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: 511 Publications (since 2013) References Indexed: 446 Publications with 19,409 References. all top 5 Latest Issues 11 (2023) 10 (2022) 9 (2021) 8 (2020) 7 (2019) 6 (2018) 5 (2017) 4 (2016) 3 (2015) 2 (2014) 1 (2013) all top 5 Authors 8 Giles, Michael B. 8 Schwab, Christoph 8 Ullmann, Elisabeth 7 Nobile, Fabio 7 Scheichl, Robert 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 Ginsbourger, David 5 Gunzburger, Max D. 5 Narayan, Akil C. 5 Owen, Art B. 5 Rahman, Sharif 5 Roustant, Olivier 4 Chen, Nan 4 Dodwell, Tim J. 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 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 Berger, James Orvis 3 Beskos, Alexandros 3 Bocquet, Marc 3 Borgonovo, Emanuele 3 Broto, Baptiste 3 Carlberg, Kevin T. 3 Cohen, Albert 3 Constantinescu, Emil M. 3 Crisan, Dan O. 3 Dolgov, Sergey V. 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 Heitzinger, Clemens 3 Hobbs, Jonathan 3 Hosseini, Bamdad 3 Krämer, Boris 3 Morris, Max D. 3 Multerer, Michael 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 Webster, Clayton G. 3 Willcox, Karen E. 3 Zech, Jakob 2 Anitescu, Mihai 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 Bespalov, Alexei 2 Bessac, Julie 2 Binev, Peter G. 2 Birmpa, Panagiota 2 Bishop, Adrian N. ...and 917 more Authors all top 5 Fields 325 Numerical analysis (65-XX) 278 Statistics (62-XX) 209 Probability theory and stochastic processes (60-XX) 129 Partial differential equations (35-XX) 38 Systems theory; control (93-XX) 36 Computer science (68-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Geophysics (86-XX) 27 Fluid mechanics (76-XX) 27 Operations research, mathematical programming (90-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) 9 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 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 Commutative algebra (13-XX) 1 Measure and integration (28-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 393 Publications have been cited 3,018 times in 1,954 Documents Cited by ▼ Year ▼ A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 54 2015 A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow. Zbl 1330.65007Dodwell, T. J.; Ketelsen, C.; Scheichl, R.; Teckentrup, A. L. 48 2015 Analysis of the ensemble and polynomial chaos Kalman filters in Bayesian inverse problems. Zbl 1339.60041Ernst, Oliver G.; Sprungk, Björn; Starkloff, Hans-Jörg 38 2015 Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182Chen, Peng; Quarteroni, Alfio 36 2014 Sequential Monte Carlo methods for high-dimensional inverse problems: a case study for the Navier-Stokes equations. Zbl 1308.65010Kantas, Nikolas; Beskos, Alexandros; Jasra, Ajay 36 2014 Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. 36 2015 (Sub-)gradient formulae for probability functions of random inequality systems under Gaussian distribution. Zbl 1434.90111van Ackooij, Wim; Henrion, R. 33 2017 Existence and optimality conditions for risk-averse PDE-constrained optimization. Zbl 1393.49002Kouri, D. P.; Surowiec, T. M. 32 2018 Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. 31 2018 Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar 31 2017 Data assimilation in reduced modeling. Zbl 06736493Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 30 2017 Inverse random source scattering problems in several dimensions. Zbl 1355.78025Bao, Gang; Chen, Chuchu; Li, Peijun 29 2016 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424Elman, Howard C.; Liao, Qifeng 29 2013 An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270Bui-Thanh, Tan; Ghattas, Omar 28 2014 The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029Drohmann, Martin; Carlberg, Kevin 28 2015 Transport map accelerated Markov chain Monte Carlo. Zbl 1394.65004Parno, Matthew D.; Marzouk, Youssef M. 27 2018 Sobol’ indices and Shapley value. Zbl 1308.91129Owen, Art B. 25 2014 Reduced basis methods for uncertainty quantification. Zbl 1400.65010Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 25 2017 Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph 25 2016 Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin 24 2014 Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M. 24 2014 Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. Zbl 1349.62364Beck, Joakim; Guillas, Serge 24 2016 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084Rim, Donsub; Moe, Scott; LeVeque, Randall J. 24 2018 Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. Zbl 1327.65010Ballani, Jonas; Grasedyck, Lars 24 2015 Multilevel estimation of rare events. Zbl 1327.65246Ullmann, Elisabeth; Papaioannou, Iason 24 2015 Variance components and generalized Sobol’ indices. Zbl 1459.62144Owen, Art B. 24 2013 A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. Zbl 1383.62354Tuo, Rui; Jeff Wu, C. F. 23 2016 Path-space information bounds for uncertainty quantification and sensitivity analysis of stochastic dynamics. Zbl 1371.65004Dupuis, Paul; Katsoulakis, Markos A.; Pantazis, Yannis; Plecháč, Petr 23 2016 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 22 2016 Shapley effects for global sensitivity analysis: theory and computation. Zbl 1403.62226Song, Eunhye; Nelson, Barry L.; Staum, Jeremy 22 2016 Uniform regularity for linear kinetic equations with random input based on hypocoercivity. Zbl 1398.65257Li, Qin; Wang, Li 22 2017 Convergence of the square root ensemble Kalman filter in the large ensemble limit. Zbl 1329.60083Kwiatkowski, Evan; Mandel, Jan 21 2015 A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P. 21 2015 Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 1516.65118Scheichl, R.; Stuart, A. M.; Teckentrup, A. L. 21 2017 On Shapley value for measuring importance of dependent inputs. Zbl 1386.65064Owen, Art B.; Prieur, Clémentine 20 2017 Multilevel Monte Carlo approximation of distribution functions and densities. Zbl 1322.65014Giles, Michael B.; Nagapetyan, Tigran; Ritter, Klaus 20 2015 Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael 20 2017 A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel 19 2016 Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. Zbl 1383.35251Manzoni, A.; Pagani, S.; Lassila, T. 19 2016 Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus 19 2016 Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016Benner, Peter; Onwunta, Akwum; Stoll, Martin 19 2015 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. Zbl 1395.82229Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan 18 2018 An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. Zbl 1398.35306Eigel, Martin; Merdon, Christian; Neumann, Johannes 18 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342Despres, Bruno; Perthame, Benoit 17 2016 Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297Eigel, Martin; Merdon, Christian 17 2016 A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen 17 2013 Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. Zbl 07118418Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B. 17 2019 A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. Zbl 1307.49026Kouri, D. P. 16 2014 Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008Lüthen, Nora; Marelli, Stefano; Sudret, Bruno 16 2021 Fast sampling in a linear-Gaussian inverse problem. Zbl 1398.94081Fox, Colin; Norton, Richard A. 16 2016 Efficient history matching of a high dimensional individual-based HIV transmission model. Zbl 1387.62111Andrianakis, Ioannis; McCreesh, Nicky; Vernon, Ian; McKinley, Trevelyan J.; Oakley, Jeremy E.; Nsubuga, Rebecca N.; Goldstein, Michael; White, Richard G. 16 2017 An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213Feng, Xiaobing; Lin, Junshan; Lorton, Cody 16 2015 Well-posed Bayesian inverse problems: priors with exponential tails. Zbl 1371.35349Hosseini, Bamdad; Nigam, Nilima 16 2017 Scaled Gaussian stochastic process for computer model calibration and prediction. Zbl 1409.62185Gu, Mengyang; Wang, Long 15 2018 A Bayesian approach for global sensitivity analysis of (multifidelity) computer codes. Zbl 1308.62107Le Gratiet, Loic; Cannamela, Claire; Iooss, Bertrand 14 2014 Subsampled Gauss quadrature nodes for estimating polynomial chaos expansions. Zbl 1308.41005Tang, Gary; Iaccarino, Gianluca 14 2014 A multiscale strategy for Bayesian inference using transport maps. Zbl 1356.62038Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef 14 2016 Robust bounds on risk-sensitive functionals via Rényi divergence. Zbl 1341.60008Atar, Rami; Chowdhary, Kenny; Dupuis, Paul 14 2015 Polynomial chaos expansion of a multimodal random vector. Zbl 1327.62332Soize, C. 14 2015 Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396Van Barel, Andreas; Vandewalle, Stefan 14 2019 On the well-posedness of Bayesian inverse problems. Zbl 1437.49050Latz, Jonas 14 2020 A generalized ANOVA dimensional decomposition for dependent probability measures. Zbl 1311.62106Rahman, Sharif 13 2014 Higher-order quasi-Monte Carlo for Bayesian shape inversion. Zbl 1402.65141Gantner, Robert N.; Peters, Michael D. 13 2018 Dimension reduction for Gaussian process emulation: an application to the influence of bathymetry on tsunami heights. Zbl 1403.62217Liu, Xiaoyu; Guillas, Serge 13 2017 Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures. Zbl 1390.35417Hosseini, Bamdad 13 2017 Monotone emulation of computer experiments. Zbl 1327.62146Golchi, S.; Bingham, D. R.; Chipman, H.; Campbell, D. A. 13 2015 Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. Zbl 1370.62018Oliver, Dean S. 13 2017 Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George 13 2013 Multilevel nested simulation for efficient risk estimation. Zbl 1457.91416Giles, Michael B.; Haji-Ali, Abdul-Lateef 13 2019 Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163Nickl, Richard; van de Geer, Sara; Wang, Sven 13 2020 Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 12 2018 Estimating shape constrained functions using Gaussian processes. Zbl 1347.60040Wang, Xiaojing; Berger, James O. 12 2016 Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252Kunoth, Angela; Schwab, Christoph 12 2016 Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146Nane, Erkan; Tuan, Nguyen Huy 12 2018 Efficient Bayesian experimentation using an expected information gain lower bound. Zbl 1370.62019Tsilifis, Panagiotis; Ghanem, Roger G.; Hajali, Paris 12 2017 Optimal adaptation for early stopping in statistical inverse problems. Zbl 1401.65058Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus 12 2018 Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James 12 2018 Finite-dimensional Gaussian approximation with linear inequality constraints. Zbl 1405.60047López-Lopera, Andrés F.; Bachoc, François; Durrande, Nicolas; Roustant, Olivier 12 2018 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 12 2018 Random forward models and log-likelihoods in Bayesian inverse problems. Zbl 1409.62062Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L. 12 2018 Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes. Zbl 07003649Croci, Matteo; Giles, Mike B.; Rognes, M. E.; Farrell, Patrick E. 12 2018 Bayesian analysis of hierarchical multifidelity codes. Zbl 1280.62033Le Gratiet, Loic 12 2013 An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. Zbl 1448.65057Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. 12 2019 A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 12 2020 A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. 11 2021 Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare 11 2014 A hybrid sparse-grid approach for nonlinear filtering problems based on adaptive-domain of the Zakai equation approximations. Zbl 1343.60041Bao, Feng; Cao, Yanzhao; Webster, Clayton; Zhang, Guannan 11 2014 Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274Reich, Sebastian; Weissmann, Simon 11 2021 Sensitivity analysis based on Cramér-von Mises distance. Zbl 1392.62091Gamboa, Fabrice; Klein, Thierry; Lagnoux, Agnès 11 2018 Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen 11 2018 Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations. Zbl 1392.65013Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles 11 2018 A first order scheme for backward doubly stochastic differential equations. Zbl 1343.60096Bao, Feng; Cao, Yanzhao; Meir, Amnon; Zhao, Weidong 11 2016 Sequential design for ranking response surfaces. Zbl 1365.62319Hu, Ruimeng; Ludkovsk, Mike 11 2017 Displacement interpolation using monotone rearrangement. Zbl 07003644Rim, Donsub; Mandli, Kyle T. 11 2018 A hybrid alternating least squares-TT-cross algorithm for parametric PDEs. Zbl 1418.65170Dolgov, Sergey; Scheichl, Robert 11 2019 Importance sampling and necessary sample size: an information theory approach. Zbl 1396.65016Sanz-Alonso, Daniel 10 2018 Parameter selection and verification techniques based on global sensitivity analysis illustrated for an HIV model. Zbl 1341.92080Wentworth, Mami T.; Smith, Ralph C.; Banks, H. T. 10 2016 Dynamical polynomial chaos expansions and long time evolution of differential equations with random forcing. Zbl 1346.60108Ozen, H. Cagan; Bal, Guillaume 10 2016 The \(f\)-sensitivity index. Zbl 1348.62015Rahman, Sharif 10 2016 On unbiased estimation for discretized models. Zbl 1514.65007Heng, Jeremy; Jasra, Ajay; Law, Kody J. 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H. 13 Soize, Christian 13 Tong, Xin Thomson 13 Van Ackooij, Wim 12 Bao, Feng 12 Borgonovo, Emanuele 12 Cui, Tiangang 12 Jin, Shi 12 Latz, Jonas 12 Papaioannou, Iason 12 Reich, Sebastian 12 Rozza, Gianluigi 12 Scheichl, Robert 11 Alexanderian, Alen 11 Beskos, Alexandros 11 Bespalov, Alexei 11 Crisan, Dan O. 11 Ghanem, Roger G. 11 Girolami, Mark A. 11 Henrion, René 11 Jakeman, John Davis 11 Jiang, Lijian 11 Sanz-Alonso, Daniel 11 Schillings, Claudia 11 Surowiec, Thomas 11 Yamada, Toshihiro 10 Dolgov, Sergey V. 10 Eigel, Martin 10 Giles, Michael B. 10 Goda, Takashi 10 Gramacy, Robert B. 10 Kirby, Robert M. II 10 Lin, Guang 10 Nguyen Huy Tuan 10 Pulch, Roland 10 Rahman, Sharif 10 Sudret, Bruno 10 Teckentrup, Aretha L. 9 Bardsley, Johnathan M. 9 Heitsch, Holger 9 Helin, Tapio 9 Hosseini, Bamdad 9 Kressner, Daniel 9 Kühn, Christian 9 Mula, Olga 9 Multerer, Michael D. 9 Oates, Chris J. 9 Pérez-Aros, Pedro 9 Sprungk, Björn 9 Wang, Xu 9 Yang, Xiu 9 Zhu, Xueyu 8 Benner, Peter 8 Chada, Neil K. 8 Chaudhry, Jehanzeb Hameed 8 Elman, Howard C. 8 Ghattas, Omar N. 8 Grigoriu, Mircea Dan 8 Gunzburger, Max D. 8 Li, Jinglai 8 Li, Qin 8 Liu, Liu 8 Majda, Andrew J. 8 Rey-Bellet, Luc 8 Sangalli, Laura Maria 8 Wohlmuth, Barbara I. 8 Zhang, Zhiwen 7 Chen, Nan 7 Doostan, Alireza 7 Harbrecht, Helmut 7 Klein, Thierry E. 7 Koutsourelakis, Phaedon-Stelios 7 Lie, Han Cheng 7 Manzoni, Andrea 7 Matthies, Hermann Georg 7 Nickl, Richard 7 Quarteroni, Alfio M. 7 Sandu, Adrian 7 Sousedík, Bedřich 7 Straub, Daniel 7 Tamellini, Lorenzo 7 Tartakovsky, Alexandre M. 7 Tsilifis, Panagiotis A. 7 Tuo, Rui 6 Abdulle, Assyr ...and 3,074 more Authors all top 5 Cited in 267 Journals 244 SIAM/ASA Journal on Uncertainty Quantification 167 Journal of Computational Physics 124 Computer Methods in Applied Mechanics and Engineering 120 SIAM Journal on Scientific Computing 64 Inverse Problems 49 Statistics and Computing 33 Journal of Scientific Computing 31 Journal of Computational and Applied Mathematics 28 SIAM Journal on Numerical Analysis 27 Computational Geosciences 26 Numerische Mathematik 20 Electronic Journal of Statistics 19 Computers & Mathematics with Applications 19 Journal of the American Statistical Association 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Communications in Computational Physics 16 Advances in Computational Mathematics 16 The Annals of Applied Statistics 15 Applied Mathematical Modelling 15 European Journal of Operational Research 15 SIAM Journal on Applied Dynamical Systems 15 Multiscale Modeling & Simulation 14 Mathematics of Computation 14 Computational Statistics and Data Analysis 14 SIAM Journal on Optimization 12 Computers and Fluids 12 The Annals of Applied Probability 11 Applied Numerical Mathematics 11 Chaos 11 Journal of Machine Learning Research (JMLR) 10 BIT 10 Journal of Differential Equations 10 Mathematics and Computers in Simulation 10 SIAM Journal on Control and Optimization 10 Bernoulli 10 Acta Numerica 10 Inverse Problems and Imaging 10 SIAM Journal on Imaging Sciences 9 Computational Mechanics 9 Monte Carlo Methods and Applications 9 Oberwolfach Reports 9 Foundations of Data Science 8 Journal of Fluid Mechanics 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics and Computation 8 International Journal for Numerical Methods in Engineering 8 Statistical Science 8 SIAM Journal on Matrix Analysis and Applications 8 SIAM Journal on Applied Mathematics 8 SIAM Journal on Mathematical Analysis 8 Mathematical Programming. 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Mathematical, Physical and Engineering Sciences 4 Advances in Applied Probability 4 Applicable Analysis 4 Journal of Statistical Physics 4 Applied Mathematics and Optimization 4 Stochastic Analysis and Applications 4 Optimization 4 Communications in Statistics. Simulation and Computation 4 Celestial Mechanics and Dynamical Astronomy 4 Computational Optimization and Applications 4 INFORMS Journal on Computing 4 Optimization and Engineering 4 Computational Methods in Applied Mathematics 4 Analysis and Applications (Singapore) 4 Discrete and Continuous Dynamical Systems. Series S 4 Set-Valued and Variational Analysis 4 Journal of Mathematics in Industry 4 SMAI Journal of Computational Mathematics 4 Electronic Research Archive ...and 167 more Journals all top 5 Cited in 49 Fields 1,123 Numerical analysis (65-XX) 788 Statistics (62-XX) 525 Probability theory and stochastic processes (60-XX) 464 Partial differential equations (35-XX) 180 Fluid mechanics (76-XX) 179 Computer science (68-XX) 140 Operations research, mathematical programming (90-XX) 121 Calculus of variations and optimal control; optimization (49-XX) 119 Systems theory; control (93-XX) 75 Mechanics of deformable solids (74-XX) 75 Biology and other natural sciences (92-XX) 71 Geophysics (86-XX) 69 Approximations and expansions (41-XX) 63 Dynamical systems and ergodic theory (37-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Statistical mechanics, structure of matter (82-XX) 45 Information and communication theory, circuits (94-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 39 Optics, electromagnetic theory (78-XX) 32 Ordinary differential equations (34-XX) 32 Operator theory (47-XX) 27 Functional analysis (46-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Integral equations (45-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Combinatorics (05-XX) 12 Mechanics of particles and systems (70-XX) 12 Quantum theory (81-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 General and overarching topics; collections (00-XX) 9 Real functions (26-XX) 9 Special functions (33-XX) 8 Measure and integration (28-XX) 6 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 2 Differential geometry (53-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 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year