control and Optimization
2 Evolution Equations and Control Theory
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Geometry and Physics
1 Computing
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 Studies in Applied Mathematics
1 Optimal Control Applications & Methods
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (English Edition)
1 Optimization
1 Pattern Recognition
1 Stochastic Processes and their Applications
1 International Journal of Robust and Nonlinear Control
1 Computational Optimization and Applications
1 Applied Mathematical Finance
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 Journal of Vibration and Control
1 Nonlinear Dynamics
1 Chaos
1 Discrete Dynamics in Nature and Society
1 European Journal of Mechanics. A. Solids
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Computational Methods in Applied Mathematics
1 Multiscale Modeling & Simulation
1 International Journal of Wavelets, Multiresolution and Information Processing
1 International Journal of Computational Methods
1 International Journal of Numerical Analysis and Modeling
1 Mathematical Biosciences and Engineering
1 Journal of Industrial and Management Optimization
1 SIAM Journal on Financial Mathematics
1 Algorithms
1 Afrika Matematika
1 Journal of Mathematics in Industry
...and 5 more Serials
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Cited in 39 Fields

275 Numerical analysis (65-XX)
275 Systems theory; control (93-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
48 Partial differential equations (35-XX)
48 Dynamical systems and ergodic theory (37-XX)
40 Mechanics of deformable solids (74-XX)
31 Approximations and expansions (41-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
28 Fluid mechanics (76-XX)
25 Ordinary differential equations (34-XX)
25 Mechanics of particles and systems (70-XX)
21 Computer science (68-XX)
16 Operator theory (47-XX)
12 Probability theory and stochastic processes (60-XX)
12 Statistics (62-XX)
12 Optics, electromagnetic theory (78-XX)
12 Operations research, mathematical programming (90-XX)
7 Functions of a complex variable (30-XX)
7 Functional analysis (46-XX)
7 Biology and other natural sciences (92-XX)
4 Differential geometry (53-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Combinatorics (05-XX)
2 Integral transforms, operational calculus (44-XX)
1 History and biography (01-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistical mechanics, structure of matter (82-XX)

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