×
Compute Distance To:
Author ID: stuart.andrew-m Recent zbMATH articles by "Stuart, Andrew M."
Published as: Stuart, A. M.; Stuart, Andrew M.; Stuart, Andrew; Stuart, A.
External Links: MGP · Wikidata · IdRef
all top 5

Co-Authors

16 single-authored
13 Pavliotis, Grigorios A.
10 Law, Kody J. H.
10 Voss, Jochen
9 Beskos, Alexandros
8 Dunlop, Matthew M.
8 Hairer, Martin
7 Humphries, Antony R.
7 Iglesias, Marco A.
7 Norbury, John W.
7 Roberts, Gareth O.
6 Dashti, Masoumeh
6 Higham, Desmond J.
6 Pillai, Natesh S.
6 Zygalakis, Konstantinos C.
5 Elliott, Charles M.
5 Hosseini, Bamdad
5 Mattingly, Jonathan Christopher
5 Pinski, Frank J.
5 Pokern, Yvo
5 Sanz-Serna, Jesús María
4 Agapiou, Sergios
4 Cotter, Simon L.
4 Girolami, Mark A.
4 Papaspiliopoulos, Omiros
4 Sanz-Alonso, Daniel
4 Sigurgeirsson, Hersir
4 Weber, Hendrik
3 Bai, Fengshan
3 Budd, Christopher John
3 Hoang, Viet Ha
3 Hoffmann, Franca
3 Jones, Don A.
3 Kovachki, Nikola B.
3 Lamba, Harbir
3 Lu, Yulong
3 Ottobre, Michela
3 Spence, Alastair
3 Teckentrup, Aretha L.
3 Thiéry, Alexandre H.
3 Wiberg, Petter
2 Apte, Amit
2 Bertozzi, Andrea Louise
2 Cano, Begoña
2 Chada, Neil K.
2 Chaplain, Mark A. J.
2 Chen, Yifan
2 Estep, Donald J.
2 Fearnhead, Paul
2 Garbuno-Inigo, Alfredo
2 Griewank, Andreas
2 Iserles, Arieh
2 Jasra, Ajay
2 Kelly, David Thomas Bryant
2 Kuntz, Juan
2 Kupferman, Raz
2 Lan, Shiwei
2 Lee, Wonjung
2 Lin, Kui
2 Mao, Xuerong
2 Owhadi, Houman
2 Peplow, Andrew T.
2 Reich, Sebastian
2 Roulstone, Ian
2 Schillings, Claudia
2 Schneider, Tapio
2 Schwab, Christoph
2 Shukla, Abhishek Kumar
2 Warren, J. O.
2 Wolfram, Marie-Therese
1 Adams, Ryan Prescott
1 Albers, David J.
1 Anaya-Izquierdo, Karim Alejandro
1 Archambeau, Cédric
1 Band, Leah R.
1 Bardsley, Johnathan M.
1 Barkley, Dwight
1 Barthelmé, Simon
1 Beffy, Magali
1 Bhadra, Anindya
1 Bjørhus, Morten
1 Blancquart, Paul-Adrien
1 Blömker, Dirk
1 Bornn, Luke
1 Bouchard, Guillaume
1 Bourguignon, Jean-Pierre
1 Boys, Richard J.
1 Bréhier, Charles-Edouard
1 Brett, C. E. A.
1 Bühlmann, Peter
1 Burov, Dmitry A.
1 Calderhead, Ben
1 Calvetti, Daniela
1 Campbell, David A.
1 Cao, Jiguo
1 Chen, Yanjiun
1 Chin, Siu A.
1 Chopin, Nicolas
1 Christie, Mike
1 Cleary, Emmet
1 Conrad, Patrick R.
...and 129 more Co-Authors
all top 5

Serials

13 Inverse Problems
12 SIAM Journal on Numerical Analysis
8 SIAM Journal on Applied Mathematics
6 Journal of Computational Physics
6 Physica D
6 The Annals of Applied Probability
6 Communications in Mathematical Sciences
5 IMA Journal of Numerical Analysis
5 Nonlinearity
5 Stochastic Processes and their Applications
5 SIAM Journal on Scientific Computing
5 Multiscale Modeling & Simulation
5 SIAM/ASA Journal on Uncertainty Quantification
4 IMA Journal of Applied Mathematics
4 Mathematics of Computation
4 Statistics and Computing
3 Journal of Statistical Physics
3 Journal of Differential Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of the Royal Statistical Society. Series B. Statistical Methodology
3 Journal of Machine Learning Research (JMLR)
3 Stochastics and Dynamics
3 SIAM Journal on Applied Dynamical Systems
3 Oberwolfach Reports
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 International Journal for Numerical Methods in Fluids
2 Rocky Mountain Journal of Mathematics
2 BIT
2 Statistical Science
2 IMA Journal of Mathematics Applied in Medicine and Biology
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 Applied and Computational Harmonic Analysis
2 Bernoulli
2 Texts in Applied Mathematics
2 Cambridge Monographs on Applied and Computational Mathematics
2 Inverse Problems and Imaging
2 SMAI Journal of Computational Mathematics
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Quarterly Journal of Mechanics and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Biometrika
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Scientific and Statistical Computing
1 Chinese Annals of Mathematics. Series B
1 Journal of Computational Mathematics
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Nonlinear Science
1 Physics of Fluids
1 Journal of Inverse and Ill-Posed Problems
1 Discrete and Continuous Dynamical Systems
1 European Mathematical Society Newsletter
1 Markov Processes and Related Fields
1 Interfaces and Free Boundaries
1 LMS Journal of Computation and Mathematics
1 Computational Geosciences
1 Foundations of Computational Mathematics
1 Acta Numerica
1 Transactions of Mathematics and its Applications
1 Cambridge Texts in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

177 Publications have been cited 4,755 times in 2,766 Documents Cited by Year
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
395
2010
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
282
2002
Multiscale methods. Averaging and homogenization. Zbl 1160.35006
Pavliotis, Grigorios A.; Stuart, Andrew M.
240
2008
Dynamical systems and numerical analysis. Zbl 0869.65043
Stuart, A. M.; Humphries, A. R.
232
1996
Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise. Zbl 1075.60072
Mattingly, J. C.; Stuart, A. M.; Higham, D. J.
175
2002
MCMC methods for functions: modifying old algorithms to make them faster. Zbl 1331.62132
Cotter, S. L.; Roberts, G. O.; Stuart, A. M.; White, D.
143
2013
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
129
2011
The global dynamics of discrete semilinear parabolic equations. Zbl 0792.65066
Elliott, C. M.; Stuart, A. M.
109
1993
Data assimilation. A mathematical introduction. Zbl 1353.60002
Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos
106
2015
Dynamical systems and numerical analysis. Zbl 0913.65068
Stuart, A. M.; Humphries, A. R.
93
1998
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
92
2004
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
74
2003
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019
Chaplain, M. A. J.; Stuart, A. M.
70
1993
Viscous Cahn-Hilliard equation. II: Analysis. Zbl 0855.35067
Elliott, C. M.; Stuart, A. M.
64
1996
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
64
2013
Runge-Kutta methods for dissipative and gradient dynamical systems. Zbl 0807.34057
Humphries, A. R.; Stuart, A. M.
61
1994
Space-time continuous analysis of waveform relaxation for the heat equation. Zbl 0911.65082
Gander, Martin J.; Stuart, Andrew M.
57
1998
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
56
2013
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
52
2013
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
52
2008
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
51
2014
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045
Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.
51
1995
Analysis of the ensemble Kalman filter for inverse problems. Zbl 1366.65101
Schillings, Claudia; Stuart, Andrew M.
51
2017
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
41
2007
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
40
2012
Diffusion limits of the random walk Metropolis algorithm in high dimensions. Zbl 1254.60081
Mattingly, Jonathan C.; Pillai, Natesh S.; Stuart, Andrew M.
40
2012
Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Zbl 1172.60328
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew
39
2009
Uncertainty quantification and weak approximation of an elliptic inverse problem. Zbl 1234.35309
Dashti, M.; Stuart, A. M.
37
2011
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
36
2013
Convergence of numerical time-averaging and stationary measures via Poisson equations. Zbl 1217.65014
Mattingly, Jonathan C.; Stuart, Andrew M.; Tretyakov, M. V.
35
2010
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems. Zbl 1284.62289
Agapiou, Sergios; Larsson, Stig; Stuart, Andrew M.
35
2013
Model problems in numerical stability theory for initial value problems. Zbl 0807.65091
Stuart, A. M.; Humphries, A. R.
34
1994
Blow-up in a partial differential equation with conserved first integral. Zbl 0784.35009
Budd, Chris; Dold, Bill; Stuart, Andrew
32
1993
Approximation of Bayesian inverse problems for PDEs. Zbl 1210.35284
Cotter, S. L.; Dashti, M.; Stuart, A. M.
32
2010
Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time. Zbl 1305.62323
Kelly, D. T. B.; Law, K. J. H.; Stuart, A. M.
31
2014
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
31
2012
Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions. Zbl 1272.60053
Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H.
31
2012
Parameter estimation for multiscale diffusions. Zbl 1137.82016
Pavliotis, G. A.; Stuart, A. M.
31
2007
Posterior consistency for Gaussian process approximations of Bayesian posterior distributions. Zbl 1429.60040
Stuart, Andrew M.; Teckentrup, Aretha L.
30
2018
Importance sampling: intrinsic dimension and computational cost. Zbl 1442.62026
Agapiou, S.; Papaspiliopoulos, O.; Sanz-Alonso, D.; Stuart, A. M.
30
2017
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
30
2011
A first course in continuum mechanics. Zbl 1143.74001
Gonzalez, Oscar; Stuart, Andrew M.
29
2008
Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627
Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M.
28
2017
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
28
2005
A note on diffusion limits of chaotic skew-product flows. Zbl 1220.37009
Melbourne, I.; Stuart, A. M.
28
2011
Hierarchical Bayesian level set inversion. Zbl 1384.62084
Dunlop, Matthew M.; Iglesias, Marco A.; Stuart, Andrew M.
26
2017
Bayesian inverse problems for functions and applications to fluid mechanics. Zbl 1228.35269
Cotter, S. L.; Dashti, M.; Robinson, J. C.; Stuart, A. M.
26
2009
An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability. Zbl 1127.65005
Lamba, H.; Mattingly, J. C.; Stuart, A. M.
26
2007
Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013
Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C.
25
2013
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
25
2007
Numerical wave propagation in an advection equation with a nonlinear source term. Zbl 0759.65060
Griffiths, D. F.; Stuart, A. M.; Yee, H. C.
24
1992
A perturbation theory for ergodic Markov chains and application to numerical approximations. Zbl 0961.60068
Shardlow, T.; Stuart, A. M.
24
2000
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
23
2018
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
23
1990
Evaluation of Gaussian approximations for data assimilation in reservoir models. Zbl 1393.86020
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
22
2013
Conditional path sampling of SDEs and the Langevin MCMC method. Zbl 1082.65004
Stuart, Andrew M.; Voss, Jochen; Wiberg, Petter
22
2004
Sequential Monte Carlo methods for Bayesian elliptic inverse problems. Zbl 1331.65012
Beskos, Alexandros; Jasra, Ajay; Muzaffer, Ege A.; Stuart, Andrew M.
22
2015
Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M.
22
2009
Statistical analysis of differential equations: introducing probability measures on numerical solutions. Zbl 1384.62082
Conrad, Patrick R.; Girolami, Mark; Särkkä, Simo; Stuart, Andrew; Zygalakis, Konstantinos
21
2017
Geometric ergodicity of some hypo-elliptic diffusions for particle motions. Zbl 1014.60059
Mattingly, J. C.; Stuart, A. M.
20
2002
A Bayesian level set method for geometric inverse problems. Zbl 1353.65050
Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.
20
2016
Parameter estimation for partially observed hypoelliptic diffusions. Zbl 1231.62152
Pokern, Yvo; Stuart, Andrew M.; Wiberg, Petter
20
2009
Parameterizations for ensemble Kalman inversion. Zbl 06897207
Chada, Neil K.; Iglesias, Marco A.; Roininen, Lassi; Stuart, Andrew M.
20
2018
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
20
2020
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
19
2014
Convergence analysis of ensemble Kalman inversion: the linear, noisy case. Zbl 1448.65209
Schillings, C.; Stuart, A. M.
19
2018
A unified approach to spurious solutions introduced by time discretization. I: Basic theory. Zbl 0736.65050
Iserles, A.; Peplow, A. T.; Stuart, A. M.
19
1991
Well-posed Bayesian geometric inverse problems arising in subsurface flow. Zbl 1304.35767
Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M.
18
2014
Ergodicity of dissipative differential equations subject to random impulses. Zbl 0934.34047
Sanz-Serna, J. M.; Stuart, A. M.
18
1999
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
18
2012
A model for preferential concentration. Zbl 1185.76341
Sigurgeirsson, H.; Stuart, A. M.
18
2002
Kullback-Leibler approximation for probability measures on infinite dimensional spaces. Zbl 1342.60049
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
18
2015
White noise limits for inertial particles in a random field. Zbl 1038.60060
Pavliotis, G. A.; Stuart, A. M.
17
2003
Algorithms for particle-field simulations with collisions. Zbl 1158.82300
Sigurgeirsson, Hersir; Stuart, Andrew; Wan, Wing-Lok
17
2001
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
17
2016
Algorithms for Kullback-Leibler approximation of probability measures in infinite dimensions. Zbl 1348.60033
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
17
2015
Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 06736512
Scheichl, R.; Stuart, A. M.; Teckentrup, A. L.
17
2017
Numerical analysis of dynamical systems. Zbl 0809.65076
Stuart, Andrew M.
16
1994
A function space HMC algorithm with second order Langevin diffusion limit. Zbl 1346.60119
Ottobre, Michela; Pillai, Natesh S.; Pinski, Frank J.; Stuart, Andrew M.
16
2016
How deep are deep Gaussian processes? Zbl 1469.60107
Dunlop, Matthew M.; Girolami, Mark A.; Stuart, Andrew M.; Teckentrup, Aretha L.
14
2018
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
14
2018
Analysis of the 3DVAR filter for the partially observed Lorenz ’63 model. Zbl 1283.62194
Law, Kody; Shukla, Abhishek; Stuart, Andrew
14
2014
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
14
2011
The numerical computation of heteroclinic connections in systems of gradient partial differential equations. Zbl 0786.65077
Bai, Fengshan; Spence, Alastair; Stuart, Andrew M.
14
1993
Long-term behaviour of large mechanical systems with random initial data. Zbl 1032.70009
Kupperman, R.; Stuart, A. M.; Terry, J. R.; Tupper, P. F.
13
2002
A model for a porous-medium combustion. Zbl 0679.76104
Norbury, J.; Stuart, A. M.
13
1989
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
13
2014
Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300
Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J.
13
2008
Ensemble Kalman inversion: a derivative-free technique for machine learning tasks. Zbl 1430.68266
Kovachki, Nikola B.; Stuart, Andrew M.
12
2019
Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs. Zbl 1256.62047
Pokern, Y.; Stuart, A. M.; van Zanten, J. H.
12
2013
MCMC methods for sampling function space. Zbl 1179.65003
Beskos, Alexandros; Stuart, Andrew
12
2008
Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075
Norbury, J.; Stuart, A. M.
12
1987
MAP estimators for piecewise continuous inversion. Zbl 1354.65112
Dunlop, M. M.; Stuart, A. M.
12
2016
Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076
Norbury, J.; Stuart, A. M.
11
1987
Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013
Norbury, J.; Stuart, A. M.
11
1988
Blow-up in a system of partial differential equations with conserved first integral. II: Problems with convection. Zbl 0928.35081
Budd, C. J.; Dold, J. W.; Stuart, A. M.
11
1994
Accuracy and stability of filters for dissipative PDEs. Zbl 1350.65102
Brett, C. E. A.; Lam, K. F.; Law, K. J. H.; McCormick, D. S.; Scott, M. R.; Stuart, A. M.
11
2013
The dynamical behavior of the discontinuous Galerkin method and related difference schemes. Zbl 0998.65080
Estep, Donald J.; Stuart, Andrew M.
10
2002
Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044
Norbury, J.; Stuart, A. M.
10
1987
Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators. Zbl 1364.93343
Law, K. J. H.; Sanz-Alonso, D.; Shukla, A.; Stuart, A. M.
10
2016
Model reduction and neural networks for parametric PDEs. Zbl 1481.65260
Bhattacharya, Kaushik; Hosseini, Bamdad; Kovachki, Nikola B.; Stuart, Andrew M.
5
2021
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M.
2
2021
Kernel analog forecasting: multiscale test problems. Zbl 07382142
Burov, Dmitry; Giannakis, Dimitrios; Manohar, Krithika; Stuart, Andrew
1
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
20
2020
Large data and zero noise limits of graph-based semi-supervised learning algorithms. Zbl 1442.62768
Dunlop, Matthew M.; Slepčev, Dejan; Stuart, Andrew M.; Thorpe, Matthew
8
2020
Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T.
6
2020
Hyperparameter estimation in Bayesian MAP estimation: parameterizations and consistency. Zbl 1441.62084
Dunlop, Matthew M.; Helin, Tapio; Stuart, Andrew M.
3
2020
Consistency of semi-supervised learning algorithms on graphs: probit and one-hot methods. Zbl 07306882
Hoffmann, Franca; Hosseini, Bamdad; Ren, Zhi; Stuart, Andrew M.
2
2020
Reconciling Bayesian and perimeter regularization for binary inversion. Zbl 1455.62084
Dunbar, Oliver R. A.; Dunlop, Matthew M.; Elliott, Charles M.; Hoang, Viet Ha; Stuart, Andrew M.
1
2020
Inverse optimal transport. Zbl 1434.90092
Stuart, Andrew M.; Wolfram, Marie-Therese
1
2020
Ensemble Kalman inversion: a derivative-free technique for machine learning tasks. Zbl 1430.68266
Kovachki, Nikola B.; Stuart, Andrew M.
12
2019
Strong convergence rates of probabilistic integrators for ordinary differential equations. Zbl 1431.65122
Lie, Han Cheng; Stuart, A. M.; Sullivan, T. J.
8
2019
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data. Zbl 1420.35112
Gomes, Susana N.; Stuart, Andrew M.; Wolfram, Marie-Therese
6
2019
Ensemble Kalman methods with constraints. Zbl 1422.93173
Albers, David J.; Blancquart, Paul-Adrien; Levine, Matthew E.; Esmaeilzadeh Seylabi, Elnaz; Stuart, Andrew
5
2019
Diffusion limit for the random walk Metropolis algorithm out of stationarity. Zbl 1467.60056
Kuntz, Juan; Ottobre, Michela; Stuart, Andrew M.
5
2019
Posterior consistency for Gaussian process approximations of Bayesian posterior distributions. Zbl 1429.60040
Stuart, Andrew M.; Teckentrup, Aretha L.
30
2018
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
23
2018
Parameterizations for ensemble Kalman inversion. Zbl 06897207
Chada, Neil K.; Iglesias, Marco A.; Roininen, Lassi; Stuart, Andrew M.
20
2018
Convergence analysis of ensemble Kalman inversion: the linear, noisy case. Zbl 1448.65209
Schillings, C.; Stuart, A. M.
19
2018
How deep are deep Gaussian processes? Zbl 1469.60107
Dunlop, Matthew M.; Girolami, Mark A.; Stuart, Andrew M.; Teckentrup, Aretha L.
14
2018
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
14
2018
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
5
2018
Non-stationary phase of the MALA algorithm. Zbl 1415.60091
Kuntz, Juan; Ottobre, Michela; Stuart, Andrew M.
4
2018
Analysis of the ensemble Kalman filter for inverse problems. Zbl 1366.65101
Schillings, Claudia; Stuart, Andrew M.
51
2017
Importance sampling: intrinsic dimension and computational cost. Zbl 1442.62026
Agapiou, S.; Papaspiliopoulos, O.; Sanz-Alonso, D.; Stuart, A. M.
30
2017
Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627
Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M.
28
2017
Hierarchical Bayesian level set inversion. Zbl 1384.62084
Dunlop, Matthew M.; Iglesias, Marco A.; Stuart, Andrew M.
26
2017
Statistical analysis of differential equations: introducing probability measures on numerical solutions. Zbl 1384.62082
Conrad, Patrick R.; Girolami, Mark; Särkkä, Simo; Stuart, Andrew; Zygalakis, Konstantinos
21
2017
Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 06736512
Scheichl, R.; Stuart, A. M.; Teckentrup, A. L.
17
2017
Gaussian approximations for probability measures on \(\mathbb R^d\). Zbl 1390.60022
Lu, Yulong; Stuart, Andrew; Weber, Hendrik
6
2017
Gaussian approximations for transition paths in Brownian dynamics. Zbl 1375.60081
Lu, Yulong; Stuart, Andrew; Weber, Hendrik
6
2017
Filter based methods for statistical linear inverse problems. Zbl 1383.93086
Iglesias, Marco A.; Lin, Kui; Lu, Shuai; Stuart, Andrew M.
4
2017
Gaussian approximations of small noise diffusions in Kullback-Leibler divergence. Zbl 1384.28018
Sanz-Alonso, Daniel; Stuart, Andrew M.
3
2017
Derivation and analysis of simplified filters. Zbl 1365.60042
Lee, Wonjung; Stuart, Andrew
3
2017
A Bayesian level set method for geometric inverse problems. Zbl 1353.65050
Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.
20
2016
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
17
2016
A function space HMC algorithm with second order Langevin diffusion limit. Zbl 1346.60119
Ottobre, Michela; Pillai, Natesh S.; Pinski, Frank J.; Stuart, Andrew M.
16
2016
MAP estimators for piecewise continuous inversion. Zbl 1354.65112
Dunlop, M. M.; Stuart, A. M.
12
2016
Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators. Zbl 1364.93343
Law, K. J. H.; Sanz-Alonso, D.; Shukla, A.; Stuart, A. M.
10
2016
Mathematical and algorithmic aspects of data assimilation in the geosciences. Abstracts from the workshop held October 2–8, 2016. Zbl 1390.00096
1
2016
Data assimilation. A mathematical introduction. Zbl 1353.60002
Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos
106
2015
Sequential Monte Carlo methods for Bayesian elliptic inverse problems. Zbl 1331.65012
Beskos, Alexandros; Jasra, Ajay; Muzaffer, Ege A.; Stuart, Andrew M.
22
2015
Kullback-Leibler approximation for probability measures on infinite dimensional spaces. Zbl 1342.60049
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
18
2015
Algorithms for Kullback-Leibler approximation of probability measures in infinite dimensions. Zbl 1348.60033
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
17
2015
Long-time asymptotics of the filtering distribution for partially observed chaotic dynamical systems. Zbl 1337.93094
Sanz-Alonso, Daniel; Stuart, Andrew M.
8
2015
A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324
Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M.
2
2015
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
51
2014
Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time. Zbl 1305.62323
Kelly, D. T. B.; Law, K. J. H.; Stuart, A. M.
31
2014
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
19
2014
Well-posed Bayesian geometric inverse problems arising in subsurface flow. Zbl 1304.35767
Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M.
18
2014
Analysis of the 3DVAR filter for the partially observed Lorenz ’63 model. Zbl 1283.62194
Law, Kody; Shukla, Abhishek; Stuart, Andrew
14
2014
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
13
2014
Noisy gradient flow from a random walk in Hilbert space. Zbl 1308.60005
Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H.
6
2014
Determining white noise forcing from Eulerian observations in the Navier-Stokes equation. Zbl 1310.60095
Hoang, Viet Ha; Law, Kody J. H.; Stuart, Andrew M.
4
2014
MCMC methods for functions: modifying old algorithms to make them faster. Zbl 1331.62132
Cotter, S. L.; Roberts, G. O.; Stuart, A. M.; White, D.
143
2013
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
64
2013
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
56
2013
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
52
2013
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
36
2013
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems. Zbl 1284.62289
Agapiou, Sergios; Larsson, Stig; Stuart, Andrew M.
35
2013
Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013
Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C.
25
2013
Evaluation of Gaussian approximations for data assimilation in reservoir models. Zbl 1393.86020
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
22
2013
Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs. Zbl 1256.62047
Pokern, Y.; Stuart, A. M.; van Zanten, J. H.
12
2013
Accuracy and stability of filters for dissipative PDEs. Zbl 1350.65102
Brett, C. E. A.; Lam, K. F.; Law, K. J. H.; McCormick, D. S.; Scott, M. R.; Stuart, A. M.
11
2013
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
40
2012
Diffusion limits of the random walk Metropolis algorithm in high dimensions. Zbl 1254.60081
Mattingly, Jonathan C.; Pillai, Natesh S.; Stuart, Andrew M.
40
2012
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
31
2012
Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions. Zbl 1272.60053
Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H.
31
2012
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
18
2012
Variational data assimilation using targetted random walks. Zbl 1426.76629
Cotter, S. L.; Dashti, M.; Stuart, A. M.
8
2012
Multiscale modelling and inverse problems. Zbl 1245.76107
Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M.
8
2012
\(\Gamma \)-limit for transition paths of maximal probability. Zbl 1260.82039
Pinski, F. J.; Stuart, A. M.; Theil, F.
6
2012
Mathematical and algorithmic aspects of atmosphere-ocean data assimilation. Abstracts from the workshop held December 2–8, 2012. Zbl 1349.00174
1
2012
Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022
Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M.
1
2012
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
129
2011
Uncertainty quantification and weak approximation of an elliptic inverse problem. Zbl 1234.35309
Dashti, M.; Stuart, A. M.
37
2011
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
30
2011
A note on diffusion limits of chaotic skew-product flows. Zbl 1220.37009
Melbourne, I.; Stuart, A. M.
28
2011
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
14
2011
Kalman filtering and smoothing for linear wave equations with model error. Zbl 1230.62128
Lee, Wonjung; McDougall, D.; Stuart, A. M.
5
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
5
2011
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
395
2010
Convergence of numerical time-averaging and stationary measures via Poisson equations. Zbl 1217.65014
Mattingly, Jonathan C.; Stuart, Andrew M.; Tretyakov, M. V.
35
2010
Approximation of Bayesian inverse problems for PDEs. Zbl 1210.35284
Cotter, S. L.; Dashti, M.; Stuart, A. M.
32
2010
Random-weight particle filtering of continuous time processes. Zbl 1411.60109
Fearnhead, Paul; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Stuart, Andrew
9
2010
Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Zbl 1172.60328
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew
39
2009
Bayesian inverse problems for functions and applications to fluid mechanics. Zbl 1228.35269
Cotter, S. L.; Dashti, M.; Robinson, J. C.; Stuart, A. M.
26
2009
Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M.
22
2009
Parameter estimation for partially observed hypoelliptic diffusions. Zbl 1231.62152
Pokern, Yvo; Stuart, Andrew M.; Wiberg, Petter
20
2009
Sampling conditioned diffusions. Zbl 1203.60100
Hairer, Martin; Stuart, Andrew; Voß, Jochen
8
2009
Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C.
8
2009
Remarks on drift estimation for diffusion processes. Zbl 1183.62145
Pokern, Yvo; Stuart, Andrew M.; Vanden-Eijnden, Eric
3
2009
Computational complexity of Metropolis-Hastings methods in high dimensions. Zbl 1184.65002
Beskos, Alexandros; Stuart, Andrew
2
2009
Multiscale methods. Averaging and homogenization. Zbl 1160.35006
Pavliotis, Grigorios A.; Stuart, Andrew M.
240
2008
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
52
2008
A first course in continuum mechanics. Zbl 1143.74001
Gonzalez, Oscar; Stuart, Andrew M.
29
2008
Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300
Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J.
13
2008
MCMC methods for sampling function space. Zbl 1179.65003
Beskos, Alexandros; Stuart, Andrew
12
2008
Infinite dimensional random dynamical systems and their applications. Abstracts from the workshop held November 2nd – November 8th, 2008. Zbl 1177.37006
2
2008
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
41
2007
...and 77 more Documents
all top 5

Cited by 3,841 Authors

86 Stuart, Andrew M.
30 Mao, Xuerong
29 Kloeden, Peter Eris
21 Pavliotis, Grigorios A.
20 Yuan, Chenggui
19 Law, Kody J. H.
19 Titi, Edriss Saleh
18 Marzouk, Youssef M.
17 Beskos, Alexandros
17 Gan, Siqing
17 Girolami, Mark A.
17 Jasra, Ajay
17 Schwab, Christoph
17 Stoltz, Gabriel
16 Hairer, Martin
15 Danca, Marius-Florin
15 Gander, Martin Jakob
15 Higham, Desmond J.
15 Huang, Chengming
15 Jentzen, Arnulf
15 Roberts, Gareth O.
13 Chaplain, Mark A. J.
13 Reich, Sebastian
13 Shen, Jie
13 Spiliopoulos, Konstantinos V.
13 Wen, Liping
12 Colli, Pierluigi
12 Sanz-Alonso, Daniel
12 Sanz-Serna, Jesús María
12 Tong, Xin Thomson
12 Wang, Xiaojie
12 Wehr, Jan
11 Byrne, Helen Mary
11 Ghattas, Omar N.
11 Gil, Antonio J.
11 Kevrekidis, Ioannis George
11 Kim, Junseok
11 Li, Jinglai
11 Majda, Andrew J.
11 Robinson, James Cooper
11 Trillos, Nicolás García
11 Wu, Fuke
11 Xiao, Aiguo
10 Abdulle, Assyr
10 Cui, Tiangang
10 Ding, Xiaohua
10 Gottwald, Georg A.
10 Hosseini, Bamdad
10 Iglesias, Marco A.
10 Latz, Jonas
10 Lee, Hyun Geun
10 Ottobre, Michela
10 Pillai, Natesh S.
10 Schütte, Christof
10 Shin, Jaemin
10 Tempone, Raúl F.
10 Vanden-Eijnden, Eric
10 Wu, Shulin
9 Bou-Rabee, Nawaf M.
9 Chen, Peng
9 Gilardi, Gianni
9 Harlim, John
9 Lelièvre, Tony
9 Lubuma, Jean Mbaro-Saman
9 Ortigosa, Rogelio
9 Teel, Andrew Richard
9 Tian, Hongjiong
9 Ullmann, Elisabeth
9 Wang, Wansheng
9 Zong, Xiaofeng
8 Alexanderian, Alen
8 Bréhier, Charles-Edouard
8 Dunlop, Matthew M.
8 Garay, Barnabas M.
8 Hutzenthaler, Martin
8 Jiang, Lijian
8 Jiang, Yaolin
8 Liu, Mingzhu
8 Moulines, Eric
8 Nešić, Dragan
8 Nickl, Richard
8 Norbury, John W.
8 Oates, Chris J.
8 Owhadi, Houman
8 Papaioannou, Iason
8 Roberts, Anthony John
8 Roininen, Lassi
8 Sprekels, Jürgen
8 Teckentrup, Aretha L.
8 Wang, Xiaoming
8 Weber, Hendrik
7 Bao, Jianhai
7 Bardsley, Johnathan M.
7 Betsch, Peter
7 Bonfoh, Ahmed S.
7 Buckwar, Evelyn
7 Burger, Martin
7 Calvetti, Daniela
7 Crisan, Dan O.
7 Del Moral, Pierre
...and 3,741 more Authors
all top 5

Cited in 373 Serials

149 Journal of Computational Physics
144 Journal of Computational and Applied Mathematics
92 SIAM/ASA Journal on Uncertainty Quantification
81 SIAM Journal on Scientific Computing
63 Computer Methods in Applied Mechanics and Engineering
61 Applied Mathematics and Computation
58 Inverse Problems
58 Applied Numerical Mathematics
49 Statistics and Computing
48 Journal of Statistical Physics
47 Journal of Mathematical Analysis and Applications
46 Computers & Mathematics with Applications
46 Physica D
37 SIAM Journal on Numerical Analysis
35 The Annals of Applied Probability
35 Multiscale Modeling & Simulation
34 Stochastic Processes and their Applications
31 Journal of Scientific Computing
30 BIT
29 Journal of Difference Equations and Applications
28 Mathematics of Computation
28 Numerische Mathematik
27 International Journal of Computer Mathematics
24 Journal of Differential Equations
23 Computational Geosciences
23 SIAM Journal on Applied Dynamical Systems
23 Communications in Computational Physics
20 Numerical Algorithms
20 Bernoulli
20 Communications in Nonlinear Science and Numerical Simulation
19 Journal of Nonlinear Science
18 Chaos
18 Discrete and Continuous Dynamical Systems. Series B
16 Mathematical and Computer Modelling
16 Stochastics and Dynamics
15 Nonlinearity
15 Bulletin of Mathematical Biology
15 Automatica
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 European Journal of Applied Mathematics
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Nonlinear Analysis. Real World Applications
15 Electronic Journal of Statistics
14 SIAM Journal on Mathematical Analysis
13 Stochastic Analysis and Applications
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 SIAM Journal on Applied Mathematics
13 SIAM Review
13 Inverse Problems and Imaging
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Archive for Rational Mechanics and Analysis
12 Journal of Mathematical Biology
12 Mathematical Methods in the Applied Sciences
12 Computational Mechanics
12 Journal of Machine Learning Research (JMLR)
12 Advances in Difference Equations
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Advances in Applied Probability
11 The Annals of Probability
11 The Annals of Statistics
11 Mathematics and Computers in Simulation
11 Nonlinear Dynamics
11 Journal of Theoretical Biology
10 Journal of Fluid Mechanics
10 SIAM Journal on Control and Optimization
10 Probability Theory and Related Fields
10 Applied Mathematics Letters
10 Computational Statistics and Data Analysis
10 Discrete and Continuous Dynamical Systems
10 Abstract and Applied Analysis
10 Journal of Applied Mathematics and Computing
10 Foundations of Data Science
9 Applicable Analysis
9 Mathematical Biosciences
9 Chaos, Solitons and Fractals
9 Transactions of the American Mathematical Society
9 Systems & Control Letters
9 Applied Mathematical Modelling
9 Stochastic and Partial Differential Equations. Analysis and Computations
9 Research in the Mathematical Sciences
8 Computers and Fluids
8 Communications in Mathematical Physics
8 Applied Mathematics and Optimization
8 Statistics & Probability Letters
8 SIAM Journal on Imaging Sciences
8 Bayesian Analysis
8 Journal of Computational Dynamics
7 Scandinavian Journal of Statistics
7 Journal of the American Statistical Association
7 Journal of Applied Probability
7 Numerical Functional Analysis and Optimization
7 Physics of Fluids
7 Advances in Computational Mathematics
7 Monte Carlo Methods and Applications
7 Mathematical Problems in Engineering
7 Foundations of Computational Mathematics
7 Communications on Pure and Applied Analysis
7 Acta Numerica
7 Discrete and Continuous Dynamical Systems. Series S
6 Communications on Pure and Applied Mathematics
...and 273 more Serials
all top 5

Cited in 47 Fields

1,462 Numerical analysis (65-XX)
886 Probability theory and stochastic processes (60-XX)
757 Partial differential equations (35-XX)
559 Statistics (62-XX)
394 Ordinary differential equations (34-XX)
322 Dynamical systems and ergodic theory (37-XX)
265 Fluid mechanics (76-XX)
248 Biology and other natural sciences (92-XX)
184 Statistical mechanics, structure of matter (82-XX)
181 Systems theory; control (93-XX)
114 Computer science (68-XX)
98 Mechanics of deformable solids (74-XX)
79 Calculus of variations and optimal control; optimization (49-XX)
71 Geophysics (86-XX)
61 Integral equations (45-XX)
58 Classical thermodynamics, heat transfer (80-XX)
55 Operations research, mathematical programming (90-XX)
54 Operator theory (47-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
45 Information and communication theory, circuits (94-XX)
44 Mechanics of particles and systems (70-XX)
40 Difference and functional equations (39-XX)
40 Optics, electromagnetic theory (78-XX)
22 Approximations and expansions (41-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Quantum theory (81-XX)
12 Functional analysis (46-XX)
11 Measure and integration (28-XX)
10 Real functions (26-XX)
8 Combinatorics (05-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Differential geometry (53-XX)
5 History and biography (01-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-XX)
2 Mathematical logic and foundations (03-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
1 General and overarching topics; collections (00-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.