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SIAM/ASA Journal on Uncertainty Quantification

Short Title: SIAM/ASA J. Uncertain. Quantif.
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA; American Statistical Association (ASA), Alexandria, VA
ISSN: 2166-2525/e
Online: http://epubs.siam.org/loi/sjuqa3
Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2013).
Documents Indexed: 528 Publications (since 2013)
References Indexed: 463 Publications with 20,015 References.
all top 5

Authors

8 Giles, Michael B.
8 Schwab, Christoph
8 Ullmann, Elisabeth
7 Nobile, Fabio
7 Scheichl, Robert
6 Ginsbourger, David
6 Jasra, Ajay
6 Kouri, Drew P.
6 Marzouk, Youssef M.
6 Soize, Christian
6 Stuart, Andrew M.
6 Tartakovsky, Alexandre M.
6 Teckentrup, Aretha L.
5 Bachoc, François
5 Bardsley, Johnathan M.
5 Chen, Peng
5 Estep, Donald J.
5 Gunzburger, Max D.
5 Narayan, Akil C.
5 Owen, Art B.
5 Rahman, Sharif
5 Roustant, Olivier
4 Elman, Howard C.
4 Ghattas, Omar N.
4 Kantas, Nikolas
4 Katsoulakis, Markos A.
4 Klein, Thierry E.
4 Law, Kody J. H.
4 Lee, Kookjin
4 Multerer, Michael D.
4 Papaioannou, Iason
4 Peherstorfer, Benjamin
4 Sanz-Alonso, Daniel
4 Sousedík, Bedřich
4 Sudret, Bruno
4 Wolpert, Robert L.
4 Wu, Chien-Fu Jeff
3 Abdulle, Assyr
3 Alexanderian, Alen
3 Banks, Harvey Thomas
3 Barajas-Solano, David A.
3 Bect, Julien
3 Berger, James Orvis
3 Beskos, Alexandros
3 Bocquet, Marc
3 Borgonovo, Emanuele
3 Broto, Baptiste
3 Carlberg, Kevin T.
3 Chen, Nan
3 Cohen, Albert
3 Constantinescu, Emil M.
3 Crisan, Dan O.
3 Dolgov, Sergey V.
3 Dong, Yiqiu
3 Eigel, Martin
3 Frenklach, Michael
3 Gamboa, Fabrice
3 Gelb, Anne
3 Gobet, Emmanuel
3 Gratton, Serge
3 Grigoriu, Mircea Dan
3 Haaland, Benjamin
3 Hobbs, Jonathan
3 Hosseini, Bamdad
3 Krämer, Boris
3 Morris, Max D.
3 Packard, Andrew Kelly
3 Pavliotis, Grigorios A.
3 Perrin, Guillaume
3 Petra, Noemi
3 Powell, Catherine Elizabeth
3 Quarteroni, Alfio M.
3 Sapsis, Themistoklis P.
3 Schillings, Claudia
3 Sinsbeck, Michael
3 Smith, Ralph C.
3 Stadler, Georg
3 Tan, Matthias Hwai Yong
3 Tartakovsky, Daniel M.
3 Tavener, Simon J.
3 Tuo, Rui
3 Wang, Yan
3 Webster, Clayton G.
3 Willcox, Karen E.
3 Zech, Jakob
2 Anitescu, Mihai
2 Apley, Daniel W.
2 Arnst, Maarten
2 Baccou, Jean
2 Baker, Ruth Elizabeth
2 Bao, Feng
2 Belomestny, Denis
2 Ben Salem, Malek
2 Benner, Peter
2 Berry, Tyrus
2 Bespalov, Alexei
2 Bessac, Julie
2 Binev, Peter G.
2 Birmpa, Panagiota
2 Bishop, Adrian N.
...and 952 more Authors
all top 5

Fields

338 Numerical analysis (65-XX)
289 Statistics (62-XX)
218 Probability theory and stochastic processes (60-XX)
131 Partial differential equations (35-XX)
39 Computer science (68-XX)
38 Systems theory; control (93-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
29 Operations research, mathematical programming (90-XX)
28 Geophysics (86-XX)
27 Fluid mechanics (76-XX)
17 Approximations and expansions (41-XX)
17 Information and communication theory, circuits (94-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Statistical mechanics, structure of matter (82-XX)
12 Operator theory (47-XX)
12 Biology and other natural sciences (92-XX)
11 Ordinary differential equations (34-XX)
11 Functional analysis (46-XX)
8 Mechanics of deformable solids (74-XX)
6 Mechanics of particles and systems (70-XX)
5 Special functions (33-XX)
5 Optics, electromagnetic theory (78-XX)
4 Integral equations (45-XX)
3 Measure and integration (28-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mathematics education (97-XX)
2 Real functions (26-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

Publications by Year

Citations contained in zbMATH Open

421 Publications have been cited 3,502 times in 2,239 Documents Cited by Year
A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow. Zbl 1330.65007
Dodwell, T. J.; Ketelsen, C.; Scheichl, R.; Teckentrup, A. L.
58
2015
A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014
Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M.
56
2015
Analysis of the ensemble and polynomial chaos Kalman filters in Bayesian inverse problems. Zbl 1339.60041
Ernst, Oliver G.; Sprungk, Björn; Starkloff, Hans-Jörg
42
2015
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
39
2017
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G.
39
2015
Sequential Monte Carlo methods for high-dimensional inverse problems: a case study for the Navier-Stokes equations. Zbl 1308.65010
Kantas, Nikolas; Beskos, Alexandros; Jasra, Ajay
39
2014
Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182
Chen, Peng; Quarteroni, Alfio
38
2014
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
37
2014
Existence and optimality conditions for risk-averse PDE-constrained optimization. Zbl 1393.49002
Kouri, D. P.; Surowiec, T. M.
35
2018
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
34
2017
(Sub-)gradient formulae for probability functions of random inequality systems under Gaussian distribution. Zbl 1434.90111
van Ackooij, Wim; Henrion, R.
34
2017
Transport map accelerated Markov chain Monte Carlo. Zbl 1394.65004
Parno, Matthew D.; Marzouk, Youssef M.
33
2018
Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424
Elman, Howard C.; Liao, Qifeng
32
2013
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
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
30
2017
Inverse random source scattering problems in several dimensions. Zbl 1355.78025
Bao, Gang; Chen, Chuchu; Li, Peijun
30
2016
The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029
Drohmann, Martin; Carlberg, Kevin
29
2015
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
27
2018
Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. Zbl 1327.65010
Ballani, Jonas; Grasedyck, Lars
27
2015
Sobol’ indices and Shapley value. Zbl 1308.91129
Owen, Art B.
27
2014
Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008
Lüthen, Nora; Marelli, Stefano; Sudret, Bruno
27
2021
Shapley effects for global sensitivity analysis: theory and computation. Zbl 1403.62226
Song, Eunhye; Nelson, Barry L.; Staum, Jeremy
26
2016
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
25
2016
Multilevel estimation of rare events. Zbl 1327.65246
Ullmann, Elisabeth; Papaioannou, Iason
25
2015
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
25
2014
Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. Zbl 1349.62364
Beck, Joakim; Guillas, Serge
25
2016
A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. Zbl 1383.62354
Tuo, Rui; Jeff Wu, C. F.
25
2016
Convergence of the square root ensemble Kalman filter in the large ensemble limit. Zbl 1329.60083
Kwiatkowski, Evan; Mandel, Jan
24
2015
Path-space information bounds for uncertainty quantification and sensitivity analysis of stochastic dynamics. Zbl 1371.65004
Dupuis, Paul; Katsoulakis, Markos A.; Pantazis, Yannis; Plecháč, Petr
24
2016
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
24
2014
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
Variance components and generalized Sobol’ indices. Zbl 1459.62144
Owen, Art B.
24
2013
Uniform regularity for linear kinetic equations with random input based on hypocoercivity. Zbl 1398.65257
Li, Qin; Wang, Li
23
2017
A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029
Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P.
23
2015
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
23
2016
Multilevel Monte Carlo approximation of distribution functions and densities. Zbl 1322.65014
Giles, Michael B.; Nagapetyan, Tigran; Ritter, Klaus
23
2015
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371
Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael
22
2017
Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. Zbl 1383.35251
Manzoni, A.; Pagani, S.; Lassila, T.
22
2016
On Shapley value for measuring importance of dependent inputs. Zbl 1386.65064
Owen, Art B.; Prieur, Clémentine
21
2017
A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004
Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel
20
2016
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
20
2015
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. Zbl 07118418
Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B.
20
2019
Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. Zbl 1395.82229
Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan
20
2018
Polynomial chaos expansion of a multimodal random vector. Zbl 1327.62332
Soize, C.
19
2015
An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. Zbl 1398.35306
Eigel, Martin; Merdon, Christian; Neumann, Johannes
19
2016
A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. Zbl 1307.49026
Kouri, D. P.
19
2014
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
19
2016
Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100
Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard
19
2013
Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342
Despres, Bruno; Perthame, Benoit
18
2016
Well-posed Bayesian inverse problems: priors with exponential tails. Zbl 1371.35349
Hosseini, Bamdad; Nigam, Nilima
18
2017
On the well-posedness of Bayesian inverse problems. Zbl 1437.49050
Latz, Jonas
18
2020
An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
17
2015
A multiscale strategy for Bayesian inference using transport maps. Zbl 1356.62038
Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef
17
2016
Fast sampling in a linear-Gaussian inverse problem. Zbl 1398.94081
Fox, Colin; Norton, Richard A.
17
2016
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297
Eigel, Martin; Merdon, Christian
17
2016
A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068
Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen
17
2013
Scaled Gaussian stochastic process for computer model calibration and prediction. Zbl 1409.62185
Gu, Mengyang; Wang, Long
17
2018
Efficient history matching of a high dimensional individual-based HIV transmission model. Zbl 1387.62111
Andrianakis, Ioannis; McCreesh, Nicky; Vernon, Ian; McKinley, Trevelyan J.; Oakley, Jeremy E.; Nsubuga, Rebecca N.; Goldstein, Michael; White, Richard G.
16
2017
A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004
Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H.
16
2021
Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163
Nickl, Richard; van de Geer, Sara; Wang, Sven
16
2020
Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493
Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen
16
2018
Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations. Zbl 1392.65013
Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles
16
2018
Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256
Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James
16
2018
Dimension reduction for Gaussian process emulation: an application to the influence of bathymetry on tsunami heights. Zbl 1403.62217
Liu, Xiaoyu; Guillas, Serge
15
2017
Estimating shape constrained functions using Gaussian processes. Zbl 1347.60040
Wang, Xiaojing; Berger, James O.
15
2016
A Bayesian approach for global sensitivity analysis of (multifidelity) computer codes. Zbl 1308.62107
Le Gratiet, Loic; Cannamela, Claire; Iooss, Bertrand
15
2014
Subsampled Gauss quadrature nodes for estimating polynomial chaos expansions. Zbl 1308.41005
Tang, Gary; Iaccarino, Gianluca
15
2014
Bayesian analysis of hierarchical multifidelity codes. Zbl 1280.62033
Le Gratiet, Loic
15
2013
Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274
Reich, Sebastian; Weissmann, Simon
15
2021
Finite-dimensional Gaussian approximation with linear inequality constraints. Zbl 1405.60047
López-Lopera, Andrés F.; Bachoc, François; Durrande, Nicolas; Roustant, Olivier
15
2018
Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396
Van Barel, Andreas; Vandewalle, Stefan
15
2019
Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures. Zbl 1390.35417
Hosseini, Bamdad
14
2017
Robust bounds on risk-sensitive functionals via Rényi divergence. Zbl 1341.60008
Atar, Rami; Chowdhary, Kenny; Dupuis, Paul
14
2015
Monotone emulation of computer experiments. Zbl 1327.62146
Golchi, S.; Bingham, D. R.; Chipman, H.; Campbell, D. A.
14
2015
An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. Zbl 1448.65057
Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P.
14
2019
Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175
Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen
14
2018
Higher-order quasi-Monte Carlo for Bayesian shape inversion. Zbl 1402.65141
Gantner, Robert N.; Peters, Michael D.
14
2018
Multilevel nested simulation for efficient risk estimation. Zbl 1457.91416
Giles, Michael B.; Haji-Ali, Abdul-Lateef
14
2019
Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146
Nane, Erkan; Tuan, Nguyen Huy
13
2018
Parallel local approximation MCMC for expensive models. Zbl 1398.65017
Conrad, Patrick R.; Davis, Andrew D.; Marzouk, Youssef M.; Pillai, Natesh S.; Smith, Aaron
13
2018
Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252
Kunoth, Angela; Schwab, Christoph
13
2016
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
13
2014
A generalized ANOVA dimensional decomposition for dependent probability measures. Zbl 1311.62106
Rahman, Sharif
13
2014
Efficient Bayesian experimentation using an expected information gain lower bound. Zbl 1370.62019
Tsilifis, Panagiotis; Ghanem, Roger G.; Hajali, Paris
13
2017
Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. Zbl 1370.62018
Oliver, Dean S.
13
2017
Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020
Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George
13
2013
A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
13
2020
Optimal adaptation for early stopping in statistical inverse problems. Zbl 1401.65058
Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus
13
2018
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
13
2018
Random forward models and log-likelihoods in Bayesian inverse problems. Zbl 1409.62062
Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L.
13
2018
Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes. Zbl 07003649
Croci, Matteo; Giles, Mike B.; Rognes, M. E.; Farrell, Patrick E.
13
2018
Sequential design of experiment for sparse polynomial chaos expansions. Zbl 06861783
Fajraoui, Noura; Marelli, Stefano; Sudret, Bruno
12
2017
Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313
Abdulle, Assyr; Pavliotis, G. A.; Vaes, U.
12
2017
Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation. Zbl 1358.90156
Bergou, E.; Gratton, S.; Vicente, L. N.
12
2016
Sequential design for ranking response surfaces. Zbl 1365.62319
Hu, Ruimeng; Ludkovsk, Mike
12
2017
Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems. Zbl 1436.62161
Giordano, Matteo; Kekkonen, Hanne
12
2020
Displacement interpolation using monotone rearrangement. Zbl 07003644
Rim, Donsub; Mandli, Kyle T.
12
2018
A hybrid alternating least squares-TT-cross algorithm for parametric PDEs. Zbl 1418.65170
Dolgov, Sergey; Scheichl, Robert
12
2019
Gaussian approximations for probability measures on \(\mathbb R^d\). Zbl 1390.60022
Lu, Yulong; Stuart, Andrew; Weber, Hendrik
11
2017
Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. Zbl 1398.65280
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio
11
2017
A fast and scalable computational framework for large-scale high-dimensional Bayesian optimal experimental design. Zbl 1514.62153
Wu, Keyi; Chen, Peng; Ghattas, Omar
5
2023
Uncertainty quantification of inclusion boundaries in the context of X-ray tomography. Zbl 1524.65022
Afkham, Babak Maboudi; Dong, Yiqiu; Hansen, Per Christian
4
2023
Generalized sparse Bayesian learning and application to image reconstruction. Zbl 1514.94006
Glaubitz, Jan; Gelb, Anne; Song, Guohui
4
2023
On unbiased estimation for discretized models. Zbl 1514.65007
Heng, Jeremy; Jasra, Ajay; Law, Kody J. H.; Tarakanov, Alexander
3
2023
On the generalized Langevin equation for simulated annealing. Zbl 1517.60088
Chak, Martin; Kantas, Nikolas; Pavliotis, Grigorios A.
2
2023
Large deviation theory-based adaptive importance sampling for rare events in high dimensions. Zbl 1518.65009
Tong, Shanyin; Stadler, Georg
2
2023
Are minimizers of the Onsager-Machlup functional strong posterior modes? Zbl 07772686
Kretschmann, Remo
1
2023
Analysis of a class of multilevel Markov chain Monte Carlo algorithms based on independent Metropolis-Hastings. Zbl 1518.35680
Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl
1
2023
Complete deterministic dynamics and spectral decomposition of the linear ensemble Kalman inversion. Zbl 1514.62048
Bungert, Leon; Wacker, Philipp
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
An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. Zbl 07787062
Lambley, Hefin; Sullivan, T. J.
1
2023
Parameter estimation in an SPDE model for cell repolarization. Zbl 1523.35309
Altmeyer, Randolf; Bretschneider, Till; Janák, Josef; Reiß, Markus
7
2022
Nonlinear reduced models for state and parameter estimation. Zbl 1482.65170
Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James
7
2022
A stochastic Levenberg-Marquardt method using random models with complexity results. Zbl 1487.49035
Bergou, El Houcine; Diouane, Youssef; Kungurtsev, Vyacheslav; Royer, Clément W.
6
2022
Multilevel ensemble Kalman-Bucy filters. Zbl 1493.65022
Chada, Neil K.; Jasra, Ajay; Yu, Fangyuan
6
2022
A spline dimensional decomposition for uncertainty quantification in high dimensions. Zbl 07524833
Rahman, Sharif; Jahanbin, Ramin
3
2022
Stochastic normalizing flows for inverse problems: a Markov chains viewpoint. Zbl 1498.62067
Hagemann, Paul; Hertrich, Johannes; Steidl, Gabriele
3
2022
Scaled Vecchia approximation for fast computer-model emulation. Zbl 1493.62011
Katzfuss, Matthias; Guinness, Joseph; Lawrence, Earl
3
2022
Joint online parameter estimation and optimal sensor placement for the partially observed stochastic advection-diffusion equation. Zbl 1484.35423
Sharrock, Louis; Kantas, Nikolas
3
2022
Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion. Zbl 1485.65011
Bréhier, Charles-Edouard; Cohen, David
2
2022
Scaling up Bayesian uncertainty quantification for inverse problems using deep neural networks. Zbl 1514.62009
Lan, Shiwei; Li, Shuyi; Shahbaba, Babak
2
2022
Sparse online variational Bayesian regression. Zbl 1498.62019
Law, Kody J. H.; Zankin, Vitaly
2
2022
Rank bounds for approximating Gaussian densities in the tensor-train format. Zbl 1505.65195
Rohrbach, Paul B.; Dolgov, Sergey; Grasedyck, Lars; Scheichl, Robert
2
2022
A hybrid Gibbs sampler for edge-preserving tomographic reconstruction with uncertain view angles. Zbl 1502.92005
Uribe, Felipe; Bardsley, Johnathan M.; Dong, Yiqiu; Hansen, Per Christian; Riis, Nicolai A. B.
2
2022
Superfloe parameterization with physics constraints for uncertainty quantification of sea ice floes. Zbl 1498.86001
Chen, Nan; Deng, Quanling; Stechmann, Samuel
2
2022
A theoretical framework of the scaled Gaussian stochastic process in prediction and calibration. Zbl 1498.62016
Gu, Mengyang; Xie, Fangzheng; Wang, Long
2
2022
Generative stochastic modeling of strongly nonlinear flows with non-Gaussian statistics. Zbl 1504.37091
Arbabi, Hassan; Sapsis, Themistoklis
2
2022
Empirical Bayesian inference using a support informed prior. Zbl 1493.62031
Zhang, Jiahui; Gelb, Anne; Scarnati, Theresa
2
2022
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APIK: active physics-informed Kriging model with partial differential equations. Zbl 1490.60078
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Calibration of inexact computer models with heteroscedastic errors. Zbl 1514.62046
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Goal-oriented Shapley effects with special attention to the quantile-oriented case. Zbl 1498.62078
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Sampling-based spotlight SAR image reconstruction from phase history data for Speckle reduction and uncertainty quantification. Zbl 1504.94011
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Finite element representations of Gaussian processes: balancing numerical and statistical accuracy. Zbl 1498.62015
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Objective frequentist uncertainty quantification for atmospheric \(\text{CO}_2\) retrievals. Zbl 1493.62596
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Ensemble Markov chain Monte Carlo with teleporting walkers. Zbl 1493.65013
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Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processes. Zbl 1489.60057
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Bayesian inference of an uncertain generalized diffusion operator. Zbl 1481.62012
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Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008
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A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004
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Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274
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Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters. Zbl 1473.65072
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Unbiased inference for discretely observed hidden Markov model diffusions. Zbl 1464.62038
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A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332
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Cross-entropy-based importance sampling with failure-informed dimension reduction for rare event simulation. Zbl 1472.62023
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Multilevel Monte Carlo finite difference methods for fractional conservation laws with random data. Zbl 1471.65104
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Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you don’t know. Zbl 1460.62120
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Computing Shapley effects for sensitivity analysis. Zbl 1473.91001
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Stability of Gibbs posteriors from the Wasserstein loss for Bayesian full waveform inversion. Zbl 1473.62018
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On the asymptotical regularization for linear inverse problems in presence of white noise. Zbl 1459.65080
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Density estimation by randomized quasi-Monte Carlo. Zbl 1462.62224
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Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods. Zbl 1473.35389
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PDE-constrained optimal control problems with uncertain parameters using SAGA. Zbl 1473.35611
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Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. Zbl 1516.65125
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Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. Zbl 1459.65010
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Multilevel Markov chain Monte Carlo for Bayesian inversion of parabolic partial differential equations under Gaussian prior. Zbl 1465.65006
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Multifidelity approximate Bayesian computation with sequential Monte Carlo parameter sampling. Zbl 1465.62016
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Linear parabolic problems in random moving domains. Zbl 1471.35346
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Global sensitivity analysis and Wasserstein spaces. Zbl 1468.62267
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Numerical approximation of optimal convergence for fractional elliptic equations with additive fractional Gaussian noise. Zbl 1503.65304
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Quantifying truncation-related uncertainties in unsteady fluid dynamics reduced order models. Zbl 1481.60132
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GAN-based priors for quantifying uncertainty in supervised learning. Zbl 1473.62092
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Using coupling methods to estimate sample quality of stochastic differential equations. Zbl 1459.65009
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Can we trust Bayesian uncertainty quantification from Gaussian process priors with squared exponential covariance kernel? Zbl 1470.62044
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Bayesian spatial inversion and conjugate selection Gaussian prior models. Zbl 1464.62289
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Efficient estimation of the ANOVA mean dimension, with an application to neural net classification. Zbl 1464.62139
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Emulation of stochastic simulators using generalized lambda models. Zbl 1473.62063
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Optimization-based Markov chain Monte Carlo methods for nonlinear hierarchical statistical inverse problems. Zbl 07307677
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Sequential design of computer experiments for the computation of Bayesian model evidence. Zbl 1462.62500
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Robust system design with limited experimental data and an inexact simulation model. Zbl 07362389
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Variance reduction for dependent sequences with applications to stochastic gradient MCMC. Zbl 1478.60206
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Lattice Boltzmann method for stochastic convection-diffusion equations. Zbl 1467.35368
Zhao, Weifeng; Huang, Juntao; Yong, Wen-An
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Output-weighted optimal sampling for Bayesian experimental design and uncertainty quantification. Zbl 1464.62356
Blanchard, Antoine; Sapsis, Themistoklis
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Post hoc uncertainty quantification for remote sensing observing systems. Zbl 1468.62262
Braverman, Amy; Hobbs, Jonathan; Teixeira, Joaquim; Gunson, Michael
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A higher order unscented transform. Zbl 1468.65023
Easley, Deanna C.; Berry, Tyrus
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Importance sampling for pathwise sensitivity of stochastic chaotic systems. Zbl 1481.60106
Fang, Wei; Giles, Mike B.
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Lagrangian uncertainty quantification and information inequalities for stochastic flows. Zbl 1481.60104
Branicki, Michal; Uda, Kenneth
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Uncertainty quantification for Markov random fields. Zbl 1473.62197
Birmpa, Panagiota; Katsoulakis, Markos A.
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On the well-posedness of Bayesian inverse problems. Zbl 1437.49050
Latz, Jonas
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2020
Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163
Nickl, Richard; van de Geer, Sara; Wang, Sven
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A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
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2020
Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems. Zbl 1436.62161
Giordano, Matteo; Kekkonen, Hanne
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Bayesian quadrature, energy minimization, and space-filling design. Zbl 1448.62122
Pronzato, Luc; Zhigljavsky, Anatoly
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Domain uncertainty quantification in computational electromagnetics. Zbl 1483.65010
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
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Convergence of Gaussian process regression with estimated hyper-parameters and applications in Bayesian inverse problems. Zbl 1461.60022
Teckentrup, Aretha L.
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Group kernels for Gaussian process metamodels with categorical inputs. Zbl 1443.60040
Roustant, Olivier; Padonou, Espéran; Deville, Yves; Clément, Aloïs; Perrin, Guillaume; Giorla, Jean; Wynn, Henry
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2020
Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152
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Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions. Zbl 1461.60020
Karvonen, Toni; Wynne, George; Tronarp, Filip; Oates, Chris; Särkkä, Simo
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Cited by 3,581 Authors

32 Schwab, Christoph
31 Jasra, Ajay
31 Stuart, Andrew M.
27 Narayan, Akil C.
25 Tempone, Raúl F.
22 Chen, Peng
22 Nobile, Fabio
20 Marzouk, Youssef M.
19 Soize, Christian
18 Peherstorfer, Benjamin
17 Bachoc, François
17 Scheichl, Robert
16 Li, Peijun
16 Willcox, Karen E.
15 Ghanem, Roger G.
15 Ghattas, Omar N.
15 Papaioannou, Iason
15 Rozza, Gianluigi
14 Cui, Tiangang
14 Kouri, Drew P.
14 Law, Kody J. H.
14 Reich, Sebastian
14 Sanz-Alonso, Daniel
14 Ullmann, Elisabeth
13 Dolgov, Sergey V.
13 Girolami, Mark A.
13 Katsoulakis, Markos A.
13 Latz, Jonas
13 Tong, Xin Thomson
13 Van Ackooij, Wim
12 Bao, Feng
12 Borgonovo, Emanuele
12 Gramacy, Robert B.
12 Jakeman, John Davis
12 Jin, Shi
12 Schillings, Claudia
12 Sullivan, Tim
11 Alexanderian, Alen
11 Beskos, Alexandros
11 Bespalov, Alexei
11 Crisan, Dan O.
11 Eigel, Martin
11 Henrion, René
11 Jiang, Lijian
11 Lin, Guang
11 Pulch, Roland
11 Surowiec, Thomas
11 Yamada, Toshihiro
10 Chada, Neil K.
10 Chaudhry, Jehanzeb Hameed
10 Giles, Michael B.
10 Goda, Takashi
10 Helin, Tapio
10 Kirby, Robert M. II
10 Nguyen Huy Tuan
10 Rahman, Sharif
10 Sangalli, Laura Maria
10 Sprungk, Björn
10 Sudret, Bruno
10 Teckentrup, Aretha L.
9 Bardsley, Johnathan M.
9 Benner, Peter
9 Harbrecht, Helmut
9 Heitsch, Holger
9 Hosseini, Bamdad
9 Kressner, Daniel
9 Kühn, Christian
9 Li, Qin
9 Mula, Olga
9 Multerer, Michael D.
9 Oates, Chris J.
9 Pérez-Aros, Pedro
9 Straub, Daniel
9 Tamellini, Lorenzo
9 Wang, Xu
9 Yang, Xiu
9 Zhang, Zhiwen
9 Zhu, Xueyu
8 Abdulle, Assyr
8 Barth, Andrea
8 Bréhier, Charles-Edouard
8 Cohen, Albert
8 Elman, Howard C.
8 Grigoriu, Mircea Dan
8 Gunzburger, Max D.
8 Kantas, Nikolas
8 Koutsourelakis, Phaedon-Stelios
8 Li, Jinglai
8 Lie, Han Cheng
8 Liu, Liu
8 Majda, Andrew J.
8 Manzoni, Andrea
8 Matthies, Hermann Georg
8 Rey-Bellet, Luc
8 Sandu, Adrian
8 Wohlmuth, Barbara I.
7 Ballarin, Francesco
7 Chen, Nan
7 Doostan, Alireza
7 Ginsbourger, David
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Cited in 289 Journals

266 SIAM/ASA Journal on Uncertainty Quantification
183 Journal of Computational Physics
139 Computer Methods in Applied Mechanics and Engineering
127 SIAM Journal on Scientific Computing
74 Inverse Problems
51 Statistics and Computing
42 Journal of Scientific Computing
33 Journal of Computational and Applied Mathematics
32 SIAM Journal on Numerical Analysis
28 Computational Geosciences
27 Numerische Mathematik
23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Electronic Journal of Statistics
22 Computers & Mathematics with Applications
22 International Journal for Numerical Methods in Engineering
21 Journal of the American Statistical Association
17 Applied Mathematical Modelling
17 SIAM Journal on Applied Dynamical Systems
17 Multiscale Modeling & Simulation
17 Communications in Computational Physics
17 The Annals of Applied Statistics
16 Advances in Computational Mathematics
15 European Journal of Operational Research
15 SIAM Journal on Optimization
14 Mathematics of Computation
14 The Annals of Applied Probability
14 Computational Statistics and Data Analysis
13 SIAM Journal on Imaging Sciences
12 Computers and Fluids
12 BIT
12 Inverse Problems and Imaging
12 Foundations of Data Science
11 SIAM Journal on Control and Optimization
11 Physica D
11 Applied Numerical Mathematics
11 Computational Mechanics
11 Bernoulli
11 Chaos
11 Foundations of Computational Mathematics
11 Journal of Machine Learning Research (JMLR)
11 Oberwolfach Reports
10 Applied Mathematics and Computation
10 Journal of Differential Equations
10 Mathematics and Computers in Simulation
10 SIAM Journal on Mathematical Analysis
10 Mathematical Programming. Series A. Series B
10 Acta Numerica
10 Bayesian Analysis
9 Journal of Fluid Mechanics
9 Numerical Algorithms
9 Applied and Computational Harmonic Analysis
9 Monte Carlo Methods and Applications
8 Journal of Mathematical Analysis and Applications
8 Nonlinearity
8 Statistical Science
8 SIAM Journal on Matrix Analysis and Applications
8 SIAM Journal on Applied Mathematics
8 Journal of Computational and Graphical Statistics
8 SIAM Journal on Mathematics of Data Science
7 The Annals of Statistics
7 Calcolo
7 Journal of Global Optimization
7 SIAM Review
7 Stochastic Processes and their Applications
7 Journal of Nonlinear Science
7 Methodology and Computing in Applied Probability
7 Inverse Problems in Science and Engineering
7 Mathematical Geosciences
7 Journal of Agricultural, Biological, and Environmental Statistics
6 Applicable Analysis
6 Applied Mathematics and Optimization
6 Journal of Complexity
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Journal of Statistical Computation and Simulation
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Bulletin of Mathematical Biology
5 International Statistical Review
5 Journal of Multivariate Analysis
5 Stochastic Analysis and Applications
5 Constructive Approximation
5 Numerical Methods for Partial Differential Equations
5 European Journal of Applied Mathematics
5 Computational Statistics
5 Computational and Applied Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Communications in Nonlinear Science and Numerical Simulation
5 Optimization and Engineering
5 Discrete and Continuous Dynamical Systems. Series B
5 Analysis and Applications (Singapore)
5 Mathematical Biosciences and Engineering
5 Kinetic and Related Models
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Advances in Applied Probability
4 Journal of Statistical Physics
4 Journal of Applied Probability
4 Journal of Optimization Theory and Applications
4 Optimization
4 Communications in Statistics. Simulation and Computation
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594 Probability theory and stochastic processes (60-XX)
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208 Computer science (68-XX)
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49 Optics, electromagnetic theory (78-XX)
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39 Ordinary differential equations (34-XX)
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