×

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: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2013).
Documents Indexed: 455 Publications (since 2013)
References Indexed: 390 Publications with 16,551 References.
all top 5

Authors

8 Giles, Michael B.
8 Ullmann, Elisabeth
7 Schwab, Christoph
6 Marzouk, Youssef M.
6 Soize, Christian
6 Tartakovsky, Alexandre M.
6 Teckentrup, Aretha L.
5 Bachoc, François
5 Estep, Donald J.
5 Gunzburger, Max D.
5 Narayan, Akil C.
5 Nobile, Fabio
5 Owen, Art B.
5 Rahman, Sharif
5 Roustant, Olivier
5 Scheichl, Robert
5 Stuart, Andrew M.
4 Bardsley, Johnathan M.
4 Elman, Howard C.
4 Ginsbourger, David
4 Jasra, Ajay
4 Kouri, Drew P.
4 Sudret, Bruno
4 Wu, Chien-Fu Jeff
3 Abdulle, Assyr
3 Alexanderian, Alen
3 Banks, Harvey Thomas
3 Barajas-Solano, David A.
3 Berger, James Orvis
3 Bocquet, Marc
3 Borgonovo, Emanuele
3 Broto, Baptiste
3 Carlberg, Kevin T.
3 Chen, Nan
3 Chen, Peng
3 Cohen, Albert
3 Constantinescu, Emil M.
3 Dodwell, Tim J.
3 Eigel, Martin
3 Frenklach, Michael
3 Gamboa, Fabrice
3 Ghattas, Omar N.
3 Gratton, Serge
3 Grigoriu, Mircea D.
3 Haaland, Benjamin
3 Heitzinger, Clemens
3 Hobbs, Jonathan
3 Hosseini, Bamdad
3 Katsoulakis, Markos A.
3 Klein, Thierry E.
3 Krämer, Boris
3 Lee, Kookjin
3 Morris, Max D.
3 Packard, Andrew Kelly
3 Papaioannou, Iason
3 Peherstorfer, Benjamin
3 Petra, Noemi
3 Powell, Catherine Elizabeth
3 Quarteroni, Alfio M.
3 Sanz-Alonso, Daniel
3 Sapsis, Themistoklis P.
3 Sinsbeck, Michael
3 Smith, Ralph C.
3 Sousedík, Bedřich
3 Tan, Matthias Hwai Yong
3 Tartakovsky, Daniel M.
3 Tavener, Simon J.
3 Tuo, Rui
3 Webster, Clayton G.
3 Willcox, Karen E.
3 Wolpert, Robert L.
2 Arnst, Maarten
2 Baccou, Jean
2 Baker, Ruth Elizabeth
2 Bao, Feng
2 Bect, Julien
2 Belomestny, Denis
2 Ben Salem, Malek
2 Benner, Peter
2 Bergou, El Houcine
2 Berry, Tyrus
2 Beskos, Alexandros
2 Bespalov, Alexei
2 Bessac, Julie
2 Binev, Peter G.
2 Braverman, Amy J.
2 Brown, D. Andrew
2 Cao, Yanzhao
2 Carrassi, Alberto
2 Chada, Neil K.
2 Challenor, Peter G.
2 Chaudhry, Jehanzeb Hameed
2 Chevalier, Clément
2 Cotter, Colin John
2 Cotter, Simon L.
2 Crisan, Dan O.
2 Dahmen, Wolfgang A.
2 De Lozzo, Matthias
2 Depecker, Marine
2 Dick, Josef
...and 815 more Authors
all top 5

Fields

297 Numerical analysis (65-XX)
243 Statistics (62-XX)
188 Probability theory and stochastic processes (60-XX)
117 Partial differential equations (35-XX)
34 Systems theory; control (93-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 Computer science (68-XX)
25 Geophysics (86-XX)
24 Fluid mechanics (76-XX)
22 Operations research, mathematical programming (90-XX)
14 Statistical mechanics, structure of matter (82-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Approximations and expansions (41-XX)
13 Information and communication theory, circuits (94-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Operator theory (47-XX)
10 Ordinary differential equations (34-XX)
9 Biology and other natural sciences (92-XX)
8 Functional analysis (46-XX)
7 Mechanics of deformable solids (74-XX)
6 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
3 Special functions (33-XX)
3 Integral equations (45-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 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Publications by Year

Citations contained in zbMATH Open

350 Publications have been cited 2,380 times in 1,609 Documents Cited by Year
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.
44
2015
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.
42
2015
Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182
Chen, Peng; Quarteroni, Alfio
33
2014
(Sub-)gradient formulae for probability functions of random inequality systems under Gaussian distribution. Zbl 1434.90111
van Ackooij, Wim; Henrion, R.
30
2017
Analysis of the ensemble and polynomial chaos Kalman filters in Bayesian inverse problems. Zbl 1339.60041
Ernst, Oliver G.; Sprungk, Björn; Starkloff, Hans-Jörg
30
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
28
2014
The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029
Drohmann, Martin; Carlberg, Kevin
27
2015
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
27
2017
Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424
Elman, Howard C.; Liao, Qifeng
26
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.
25
2018
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.
25
2015
Inverse random source scattering problems in several dimensions. Zbl 1355.78025
Bao, Gang; Chen, Chuchu; Li, Peijun
24
2016
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
24
2017
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
22
2014
Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010
Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin
22
2014
Multilevel estimation of rare events. Zbl 1327.65246
Ullmann, Elisabeth; Papaioannou, Iason
22
2015
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
22
2016
Transport map accelerated Markov chain Monte Carlo. Zbl 1394.65004
Parno, Matthew D.; Marzouk, Youssef M.
21
2018
Existence and optimality conditions for risk-averse PDE-constrained optimization. Zbl 1393.49002
Kouri, D. P.; Surowiec, T. M.
21
2018
Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. Zbl 1349.62364
Beck, Joakim; Guillas, Serge
21
2016
Variance components and generalized Sobol’ indices. Zbl 1459.62144
Owen, Art B.
21
2013
Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. Zbl 1327.65010
Ballani, Jonas; Grasedyck, Lars
21
2015
A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029
Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P.
21
2015
Uniform regularity for linear kinetic equations with random input based on hypocoercivity. Zbl 1398.65257
Li, Qin; Wang, Li
21
2017
Reduced basis methods for uncertainty quantification. Zbl 1400.65010
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi
21
2017
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
20
2016
Convergence of the square root ensemble Kalman filter in the large ensemble limit. Zbl 1329.60083
Kwiatkowski, Evan; Mandel, Jan
20
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.
19
2017
Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M.
19
2014
Shapley effects for global sensitivity analysis: theory and computation. Zbl 1403.62226
Song, Eunhye; Nelson, Barry L.; Staum, Jeremy
18
2016
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.
17
2016
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
17
2016
A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. Zbl 1383.62354
Tuo, Rui; Jeff Wu, C. F.
17
2016
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
17
2015
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
17
2013
On Shapley value for measuring importance of dependent inputs. Zbl 1386.65064
Owen, Art B.; Prieur, Clémentine
17
2017
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
16
2016
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
16
2018
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297
Eigel, Martin; Merdon, Christian
15
2016
A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004
Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel
15
2016
A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. Zbl 1307.49026
Kouri, D. P.
15
2014
Sobol’ indices and Shapley value. Zbl 1308.91129
Owen, Art B.
15
2014
Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. Zbl 1395.82229
Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan
14
2018
Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342
Despres, Bruno; Perthame, Benoit
14
2016
Multilevel Monte Carlo approximation of distribution functions and densities. Zbl 1322.65014
Giles, Michael B.; Nagapetyan, Tigran; Ritter, Klaus
14
2015
Well-posed Bayesian inverse problems: priors with exponential tails. Zbl 1371.35349
Hosseini, Bamdad; Nigam, Nilima
14
2017
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371
Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael
14
2017
A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068
Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen
14
2013
Subsampled Gauss quadrature nodes for estimating polynomial chaos expansions. Zbl 1308.41005
Tang, Gary; Iaccarino, Gianluca
14
2014
An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
14
2015
A Bayesian approach for global sensitivity analysis of (multifidelity) computer codes. Zbl 1308.62107
Le Gratiet, Loic; Cannamela, Claire; Iooss, Bertrand
13
2014
Robust bounds on risk-sensitive functionals via Rényi divergence. Zbl 1341.60008
Atar, Rami; Chowdhary, Kenny; Dupuis, Paul
13
2015
Polynomial chaos expansion of a multimodal random vector. Zbl 1327.62332
Soize, C.
13
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.
13
2019
Higher-order quasi-Monte Carlo for Bayesian shape inversion. Zbl 1402.65141
Gantner, Robert N.; Peters, Michael D.
12
2018
Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493
Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen
12
2018
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
12
2016
Monotone emulation of computer experiments. Zbl 1327.62146
Golchi, S.; Bingham, D. R.; Chipman, H.; Campbell, D. A.
12
2015
Efficient Bayesian experimentation using an expected information gain lower bound. Zbl 1370.62019
Tsilifis, Panagiotis; Ghanem, Roger G.; Hajali, Paris
12
2017
Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020
Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George
12
2013
Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146
Nane, Erkan; Tuan, Nguyen Huy
12
2018
Dimension reduction for Gaussian process emulation: an application to the influence of bathymetry on tsunami heights. Zbl 1403.62217
Liu, Xiaoyu; Guillas, Serge
12
2017
Optimal adaptation for early stopping in statistical inverse problems. Zbl 1401.65058
Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus
12
2018
Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256
Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James
12
2018
Random forward models and log-likelihoods in Bayesian inverse problems. Zbl 1409.62062
Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L.
12
2018
Fast sampling in a linear-Gaussian inverse problem. Zbl 1398.94081
Fox, Colin; Norton, Richard A.
11
2016
Sequential design for ranking response surfaces. Zbl 1365.62319
Hu, Ruimeng; Ludkovsk, Mike
11
2017
Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275
Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare
11
2014
A generalized ANOVA dimensional decomposition for dependent probability measures. Zbl 1311.62106
Rahman, Sharif
11
2014
A hybrid sparse-grid approach for nonlinear filtering problems based on adaptive-domain of the Zakai equation approximations. Zbl 1343.60041
Bao, Feng; Cao, Yanzhao; Webster, Clayton; Zhang, Guannan
11
2014
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.
11
2018
Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396
Van Barel, Andreas; Vandewalle, Stefan
11
2019
On the well-posedness of Bayesian inverse problems. Zbl 1437.49050
Latz, Jonas
10
2020
Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175
Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen
10
2018
The \(f\)-sensitivity index. Zbl 1348.62015
Rahman, Sharif
10
2016
A multiscale strategy for Bayesian inference using transport maps. Zbl 1356.62038
Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef
10
2016
Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. Zbl 1370.62018
Oliver, Dean S.
10
2017
Sequential design of experiment for sparse polynomial chaos expansions. Zbl 06861783
Fajraoui, Noura; Marelli, Stefano; Sudret, Bruno
10
2017
Parallel local approximation MCMC for expensive models. Zbl 1398.65017
Conrad, Patrick R.; Davis, Andrew D.; Marzouk, Youssef M.; Pillai, Natesh S.; Smith, Aaron
10
2018
Finite-dimensional Gaussian approximation with linear inequality constraints. Zbl 1405.60047
López-Lopera, Andrés F.; Bachoc, François; Durrande, Nicolas; Roustant, Olivier
10
2018
Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi
10
2018
Long-time asymptotics of the filtering distribution for partially observed chaotic dynamical systems. Zbl 1337.93094
Sanz-Alonso, Daniel; Stuart, Andrew M.
9
2015
Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252
Kunoth, Angela; Schwab, Christoph
9
2016
Parameter selection and verification techniques based on global sensitivity analysis illustrated for an HIV model. Zbl 1341.92080
Wentworth, Mami T.; Smith, Ralph C.; Banks, H. T.
9
2016
Probabilistic description of extreme events in intermittently unstable dynamical systems excited by correlated stochastic processes. Zbl 1327.62324
Mohamad, Mustafa A.; Sapsis, Themistoklis P.
9
2015
Bayesian analysis of hierarchical multifidelity codes. Zbl 1280.62033
Le Gratiet, Loic
9
2013
A posteriori error estimates for the solution of variational inverse problems. Zbl 1327.65135
Rao, Vishwas; Sandu, Adrian
9
2015
Numerical continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn equation. Zbl 1339.60096
Kuehn, Christian
9
2015
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.
9
2017
Bayesian subset simulation. Zbl 06861829
Bect, Julien; Li, Ling; Vazquez, Emmanuel
9
2017
Scaled Gaussian stochastic process for computer model calibration and prediction. Zbl 1409.62185
Gu, Mengyang; Wang, Long
9
2018
Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008
Lüthen, Nora; Marelli, Stefano; Sudret, Bruno
8
2021
Importance sampling and necessary sample size: an information theory approach. Zbl 1396.65016
Sanz-Alonso, Daniel
8
2018
Estimating shape constrained functions using Gaussian processes. Zbl 1347.60040
Wang, Xiaojing; Berger, James O.
8
2016
A first order scheme for backward doubly stochastic differential equations. Zbl 1343.60096
Bao, Feng; Cao, Yanzhao; Meir, Amnon; Zhao, Weidong
8
2016
Dynamical polynomial chaos expansions and long time evolution of differential equations with random forcing. Zbl 1346.60108
Ozen, H. Cagan; Bal, Guillaume
8
2016
Mercer kernels and integrated variance experimental design: connections between Gaussian process regression and polynomial approximation. Zbl 1342.62061
Gorodetsky, Alex; Marzouk, Youssef
8
2016
A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. Zbl 1322.65093
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S.
8
2015
Quantification of airfoil geometry-induced aerodynamic uncertainties – comparison of approaches. Zbl 06736506
Liu, Dishi; Litvinenko, Alexander; Schillings, Claudia; Schulz, Volker
8
2017
When is a model good enough? Deriving the expected value of model improvement via specifying internal model discrepancies. Zbl 1351.60133
Strong, Mark; Oakley, Jeremy E.
8
2014
Nonlinear reduced models for state and parameter estimation. Zbl 1482.65170
Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James
2
2022
Parameter estimation in an SPDE model for cell repolarization. Zbl 07487269
Altmeyer, Randolf; Bretschneider, Till; Janák, Josef; Reiß, Markus
1
2022
Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008
Lüthen, Nora; Marelli, Stefano; Sudret, Bruno
8
2021
Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274
Reich, Sebastian; Weissmann, Simon
7
2021
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.
5
2021
Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you don’t know. Zbl 1460.62120
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Sunseri, Isaac
4
2021
Unbiased inference for discretely observed hidden Markov model diffusions. Zbl 1464.62038
Chada, Neil K.; Franks, Jordan; Jasra, Ajay; Law, Kody J.; Vihola, Matti
3
2021
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. Zbl 1459.65010
Ganesh, M.; Kuo, Frances Y.; Sloan, Ian H.
3
2021
Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters. Zbl 1473.65072
Chen, Peng; Ghattas, Omar
2
2021
Computing Shapley effects for sensitivity analysis. Zbl 1473.91001
Plischke, Elmar; Rabitti, Giovanni; Borgonovo, Emanuele
2
2021
Density estimation by randomized quasi-Monte Carlo. Zbl 1462.62224
Ben Abdellah, Amal; L’Ecuyer, Pierre; Owen, Art B.; Puchhammer, Florian
2
2021
Estimation of ordinary differential equation models with discretization error quantification. Zbl 1462.62156
Matsuda, Takeru; Miyatake, Yuto
2
2021
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods. Zbl 1473.35389
Hu, Jingwei; Pareschi, Lorenzo; Wang, Yubo
2
2021
Efficient estimation of the ANOVA mean dimension, with an application to neural net classification. Zbl 1464.62139
Hoyt, Christopher; Owen, Art B.
2
2021
Cross-entropy-based importance sampling with failure-informed dimension reduction for rare event simulation. Zbl 1472.62023
Uribe, Felipe; Papaioannou, Iason; Marzouk, Youssef M.; Straub, Daniel
2
2021
A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane
2
2021
PDE-constrained optimal control problems with uncertain parameters using SAGA. Zbl 1473.35611
Martin, Matthieu; Nobile, Fabio
2
2021
GAN-based priors for quantifying uncertainty in supervised learning. Zbl 1473.62092
Patel, Dhruv V.; Oberai, Assad A.
1
2021
Emulation of stochastic simulators using generalized lambda models. Zbl 1473.62063
Zhu, Xujia; Sudret, Bruno
1
2021
Instances of computational optimal recovery: dealing with observation errors. Zbl 1483.41012
Ettehad, Mahmood; Foucart, Simon
1
2021
Stability of Gibbs posteriors from the Wasserstein loss for Bayesian full waveform inversion. Zbl 1473.62018
Dunlop, Matthew M.; Yang, Yunan
1
2021
Bayesian spatial inversion and conjugate selection Gaussian prior models. Zbl 1464.62289
Omre, Henning; Rimstad, Kjartan
1
2021
Robust system design with limited experimental data and an inexact simulation model. Zbl 07362389
Sun, Wenbo; Plumlee, Matthew; Hu, Jingwen; Jin, Jionghua (Judy)
1
2021
Variance reduction for dependent sequences with applications to stochastic gradient MCMC. Zbl 1478.60206
Belomestny, Denis; Iosipoi, Leonid; Moulines, Eric; Naumov, Alexey; Samsonov, Sergey
1
2021
Output-weighted optimal sampling for Bayesian experimental design and uncertainty quantification. Zbl 1464.62356
Blanchard, Antoine; Sapsis, Themistoklis
1
2021
Multifidelity approximate Bayesian computation with sequential Monte Carlo parameter sampling. Zbl 1465.62016
Prescott, Thomas P.; Baker, Ruth E.
1
2021
Global sensitivity analysis and Wasserstein spaces. Zbl 1468.62267
Fort, Jean-Claude; Klein, Thierry; Lagnoux, Agnès
1
2021
Asymptotic analysis of multilevel best linear unbiased estimators. Zbl 07384778
Schaden, Daniel; Ullmann, Elisabeth
1
2021
Numerical approximation of optimal convergence for fractional elliptic equations with additive fractional Gaussian noise. Zbl 07384780
Hao, Zhaopeng; Zhang, Zhongqiang
1
2021
A higher order unscented transform. Zbl 1468.65023
Easley, Deanna C.; Berry, Tyrus
1
2021
On the asymptotical regularization for linear inverse problems in presence of white noise. Zbl 1459.65080
Lu, Shuai; Niu, Pingping; Werner, Frank
1
2021
Optimization-based Markov chain Monte Carlo methods for nonlinear hierarchical statistical inverse problems. Zbl 07307677
Bardsley, Johnathan M.; Cui, Tiangang
1
2021
Multilevel Monte Carlo finite difference methods for fractional conservation laws with random data. Zbl 1471.65104
Koley, Ujjwal; Ray, Deep; Sarkar, Tanmay
1
2021
Using coupling methods to estimate sample quality of stochastic differential equations. Zbl 1459.65009
Dobson, Matthew; Li, Yao; Zhai, Jiayu
1
2021
On the well-posedness of Bayesian inverse problems. Zbl 1437.49050
Latz, Jonas
10
2020
Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163
Nickl, Richard; van de Geer, Sara; Wang, Sven
7
2020
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
6
2020
A spline chaos expansion. Zbl 1436.41009
Rahman, Sharif
5
2020
Domain uncertainty quantification in computational electromagnetics. Zbl 1483.65010
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
5
2020
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
5
2020
Block preconditioning of stochastic Galerkin problems: new two-sided guaranteed spectral bounds. Zbl 1447.65151
Kubínová, Marie; Pultarová, Ivana
4
2020
Multifidelity approximate Bayesian computation. Zbl 1436.62097
Prescott, Thomas P.; Baker, Ruth E.
4
2020
A Bayesian numerical homogenization method for elliptic multiscale inverse problems. Zbl 1436.62089
Abdulle, Assyr; Blasio, Andrea Di
4
2020
Bayesian quadrature, energy minimization, and space-filling design. Zbl 1448.62122
Pronzato, Luc; Zhigljavsky, Anatoly
4
2020
Adaptive reduced-order model construction for conditional value-at-risk estimation. Zbl 1443.62152
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur
4
2020
Variance reduction for estimation of Shapley effects and adaptation to unknown input distribution. Zbl 1445.62186
Broto, Baptiste; Bachoc, François; Depecker, Marine
4
2020
Diagnostics-driven nonstationary emulators using kernel mixtures. Zbl 1436.62365
Volodina, Victoria; Williamson, Daniel
3
2020
Generating nested quadrature rules with positive weights based on arbitrary sample sets. Zbl 1483.65043
van den Bos, Laurent; Sanderse, Benjamin; Bierbooms, Wim; van Bussel, Gerard
3
2020
Density estimation in uncertainty propagation problems using a surrogate model. Zbl 1483.65024
Ditkowski, Adi; Fibich, Gadi; Sagiv, Amir
3
2020
Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems. Zbl 1436.62161
Giordano, Matteo; Kekkonen, Hanne
3
2020
Uncertainty quantification for Markov processes via variational principles and functional inequalities. Zbl 07193421
Birrell, Jeremiah; Rey-Bellet, Luc
3
2020
A Bayesian approach to estimating background flows from a passive scalar. Zbl 1455.65205
Borggaard, Jeff; Glatt-Holtz, Nathan; Krometis, Justin
3
2020
The Helmholtz equation in random media: well-posedness and a priori bounds. Zbl 1436.35085
Pembery, O. R.; Spence, E. A.
2
2020
Uncertainty quantification of unsteady flows generated by line-sources through heterogeneous geological formations. Zbl 1441.35200
Severino, Gerardo; Cuomo, Salvatore
2
2020
Diffusion map-based algorithm for gain function approximation in the feedback particle filter. Zbl 1451.65225
Taghvaei, Amirhossein; Mehta, Prashant G.; Meyn, Sean P.
2
2020
Stratification as a general variance reduction method for Markov chain Monte Carlo. Zbl 07242148
Dinner, Aaron R.; Thiede, Erik H.; Koten, Brian Van; Weare, Jonathan
2
2020
On multilevel best linear unbiased estimators. Zbl 1439.35591
Schaden, Daniel; Ullmann, Elisabeth
2
2020
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
2
2020
Convergence of Gaussian process regression with estimated hyper-parameters and applications in Bayesian inverse problems. Zbl 1461.60022
Teckentrup, Aretha L.
2
2020
Kernel methods for Bayesian elliptic inverse problems on manifolds. Zbl 1448.65205
Harlim, John; Sanz-Alonso, Daniel; Yang, Ruiyi
2
2020
Statistical treatment of inverse problems constrained by differential equations-based models with stochastic terms. Zbl 1439.35466
Constantinescu, Emil M.; Petra, Noémi; Bessac, Julie; Petra, Cosmin G.
1
2020
An iterative ensemble Kalman smoother in presence of additive model error. Zbl 1435.93167
Fillion, Anthony; Bocquet, Marc; Gratton, Serge; Gürol, Selime; Sakov, Pavel
1
2020
Stable approximation schemes for optimal filters. Zbl 1441.93310
Crisan, Dan; López-Yela, Alberto; Miguez, Joaquin
1
2020
An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains. Zbl 1447.65137
Eigel, Martin; Marschall, Manuel; Multerer, Michael
1
2020
A defensive marginal particle filtering method for data assimilation. Zbl 1448.62138
Wen, Linjie; Wu, Jiangqi; Lu, Linjun; Li, Jinglai
1
2020
On the improved rates of convergence for Matérn-type kernel ridge regression with application to calibration of computer models. Zbl 1459.62143
Tuo, Rui; Wang, Yan; Jeff Wu, C. F.
1
2020
A probabilistic clustering approach for identifying primary subnetworks of discrete fracture networks with quantified uncertainty. Zbl 1446.60078
Osthus, Dave; Hyman, Jeffrey D.; Karra, Satish; Panda, Nishant; Srinivasan, Gowri
1
2020
Characterizing impacts of model uncertainties in quantitative photoacoustics. Zbl 1439.35570
Ren, Kui; Vallélian, Sarah
1
2020
A higher order perturbation approach for electromagnetic scattering problems on random domains. Zbl 1454.35364
Dölz, Jürgen
1
2020
Multilevel Monte Carlo estimation of the expected value of sample information. Zbl 1455.65007
Hironaka, Tomohiko; Giles, Michael B.; Goda, Takashi; Thom, Howard
1
2020
Compressed principal component analysis of non-Gaussian vectors. Zbl 1451.62069
Mignolet, Marc; Soize, Christian
1
2020
Dealing with measurement uncertainties as nuisance parameters in Bayesian model calibration. Zbl 1454.62100
Rumsey, Kellin; Huerta, Gabriel; Brown, Justin; Hund, Lauren
1
2020
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.
13
2019
Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396
Van Barel, Andreas; Vandewalle, Stefan
11
2019
Multilevel nested simulation for efficient risk estimation. Zbl 1457.91416
Giles, Michael B.; Haji-Ali, Abdul-Lateef
8
2019
Bayesian parameter identification in Cahn-Hilliard models for biological growth. Zbl 1422.65239
Kahle, Christian; Lam, Kei Fong; Latz, Jonas; Ullmann, Elisabeth
8
2019
Second order discretization of Bismut-Elworthy-Li formula: application to sensitivity analysis. Zbl 1454.60073
Yamada, Toshihiro; Yamamoto, Kenta
7
2019
Bayesian model and dimension reduction for uncertainty propagation: applications in random media. Zbl 1422.62377
Grigo, Constantin; Koutsourelakis, Phaedon-Stelios
7
2019
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.
7
2019
On the asymptotic normality of adaptive multilevel splitting. Zbl 1412.82029
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias
6
2019
Generalized modes in Bayesian inverse problems. Zbl 1430.62053
Clason, Christian; Helin, Tapio; Kretschmann, Remo; Piiroinen, Petteri
6
2019
Emulating satellite drag from large simulation experiments. Zbl 1430.62085
Sun, Furong; Gramacy, Robert B.; Haaland, Benjamin; Lawrence, Earl; Walker, Andrew
6
2019
Stability preservation in stochastic Galerkin projections of dynamical systems. Zbl 1440.65275
Pulch, Roland; Augustin, Florian
5
2019
A hybrid alternating least squares-TT-cross algorithm for parametric PDEs. Zbl 1418.65170
Dolgov, Sergey; Scheichl, Robert
4
2019
Multifidelity Monte Carlo estimation with adaptive low-fidelity models. Zbl 1428.35570
Peherstorfer, Benjamin
4
2019
An evolve-filter-relax stabilized reduced order stochastic collocation method for the time-dependent Navier-Stokes equations. Zbl 1428.65029
Gunzburger, M.; Iliescu, T.; Mohebujjaman, M.; Schneier, M.
4
2019
A low-rank solver for the Navier-Stokes equations with uncertain viscosity. Zbl 1442.35568
Lee, Kookjin; Elman, Howard C.; Sousedík, Bedřich
3
2019
Continuous level Monte Carlo and sample-adaptive model hierarchies. Zbl 07003658
Detommaso, Gianluca; Dodwell, Tim; Scheichl, Rob
3
2019
Adjustments to computer models via projected kernel calibration. Zbl 1430.62261
Tuo, Rui
3
2019
Extreme event quantification in dynamical systems with random components. Zbl 1448.60063
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
3
2019
A Shapley-Owen index for interaction quantification. Zbl 1426.91022
Rabitti, Giovanni; Borgonovo, Emanuele
3
2019
Efficient marginalization-based MCMC methods for hierarchical Bayesian inverse problems. Zbl 07118424
Saibaba, Arvind K.; Bardsley, Johnathan; Brown, D. Andrew; Alexanderian, Alen
3
2019
Robustness of the Sobol’ indices to marginal distribution uncertainty. Zbl 07118428
Hart, Joseph L.; Gremaud, Pierre A.
3
2019
Allocation strategies for high fidelity models in the multifidelity regime. Zbl 1418.65059
Perry, Daniel J.; Kirby, Robert M.; Narayan, Akil; Whitaker, Ross T.
2
2019
Global sensitivity analysis for optimization with variable selection. Zbl 1421.49032
Spagnol, Adrien; Riche, Rodolphe Le; Da Veiga, Sébastien
2
2019
Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit. Zbl 07118412
Ayi, Nathalie; Faou, Erwan
2
2019
Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. Zbl 1469.65170
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
2
2019
Two Metropolis-Hastings algorithms for posterior measures with non-Gaussian priors in infinite dimensions. Zbl 07118427
Hosseini, Bamdad
2
2019
Dimension reduction via Gaussian ridge functions. Zbl 1436.60038
Seshadri, Pranay; Yuchi, Shaowu; Parks, Geoffrey T.
1
2019
Multilevel Monte Carlo covariance estimation for the computation of Sobol’ indices. Zbl 1483.65012
Mycek, Paul; De Lozzo, Matthias
1
2019
...and 250 more Documents
all top 5

Cited by 2,662 Authors

29 Schwab, Christoph
25 Narayan, Akil C.
25 Stuart, Andrew M.
21 Jasra, Ajay
18 Marzouk, Youssef M.
18 Nobile, Fabio
17 Tempone, Raúl F.
15 Bachoc, François
14 Chen, Peng
14 Ullmann, Elisabeth
13 Li, Peijun
13 Soize, Christian
13 Van Ackooij, Wim
12 Peherstorfer, Benjamin
12 Willcox, Karen E.
11 Alexanderian, Alen
11 Katsoulakis, Markos A.
11 Law, Kody J. H.
11 Papaioannou, Iason
11 Rozza, Gianluigi
10 Borgonovo, Emanuele
10 Ghanem, Roger G.
10 Giles, Michael B.
10 Gramacy, Robert B.
10 Jin, Shi
10 Kouri, Drew P.
10 Lin, Guang
10 Reich, Sebastian
10 Scheichl, Robert
10 Tong, Xin Thomson
9 Beskos, Alexandros
9 Cui, Tiangang
9 Eigel, Martin
9 Helin, Tapio
9 Henrion, René
9 Jakeman, John Davis
9 Jiang, Lijian
9 Kirby, Robert M. II
9 Kühn, Christian
9 Latz, Jonas
9 Nguyen Huy Tuan
9 Pérez-Aros, Pedro
9 Pulch, Roland
9 Schillings, Claudia
9 Sudret, Bruno
9 Teckentrup, Aretha L.
8 Bao, Feng
8 Bardsley, Johnathan M.
8 Benner, Peter
8 Bespalov, Alexei
8 Chaudhry, Jehanzeb Hameed
8 Crisan, Dan O.
8 Girolami, Mark A.
8 Goda, Takashi
8 Grigoriu, Mircea D.
8 Heitsch, Holger
8 Hosseini, Bamdad
8 Li, Qin
8 Mula, Olga
8 Oates, Chris J.
8 Sangalli, Laura Maria
8 Sanz-Alonso, Daniel
8 Sprungk, Björn
8 Wohlmuth, Barbara I.
8 Yang, Xiu
8 Zhu, Xueyu
7 Dolgov, Sergey V.
7 Doostan, Alireza
7 Elman, Howard C.
7 Ghattas, Omar N.
7 Gunzburger, Max D.
7 Harbrecht, Helmut
7 Kressner, Daniel
7 Li, Jinglai
7 Lie, Han Cheng
7 Liu, Liu
7 Majda, Andrew J.
7 Quarteroni, Alfio M.
7 Rahman, Sharif
7 Sandu, Adrian
7 Surowiec, Thomas
7 Trillos, Nicolás García
7 Tsilifis, Panagiotis A.
7 Yamada, Toshihiro
7 Zhang, Zhiwen
6 Abdulle, Assyr
6 Chada, Neil K.
6 Chen, Nan
6 Griebel, Michael
6 Haji-Ali, Abdul-Lateef
6 Herrmann, Lukas
6 Iglesias, Marco A.
6 Klein, Thierry E.
6 Kuo, Frances Y.
6 Lagnoux, Agnès
6 Manzoni, Andrea
6 Matthies, Hermann Georg
6 Mattis, Steven A.
6 Powell, Warren Buckler
6 Rey-Bellet, Luc
...and 2,562 more Authors
all top 5

Cited in 247 Journals

211 SIAM/ASA Journal on Uncertainty Quantification
130 Journal of Computational Physics
111 SIAM Journal on Scientific Computing
98 Computer Methods in Applied Mechanics and Engineering
41 Inverse Problems
39 Statistics and Computing
29 Journal of Scientific Computing
27 SIAM Journal on Numerical Analysis
24 Journal of Computational and Applied Mathematics
24 Numerische Mathematik
22 Computational Geosciences
18 Electronic Journal of Statistics
17 Computers & Mathematics with Applications
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Multiscale Modeling & Simulation
15 Communications in Computational Physics
15 The Annals of Applied Statistics
13 European Journal of Operational Research
13 Advances in Computational Mathematics
12 Mathematics of Computation
12 Computational Statistics and Data Analysis
12 SIAM Journal on Optimization
12 SIAM Journal on Applied Dynamical Systems
11 Computers and Fluids
11 Applied Mathematical Modelling
11 Chaos
10 Journal of the American Statistical Association
10 SIAM Journal on Control and Optimization
9 Journal of Differential Equations
9 The Annals of Applied Probability
9 Inverse Problems and Imaging
9 Foundations of Data Science
8 Journal of Fluid Mechanics
8 BIT
8 International Journal for Numerical Methods in Engineering
8 Mathematics and Computers in Simulation
8 Applied Numerical Mathematics
8 Computational Mechanics
8 SIAM Journal on Applied Mathematics
8 SIAM Journal on Mathematical Analysis
8 Monte Carlo Methods and Applications
7 Journal of Mathematical Analysis and Applications
7 Applied Mathematics and Computation
7 Statistical Science
7 Bernoulli
7 SIAM Journal on Imaging Sciences
7 SIAM Journal on Mathematics of Data Science
6 Journal of Complexity
6 SIAM Journal on Matrix Analysis and Applications
6 Numerical Algorithms
6 Journal of Statistical Computation and Simulation
6 Mathematical Programming. Series A. Series B
6 Journal of Nonlinear Science
6 Applied and Computational Harmonic Analysis
6 Foundations of Computational Mathematics
6 Mathematical Geosciences
5 Nonlinearity
5 The Annals of Statistics
5 Journal of Multivariate Analysis
5 Physica D
5 European Journal of Applied Mathematics
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Machine Learning Research (JMLR)
5 Journal of Computational and Graphical Statistics
5 Bayesian Analysis
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Advances in Applied Probability
4 Applicable Analysis
4 Journal of Statistical Physics
4 Applied Mathematics and Optimization
4 Calcolo
4 Stochastic Analysis and Applications
4 Constructive Approximation
4 Communications in Statistics. Simulation and Computation
4 SIAM Review
4 INFORMS Journal on Computing
4 Communications in Nonlinear Science and Numerical Simulation
4 Optimization and Engineering
4 Mathematical Biosciences and Engineering
4 Inverse Problems in Science and Engineering
4 Discrete and Continuous Dynamical Systems. Series S
4 Kinetic and Related Models
4 Set-Valued and Variational Analysis
4 Journal of Agricultural, Biological, and Environmental Statistics
4 Journal of Mathematics in Industry
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 SMAI Journal of Computational Mathematics
4 Electronic Research Archive
3 International Journal of Control
3 Bulletin of Mathematical Biology
3 Journal of Statistical Planning and Inference
3 Operations Research
3 Insurance Mathematics & Economics
3 Chinese Annals of Mathematics. Series B
3 Optimization
3 Neural Computation
3 Journal of Global Optimization
3 Linear Algebra and its Applications
3 Stochastic Processes and their Applications
3 Celestial Mechanics and Dynamical Astronomy
...and 147 more Journals
all top 5

Cited in 48 Fields

917 Numerical analysis (65-XX)
654 Statistics (62-XX)
414 Probability theory and stochastic processes (60-XX)
386 Partial differential equations (35-XX)
141 Fluid mechanics (76-XX)
127 Computer science (68-XX)
113 Operations research, mathematical programming (90-XX)
93 Systems theory; control (93-XX)
92 Calculus of variations and optimal control; optimization (49-XX)
66 Biology and other natural sciences (92-XX)
62 Approximations and expansions (41-XX)
60 Geophysics (86-XX)
59 Mechanics of deformable solids (74-XX)
54 Dynamical systems and ergodic theory (37-XX)
53 Statistical mechanics, structure of matter (82-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 Information and communication theory, circuits (94-XX)
36 Optics, electromagnetic theory (78-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
27 Operator theory (47-XX)
23 Ordinary differential equations (34-XX)
23 Functional analysis (46-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
10 Combinatorics (05-XX)
10 Real functions (26-XX)
10 Integral equations (45-XX)
10 Mechanics of particles and systems (70-XX)
8 Measure and integration (28-XX)
8 Special functions (33-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Quantum theory (81-XX)
6 Potential theory (31-XX)
4 Number theory (11-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year