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Author ID: stuart.andrew-m Recent zbMATH articles by "Stuart, Andrew M."
Published as: Stuart, A. M.; Stuart, Andrew M.; Stuart, Andrew; Stuart, A.
Homepage: http://stuart.caltech.edu/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · IdRef
Awards: J.D. Crawford Prize (2007)
all top 5

Co-Authors

16 single-authored
14 Pavliotis, Grigorios A.
12 Law, Kody J. H.
10 Voss, Jochen
9 Beskos, Alexandros
8 Bhattacharya, Kaushik
8 Dunlop, Matthew M.
8 Hairer, Martin
7 Dashti, Masoumeh
7 Humphries, Antony R.
7 Iglesias, Marco A.
7 Norbury, John W.
7 Pillai, Natesh S.
7 Roberts, Gareth O.
7 Zygalakis, Konstantinos C.
6 Higham, Desmond J.
6 Hoffmann, Franca
6 Hosseini, Bamdad
6 Kovachki, Nikola B.
6 Li, Zongyi
6 Liu, Burigede
6 Reich, Sebastian
6 Schneider, Tapio
5 Anandkumar, Anima
5 Azizzadenesheli, Kamyar
5 Chen, Yifan
5 Elliott, Charles M.
5 Huang, Daniel Zhengyu
5 Mattingly, Jonathan Christopher
5 Pinski, Frank J.
5 Pokern, Yvo
5 Sanz-Alonso, Daniel
5 Sanz-Serna, Jesús María
4 Agapiou, Sergios
4 Cotter, Simon L.
4 Girolami, Mark A.
4 Levine, Matthew E.
4 Papaspiliopoulos, Omiros
4 Sigurgeirsson, Hersir
4 Teckentrup, Aretha L.
4 Thiéry, Alexandre H.
4 Vaes, Urbain
4 Weber, Hendrik
3 Bai, Fengshan
3 Budd, Christopher John
3 Carrillo de la Plata, José Antonio
3 Dunbar, Oliver R. A.
3 Garbuno-Inigo, Alfredo
3 Hoang, Viet Ha
3 Huang, Jiaoyang
3 Jones, Don A.
3 Lamba, Harbir
3 Lanthaler, Samuel
3 Lu, Yulong
3 Ottobre, Michela
3 Owhadi, Houman
3 Spence, Alastair
3 Wiberg, Petter
3 Wolfram, Marie-Therese
3 Wu, JinLong
2 Albers, David J.
2 Apte, Amit
2 Bertozzi, Andrea Louise
2 Brett, C. E. A.
2 Cano, Begoña
2 Chada, Neil K.
2 Chaplain, Mark A. J.
2 de Hoop, Maarten V.
2 Duncan, Andrew B.
2 Estep, Donald J.
2 Fearnhead, Paul
2 Griewank, Andreas
2 Helin, Tapio
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 McCormick, David S.
2 Nelsen, Nicholas H.
2 Peplow, Andrew T.
2 Roulstone, Ian
2 Schillings, Claudia
2 Schwab, Christoph
2 Shukla, Abhishek Kumar
2 Simpson, Gideon
2 Trautner, Margaret
2 Warren, J. O.
1 Abdulle, Assyr
1 Adams, Ryan Prescott
1 Anaya-Izquierdo, Karim Alejandro
1 Archambeau, Cédric
1 Bach, Eviatar
1 Band, Leah R.
1 Bardsley, Johnathan M.
1 Barkley, Dwight
1 Barthelmé, Simon
...and 160 more Co-Authors
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Serials

14 Inverse Problems
12 SIAM Journal on Numerical Analysis
8 Journal of Computational Physics
8 SIAM Journal on Applied Mathematics
6 Physica D
6 The Annals of Applied Probability
6 Multiscale Modeling & Simulation
6 Communications in Mathematical Sciences
6 SIAM/ASA Journal on Uncertainty Quantification
5 IMA Journal of Numerical Analysis
5 Nonlinearity
5 Stochastic Processes and their Applications
5 SIAM Journal on Scientific Computing
4 IMA Journal of Applied Mathematics
4 Mathematics of Computation
4 SIAM Journal on Applied Dynamical Systems
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 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 Foundations of Computational Mathematics
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 Studies in Applied Mathematics
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 Acta Numerica
1 London Mathematical Society Student Texts
1 Transactions of Mathematics and its Applications
1 Cambridge Texts in Applied Mathematics
1 Communications of the American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

194 Publications have been cited 6,342 times in 3,693 Documents Cited by Year
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
560
2010
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
343
2002
Multiscale methods. Averaging and homogenization. Zbl 1160.35006
Pavliotis, Grigorios A.; Stuart, Andrew M.
334
2008
Dynamical systems and numerical analysis. Zbl 0869.65043
Stuart, A. M.; Humphries, A. R.
258
1996
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
248
2011
Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise. Zbl 1075.60072
Mattingly, J. C.; Stuart, A. M.; Higham, D. J.
237
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.
204
2013
Data assimilation. A mathematical introduction. Zbl 1353.60002
Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos
171
2015
The global dynamics of discrete semilinear parabolic equations. Zbl 0792.65066
Elliott, C. M.; Stuart, A. M.
159
1993
Dynamical systems and numerical analysis. Zbl 0913.65068
Stuart, A. M.; Humphries, A. R.
125
1998
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
111
2004
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
105
2013
Exponential mean-square stability of numerical solutions to stochastic differential equations. Zbl 1055.65009
Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.
85
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.
84
1993
Analysis of the ensemble Kalman filter for inverse problems. Zbl 1366.65101
Schillings, Claudia; Stuart, Andrew M.
83
2017
Space-time continuous analysis of waveform relaxation for the heat equation. Zbl 0911.65082
Gander, Martin J.; Stuart, Andrew M.
79
1998
Viscous Cahn-Hilliard equation. II: Analysis. Zbl 0855.35067
Elliott, C. M.; Stuart, A. M.
76
1996
MAP estimators and their consistency in Bayesian nonparametric inverse problems. Zbl 1281.62089
Dashti, M.; Law, K. J. H.; Stuart, A. M.; Voss, J.
75
2013
Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions. Zbl 1307.65002
Hairer, Martin; Stuart, Andrew M.; Vollmer, Sebastian J.
73
2014
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
72
2008
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
66
2013
Runge-Kutta methods for dissipative and gradient dynamical systems. Zbl 0807.34057
Humphries, A. R.; Stuart, A. M.
64
1994
The viscous Cahn-Hilliard equation. I: Computations. Zbl 0818.35045
Bai, F.; Elliott, C. M.; Gardiner, A.; Spence, A.; Stuart, A. M.
61
1995
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
58
2020
Importance sampling: intrinsic dimension and computational cost. Zbl 1442.62026
Agapiou, S.; Papaspiliopoulos, O.; Sanz-Alonso, D.; Stuart, A. M.
52
2017
Convergence of numerical time-averaging and stationary measures via Poisson equations. Zbl 1217.65014
Mattingly, Jonathan C.; Stuart, Andrew M.; Tretyakov, M. V.
52
2010
Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627
Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M.
51
2017
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
50
2012
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
49
2013
Uncertainty quantification and weak approximation of an elliptic inverse problem. Zbl 1234.35309
Dashti, M.; Stuart, A. M.
48
2011
Analysis of SPDEs arising in path sampling. II: The nonlinear case. Zbl 1140.60329
Hairer, M.; Stuart, A. M.; Voss, J.
47
2007
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
45
2011
Model reduction and neural networks for parametric PDEs. Zbl 1481.65260
Bhattacharya, Kaushik; Hosseini, Bamdad; Kovachki, Nikola B.; Stuart, Andrew M.
45
2021
Approximation of Bayesian inverse problems for PDEs. Zbl 1210.35284
Cotter, S. L.; Dashti, M.; Stuart, A. M.
44
2010
Posterior consistency for Gaussian process approximations of Bayesian posterior distributions. Zbl 1429.60040
Stuart, Andrew M.; Teckentrup, Aretha L.
43
2018
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
43
2012
Diffusion limits of the random walk Metropolis algorithm in high dimensions. Zbl 1254.60081
Mattingly, Jonathan C.; Pillai, Natesh S.; Stuart, Andrew M.
43
2012
Blow-up in a partial differential equation with conserved first integral. Zbl 0784.35009
Budd, Chris; Dold, Bill; Stuart, Andrew
42
1993
Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Zbl 1172.60328
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew
42
2009
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems. Zbl 1284.62289
Agapiou, Sergios; Larsson, Stig; Stuart, Andrew M.
41
2013
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.
41
2014
Model problems in numerical stability theory for initial value problems. Zbl 0807.65091
Stuart, A. M.; Humphries, A. R.
41
1994
A first course in continuum mechanics. Zbl 1143.74001
Gonzalez, Oscar; Stuart, Andrew M.
40
2008
Parameter estimation for multiscale diffusions. Zbl 1137.82016
Pavliotis, G. A.; Stuart, A. M.
40
2007
Convergence analysis of ensemble Kalman inversion: the linear, noisy case. Zbl 1448.65209
Schillings, C.; Stuart, A. M.
39
2018
Bayesian inverse problems for functions and applications to fluid mechanics. Zbl 1228.35269
Cotter, S. L.; Dashti, M.; Robinson, J. C.; Stuart, A. M.
39
2009
Hierarchical Bayesian level set inversion. Zbl 1384.62084
Dunlop, Matthew M.; Iglesias, Marco A.; Stuart, Andrew M.
37
2017
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.
36
2013
A note on diffusion limits of chaotic skew-product flows. Zbl 1220.37009
Melbourne, I.; Stuart, A. M.
35
2011
Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions. Zbl 1272.60053
Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H.
35
2012
Ensemble Kalman inversion: a derivative-free technique for machine learning tasks. Zbl 1430.68266
Kovachki, Nikola B.; Stuart, Andrew M.
34
2019
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
34
2005
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
32
2018
An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability. Zbl 1127.65005
Lamba, H.; Mattingly, J. C.; Stuart, A. M.
32
2007
A Bayesian level set method for geometric inverse problems. Zbl 1353.65050
Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.
31
2016
Evaluation of Gaussian approximations for data assimilation in reservoir models. Zbl 1393.86020
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
31
2013
Sequential Monte Carlo methods for Bayesian elliptic inverse problems. Zbl 1331.65012
Beskos, Alexandros; Jasra, Ajay; Muzaffer, Ege A.; Stuart, Andrew M.
31
2015
Parameterizations for ensemble Kalman inversion. Zbl 1515.62041
Chada, Neil K.; Iglesias, Marco A.; Roininen, Lassi; Stuart, Andrew M.
30
2018
Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026
Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J.
30
2007
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
29
2017
A perturbation theory for ergodic Markov chains and application to numerical approximations. Zbl 0961.60068
Shardlow, T.; Stuart, A. M.
29
2000
Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M.
29
2009
Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T.
28
2020
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
27
2016
On the computation of blow-up. Zbl 0701.76038
Stuart, A. M.; Floater, M. S.
27
1990
Conditional path sampling of SDEs and the Langevin MCMC method. Zbl 1082.65004
Stuart, Andrew M.; Voss, Jochen; Wiberg, Petter
27
2004
Well-posed Bayesian geometric inverse problems arising in subsurface flow. Zbl 1304.35767
Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M.
26
2014
Numerical wave propagation in an advection equation with a nonlinear source term. Zbl 0759.65060
Griffiths, D. F.; Stuart, A. M.; Yee, H. C.
26
1992
Ergodicity of dissipative differential equations subject to random impulses. Zbl 0934.34047
Sanz-Serna, J. M.; Stuart, A. M.
25
1999
Algorithms for Kullback-Leibler approximation of probability measures in infinite dimensions. Zbl 1348.60033
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
25
2015
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
25
2012
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.
24
2016
Geometric ergodicity of some hypo-elliptic diffusions for particle motions. Zbl 1014.60059
Mattingly, J. C.; Stuart, A. M.
24
2002
Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 1516.65118
Scheichl, R.; Stuart, A. M.; Teckentrup, A. L.
24
2017
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
24
2014
Solving and learning nonlinear PDEs with Gaussian processes. Zbl 07516428
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M.
24
2021
How deep are deep Gaussian processes? Zbl 1469.60107
Dunlop, Matthew M.; Girolami, Mark A.; Stuart, Andrew M.; Teckentrup, Aretha L.
23
2018
Parameter estimation for partially observed hypoelliptic diffusions. Zbl 1231.62152
Pokern, Yvo; Stuart, Andrew M.; Wiberg, Petter
23
2009
Kullback-Leibler approximation for probability measures on infinite dimensional spaces. Zbl 1342.60049
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
22
2015
Algorithms for particle-field simulations with collisions. Zbl 1158.82300
Sigurgeirsson, Hersir; Stuart, Andrew; Wan, Wing-Lok
20
2001
White noise limits for inertial particles in a random field. Zbl 1038.60060
Pavliotis, G. A.; Stuart, A. M.
20
2003
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
20
2011
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
The random feature model for input-output maps between Banach spaces. Zbl 07398767
Nelsen, Nicholas H.; Stuart, Andrew M.
19
2021
Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300
Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J.
19
2008
A model for preferential concentration. Zbl 1185.76341
Sigurgeirsson, H.; Stuart, A. M.
19
2002
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
18
2018
Numerical analysis of dynamical systems. Zbl 0809.65076
Stuart, Andrew M.
18
1994
Analysis of the 3DVAR filter for the partially observed Lorenz ’63 model. Zbl 1283.62194
Law, Kody; Shukla, Abhishek; Stuart, Andrew
18
2014
Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs. Zbl 1256.62047
Pokern, Y.; Stuart, A. M.; van Zanten, J. H.
17
2013
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
16
2014
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.
15
2002
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data. Zbl 1420.35112
Gomes, Susana N.; Stuart, Andrew M.; Wolfram, Marie-Therese
15
2019
Ensemble Kalman methods with constraints. Zbl 1422.93173
Albers, David J.; Blancquart, Paul-Adrien; Levine, Matthew E.; Esmaeilzadeh Seylabi, Elnaz; Stuart, Andrew
15
2019
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.
15
1994
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
15
2020
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.
14
2016
Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075
Norbury, J.; Stuart, A. M.
14
1987
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
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.
14
2013
Inverse problems and data assimilation. Zbl 07704049
Sanz-Alonso, Daniel; Stuart, Andrew; Taeb, Armeen
5
2023
Drift estimation of multiscale diffusions based on filtered data. Zbl 07654468
Abdulle, Assyr; Garegnani, Giacomo; Pavliotis, Grigorios A.; Stuart, Andrew M.; Zanoni, Andrea
1
2023
Convergence rates for learning linear operators from noisy data. Zbl 1514.62075
de Hoop, Maarten V.; Kovachki, Nikola B.; Nelsen, Nicholas H.; Stuart, Andrew M.
1
2023
A framework for machine learning of model error in dynamical systems. Zbl 07750994
Levine, Matthew E.; Stuart, Andrew M.
7
2022
Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
4
2022
Efficient derivative-free Bayesian inference for large-scale inverse problems. Zbl 07611872
Huang, Daniel Zhengyu; Huang, Jiaoyang; Reich, Sebastian; Stuart, Andrew M.
4
2022
Spectral analysis of weighted Laplacians arising in data clustering. Zbl 07432352
Hoffmann, Franca; Hosseini, Bamdad; Oberai, Assad A.; Stuart, Andrew M.
4
2022
Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data. Zbl 07599603
Schneider, Tapio; Stuart, Andrew M.; Wu, Jin-Long
4
2022
Iterated Kalman methodology for inverse problems. Zbl 07536763
Huang, Daniel Zhengyu; Schneider, Tapio; Stuart, Andrew M.
3
2022
Consensus-based sampling. Zbl 07776519
Carrillo, J. A.; Hoffmann, F.; Stuart, A. M.; Vaes, U.
2
2022
Ensemble inference methods for models with noisy and expensive likelihoods. Zbl 1493.62124
Dunbar, Oliver R. A.; Duncan, Andrew B.; Stuart, Andrew M.; Wolfram, Marie-Therese
1
2022
Model reduction and neural networks for parametric PDEs. Zbl 1481.65260
Bhattacharya, Kaushik; Hosseini, Bamdad; Kovachki, Nikola B.; Stuart, Andrew M.
45
2021
Solving and learning nonlinear PDEs with Gaussian processes. Zbl 07516428
Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M.
24
2021
The random feature model for input-output maps between Banach spaces. Zbl 07398767
Nelsen, Nicholas H.; Stuart, Andrew M.
19
2021
Kernel analog forecasting: multiscale test problems. Zbl 1487.60088
Burov, Dmitry; Giannakis, Dimitrios; Manohar, Krithika; Stuart, Andrew
11
2021
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation. Zbl 1472.62012
Chen, Yifan; Owhadi, Houman; Stuart, Andrew M.
9
2021
Calibrate, emulate, sample. Zbl 07508438
Cleary, Emmet; Garbuno-Inigo, Alfredo; Lan, Shiwei; Schneider, Tapio; Stuart, Andrew M.
8
2021
Learning stochastic closures using ensemble Kalman inversion. Zbl 1478.60129
Schneider, Tapio; Stuart, Andrew M.; Wu, Jin-Long
7
2021
Continuous time analysis of momentum methods. Zbl 07370534
Kovachki, Nikola B.; Stuart, Andrew M.
2
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
58
2020
Tikhonov regularization within ensemble Kalman inversion. Zbl 1447.35337
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T.
28
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
15
2020
Hyperparameter estimation in Bayesian MAP estimation: parameterizations and consistency. Zbl 1441.62084
Dunlop, Matthew M.; Helin, Tapio; Stuart, Andrew M.
9
2020
Diffusive optical tomography in the Bayesian framework. Zbl 1440.62254
Newton, Kit; Li, Qin; Stuart, Andrew M.
4
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.
3
2020
Consistency of semi-supervised learning algorithms on graphs: probit and one-hot methods. Zbl 1527.68179
Hoffmann, Franca; Hosseini, Bamdad; Ren, Zhi; Stuart, Andrew M.
2
2020
Inverse optimal transport. Zbl 1434.90092
Stuart, Andrew M.; Wolfram, Marie-Therese
2
2020
Ensemble Kalman inversion: a derivative-free technique for machine learning tasks. Zbl 1430.68266
Kovachki, Nikola B.; Stuart, Andrew M.
34
2019
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data. Zbl 1420.35112
Gomes, Susana N.; Stuart, Andrew M.; Wolfram, Marie-Therese
15
2019
Ensemble Kalman methods with constraints. Zbl 1422.93173
Albers, David J.; Blancquart, Paul-Adrien; Levine, Matthew E.; Esmaeilzadeh Seylabi, Elnaz; Stuart, Andrew
15
2019
Strong convergence rates of probabilistic integrators for ordinary differential equations. Zbl 1431.65122
Lie, Han Cheng; Stuart, A. M.; Sullivan, T. J.
12
2019
Diffusion limit for the random walk Metropolis algorithm out of stationarity. Zbl 1467.60056
Kuntz, Juan; Ottobre, Michela; Stuart, Andrew M.
8
2019
Posterior consistency for Gaussian process approximations of Bayesian posterior distributions. Zbl 1429.60040
Stuart, Andrew M.; Teckentrup, Aretha L.
43
2018
Convergence analysis of ensemble Kalman inversion: the linear, noisy case. Zbl 1448.65209
Schillings, C.; Stuart, A. M.
39
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.
32
2018
Parameterizations for ensemble Kalman inversion. Zbl 1515.62041
Chada, Neil K.; Iglesias, Marco A.; Roininen, Lassi; Stuart, Andrew M.
30
2018
How deep are deep Gaussian processes? Zbl 1469.60107
Dunlop, Matthew M.; Girolami, Mark A.; Stuart, Andrew M.; Teckentrup, Aretha L.
23
2018
Iterative updating of model error for Bayesian inversion. Zbl 1386.65056
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew
18
2018
Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. Zbl 1413.65008
Brehier, Charles Edouard; Hairer, Martin; Stuart, Andrew M.
8
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.
83
2017
Importance sampling: intrinsic dimension and computational cost. Zbl 1442.62026
Agapiou, S.; Papaspiliopoulos, O.; Sanz-Alonso, D.; Stuart, A. M.
52
2017
Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627
Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M.
51
2017
Hierarchical Bayesian level set inversion. Zbl 1384.62084
Dunlop, Matthew M.; Iglesias, Marco A.; Stuart, Andrew M.
37
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
29
2017
Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 1516.65118
Scheichl, R.; Stuart, A. M.; Teckentrup, A. L.
24
2017
Gaussian approximations for probability measures on \(\mathbb R^d\). Zbl 1390.60022
Lu, Yulong; Stuart, Andrew; Weber, Hendrik
11
2017
Gaussian approximations for transition paths in Brownian dynamics. Zbl 1375.60081
Lu, Yulong; Stuart, Andrew; Weber, Hendrik
11
2017
Filter based methods for statistical linear inverse problems. Zbl 1383.93086
Iglesias, Marco A.; Lin, Kui; Lu, Shuai; Stuart, Andrew M.
7
2017
Gaussian approximations of small noise diffusions in Kullback-Leibler divergence. Zbl 1384.28018
Sanz-Alonso, Daniel; Stuart, Andrew M.
5
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.
31
2016
The Bayesian formulation of EIT: analysis and algorithms. Zbl 1348.62104
Dunlop, Matthew M.; Stuart, Andrew M.
27
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.
24
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.
14
2016
MAP estimators for piecewise continuous inversion. Zbl 1354.65112
Dunlop, M. M.; Stuart, A. M.
13
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
171
2015
Sequential Monte Carlo methods for Bayesian elliptic inverse problems. Zbl 1331.65012
Beskos, Alexandros; Jasra, Ajay; Muzaffer, Ege A.; Stuart, Andrew M.
31
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.
25
2015
Kullback-Leibler approximation for probability measures on infinite dimensional spaces. Zbl 1342.60049
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H.
22
2015
Long-time asymptotics of the filtering distribution for partially observed chaotic dynamical systems. Zbl 1337.93094
Sanz-Alonso, Daniel; Stuart, Andrew M.
10
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.
73
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.
41
2014
Well-posed Bayesian geometric inverse problems arising in subsurface flow. Zbl 1304.35767
Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M.
26
2014
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
24
2014
Analysis of the 3DVAR filter for the partially observed Lorenz ’63 model. Zbl 1283.62194
Law, Kody; Shukla, Abhishek; Stuart, Andrew
18
2014
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
16
2014
Noisy gradient flow from a random walk in Hilbert space. Zbl 1308.60005
Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H.
7
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.
6
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.
204
2013
Ensemble Kalman methods for inverse problems. Zbl 1311.65064
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
105
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.
75
2013
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
66
2013
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
49
2013
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems. Zbl 1284.62289
Agapiou, Sergios; Larsson, Stig; Stuart, Andrew M.
41
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.
36
2013
Evaluation of Gaussian approximations for data assimilation in reservoir models. Zbl 1393.86020
Iglesias, Marco A.; Law, Kody J. H.; Stuart, Andrew M.
31
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.
17
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.
14
2013
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
50
2012
Besov priors for Bayesian inverse problems. Zbl 1243.62032
Dashti, Masoumeh; Harris, Stephen; Stuart, Andrew
43
2012
Diffusion limits of the random walk Metropolis algorithm in high dimensions. Zbl 1254.60081
Mattingly, Jonathan C.; Pillai, Natesh S.; Stuart, Andrew M.
43
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.
35
2012
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
25
2012
Multiscale modelling and inverse problems. Zbl 1245.76107
Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M.
12
2012
\(\Gamma \)-limit for transition paths of maximal probability. Zbl 1260.82039
Pinski, F. J.; Stuart, A. M.; Theil, F.
9
2012
Variational data assimilation using targetted random walks. Zbl 1426.76629
Cotter, S. L.; Dashti, M.; Stuart, A. M.
8
2012
Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022
Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M.
3
2012
Mathematical and algorithmic aspects of atmosphere-ocean data assimilation. Abstracts from the workshop held December 2–8, 2012. Zbl 1349.00174
1
2012
Riemann manifold Langevin and Hamiltonian Monte Carlo methods. With discussion and authors’ reply. Zbl 1411.62071
Girolami, Mark; Calderhead, Ben
248
2011
Uncertainty quantification and weak approximation of an elliptic inverse problem. Zbl 1234.35309
Dashti, M.; Stuart, A. M.
48
2011
Hybrid Monte Carlo on Hilbert spaces. Zbl 1235.60091
Beskos, A.; Pinski, F. J.; Sanz-Serna, J. M.; Stuart, A. M.
45
2011
A note on diffusion limits of chaotic skew-product flows. Zbl 1220.37009
Melbourne, I.; Stuart, A. M.
35
2011
Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. Zbl 1262.94012
Hairer, M.; Stuart, A.; Voss, J.
20
2011
Sampling conditioned hypoelliptic diffusions. Zbl 1219.60062
Hairer, Martin; Stuart, Andrew M.; Voss, Jochen
7
2011
Kalman filtering and smoothing for linear wave equations with model error. Zbl 1230.62128
Lee, Wonjung; McDougall, D.; Stuart, A. M.
5
2011
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
560
2010
Convergence of numerical time-averaging and stationary measures via Poisson equations. Zbl 1217.65014
Mattingly, Jonathan C.; Stuart, Andrew M.; Tretyakov, M. V.
52
2010
...and 94 more Documents
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Cited by 5,118 Authors

98 Stuart, Andrew M.
33 Mao, Xuerong
32 Pavliotis, Grigorios A.
31 Kloeden, Peter Eris
25 Law, Kody J. H.
25 Marzouk, Youssef M.
24 Girolami, Mark A.
23 Jasra, Ajay
22 Stoltz, Gabriel
20 Beskos, Alexandros
20 Gan, Siqing
20 Ghattas, Omar N.
20 Roberts, Gareth O.
20 Yuan, Chenggui
19 Titi, Edriss Saleh
19 Tong, Xin Thomson
18 Danca, Marius-Florin
18 Gander, Martin Jakob
18 Schwab, Christoph
17 Cui, Tiangang
17 Hairer, Martin
17 Reich, Sebastian
17 Sanz-Alonso, Daniel
16 Huang, Chengming
16 Jentzen, Arnulf
16 Kevrekidis, Ioannis George
16 Spiliopoulos, Konstantinos V.
16 Wu, Fuke
15 Bréhier, Charles-Edouard
15 Higham, Desmond J.
15 Kim, Junseok
15 Owhadi, Houman
15 Sanz-Serna, Jesús María
15 Xiao, Aiguo
14 Chen, Peng
14 Gil, Antonio J.
14 Latz, Jonas
14 Schütte, Christof
14 Sullivan, Tim
14 Wang, Xiaojie
14 Xie, Longjie
13 Abdulle, Assyr
13 Chaplain, Mark A. J.
13 Colli, Pierluigi
13 Li, Jinglai
13 Shen, Jie
13 Tempone, Raúl F.
13 Wen, Liping
12 Bou-Rabee, Nawaf M.
12 Byrne, Helen Mary
12 Hosseini, Bamdad
12 Lelièvre, Tony
12 Liu, Mingzhu
12 Majda, Andrew J.
12 Ortigosa, Rogelio
12 Ottobre, Michela
12 Stadler, Georg
12 Trillos, Nicolás García
12 Vanden-Eijnden, Eric
12 Wehr, Jan
11 Crisan, Dan O.
11 Harlim, John
11 Iglesias, Marco A.
11 Lee, Hyun Geun
11 Lubuma, Jean Mbaro-Saman
11 Pillai, Natesh S.
11 Robinson, James Cooper
11 Schillings, Claudia
11 Terefe, Yibeltal Adane
11 Wang, Wansheng
10 Chada, Neil K.
10 Del Moral, Pierre
10 Ding, Xiaohua
10 Duan, Jinqiao
10 Duncan, Andrew B.
10 Gilardi, Gianni
10 Gottwald, Georg A.
10 Hong, Jialin
10 Jiang, Lijian
10 Lu, Jianfeng
10 Papaioannou, Iason
10 Shin, Jaemin
10 Sprungk, Björn
10 Wang, Xiaoming
10 Wu, Shulin
10 Yan, Liang
10 Zhang, Zhiwen
10 Zygalakis, Konstantinos C.
9 Alexanderian, Alen
9 Bao, Jianhai
9 Bardsley, Johnathan M.
9 Bui-Thanh, Tan
9 Burger, Martin
9 Dunlop, Matthew M.
9 Giannakis, Dimitrios
9 Guo, Qian
9 Helin, Tapio
9 Kamatani, Kengo
9 Koltai, Péter
9 Kou, Jisheng
...and 5,018 more Authors
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Cited in 426 Serials

232 Journal of Computational Physics
160 Journal of Computational and Applied Mathematics
125 SIAM/ASA Journal on Uncertainty Quantification
103 SIAM Journal on Scientific Computing
102 Inverse Problems
90 Computer Methods in Applied Mechanics and Engineering
69 Applied Numerical Mathematics
68 Applied Mathematics and Computation
67 Physica D
67 Statistics and Computing
60 Computers & Mathematics with Applications
52 Journal of Mathematical Analysis and Applications
52 Journal of Statistical Physics
52 Journal of Scientific Computing
51 Multiscale Modeling & Simulation
48 Stochastic Processes and their Applications
47 SIAM Journal on Numerical Analysis
42 The Annals of Applied Probability
36 International Journal of Computer Mathematics
34 BIT
34 SIAM Journal on Applied Dynamical Systems
31 Mathematics of Computation
31 Numerische Mathematik
30 Journal of Differential Equations
30 Communications in Nonlinear Science and Numerical Simulation
29 Journal of Difference Equations and Applications
28 Bernoulli
28 Communications in Computational Physics
26 Computational Geosciences
25 Journal of Nonlinear Science
25 Discrete and Continuous Dynamical Systems. Series B
22 Numerical Algorithms
22 SIAM Journal on Mathematical Analysis
22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Mathematical Methods in the Applied Sciences
21 Nonlinearity
21 Bulletin of Mathematical Biology
21 Journal of Machine Learning Research (JMLR)
21 Inverse Problems and Imaging
19 Journal of Fluid Mechanics
19 Stochastics and Dynamics
18 Applied Mathematics Letters
18 European Journal of Applied Mathematics
18 Chaos
17 SIAM Journal on Applied Mathematics
17 SIAM Review
17 Nonlinear Analysis. Real World Applications
17 Electronic Journal of Statistics
16 Automatica
16 Mathematical and Computer Modelling
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Foundations of Data Science
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Stochastic Analysis and Applications
15 Computational Mechanics
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Advances in Difference Equations
15 SIAM Journal on Imaging Sciences
15 Journal of Computational and Graphical Statistics
14 Journal of Mathematical Biology
14 Mathematics and Computers in Simulation
14 Discrete and Continuous Dynamical Systems. Series S
13 Advances in Applied Probability
13 Archive for Rational Mechanics and Analysis
13 The Annals of Statistics
13 Journal of Applied Probability
13 Bayesian Analysis
13 Journal of Computational Dynamics
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Communications in Mathematical Physics
12 Journal of the American Statistical Association
12 SIAM Journal on Control and Optimization
12 Probability Theory and Related Fields
12 Numerical Methods for Partial Differential Equations
12 Computational Statistics and Data Analysis
12 Nonlinear Dynamics
12 Acta Numerica
12 Journal of Theoretical Biology
12 Stochastic and Partial Differential Equations. Analysis and Computations
12 Research in the Mathematical Sciences
11 Applicable Analysis
11 The Annals of Probability
11 Applied Mathematics and Optimization
11 Statistics & Probability Letters
11 Computational Statistics
11 Applied Mathematical Modelling
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Discrete and Continuous Dynamical Systems
11 Foundations of Computational Mathematics
11 Journal of Applied Mathematics and Computing
10 Computers and Fluids
10 Scandinavian Journal of Statistics
10 International Journal for Numerical Methods in Engineering
10 Abstract and Applied Analysis
9 Communications on Pure and Applied Mathematics
9 Mathematical Biosciences
9 Chaos, Solitons and Fractals
9 Transactions of the American Mathematical Society
9 Systems & Control Letters
9 Applied and Computational Harmonic Analysis
...and 326 more Serials
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Cited in 49 Fields

1,977 Numerical analysis (65-XX)
1,160 Probability theory and stochastic processes (60-XX)
1,019 Partial differential equations (35-XX)
832 Statistics (62-XX)
455 Ordinary differential equations (34-XX)
399 Dynamical systems and ergodic theory (37-XX)
339 Fluid mechanics (76-XX)
313 Biology and other natural sciences (92-XX)
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229 Systems theory; control (93-XX)
138 Mechanics of deformable solids (74-XX)
113 Calculus of variations and optimal control; optimization (49-XX)
96 Geophysics (86-XX)
82 Operations research, mathematical programming (90-XX)
74 Classical thermodynamics, heat transfer (80-XX)
72 Integral equations (45-XX)
70 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
68 Operator theory (47-XX)
60 Information and communication theory, circuits (94-XX)
59 Mechanics of particles and systems (70-XX)
55 Optics, electromagnetic theory (78-XX)
43 Difference and functional equations (39-XX)
36 Approximations and expansions (41-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
21 Real functions (26-XX)
21 Functional analysis (46-XX)
18 Quantum theory (81-XX)
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15 Combinatorics (05-XX)
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12 Harmonic analysis on Euclidean spaces (42-XX)
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8 General and overarching topics; collections (00-XX)
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