Yerramilli, Suraj; Iyer, Akshay; Chen, Wei; Apley, Daniel W. Fully Bayesian inference for latent variable Gaussian process models. (English) Zbl 07787067 SIAM/ASA J. Uncertain. Quantif. 11, 1357-1381 (2023). MSC: 62P30 PDFBibTeX XMLCite \textit{S. Yerramilli} et al., SIAM/ASA J. Uncertain. Quantif. 11, 1357--1381 (2023; Zbl 07787067) Full Text: DOI arXiv
Halonen, Vilho; Pölönen, Ilkka Quantification of errors generated by uncertain data in a linear boundary value problem using neural networks. (English) Zbl 07787063 SIAM/ASA J. Uncertain. Quantif. 11, 1258-1277 (2023). MSC: 65G99 68T07 PDFBibTeX XMLCite \textit{V. Halonen} and \textit{I. Pölönen}, SIAM/ASA J. Uncertain. Quantif. 11, 1258--1277 (2023; Zbl 07787063) Full Text: DOI
Milz, Johannes Reliable error estimates for optimal control of linear elliptic PDEs with random inputs. (English) Zbl 07787060 SIAM/ASA J. Uncertain. Quantif. 11, 1139-1163 (2023). MSC: 90C15 90C60 35Q93 35R60 49M25 49N10 65M60 65C05 PDFBibTeX XMLCite \textit{J. Milz}, SIAM/ASA J. Uncertain. Quantif. 11, 1139--1163 (2023; Zbl 07787060) Full Text: DOI arXiv
Everink, Jasper M.; Dong, Yiqiu; Andersen, Martin S. Bayesian inference with projected densities. (English) Zbl 07772683 SIAM/ASA J. Uncertain. Quantif. 11, 1025-1043 (2023). MSC: 62F15 65C05 90C25 PDFBibTeX XMLCite \textit{J. M. Everink} et al., SIAM/ASA J. Uncertain. Quantif. 11, 1025--1043 (2023; Zbl 07772683) Full Text: DOI arXiv
Cartee, Elliot; Farah, Antonio; Nellis, April; Van Hook, Jacob; Vladimirsky, Alexander Quantifying and managing uncertainty in piecewise-deterministic Markov processes. (English) Zbl 1521.60041 SIAM/ASA J. Uncertain. Quantif. 11, 814-847 (2023). MSC: 60J27 49L20 35F21 35F61 60K40 65M06 65C40 PDFBibTeX XMLCite \textit{E. Cartee} et al., SIAM/ASA J. Uncertain. Quantif. 11, 814--847 (2023; Zbl 1521.60041) Full Text: DOI arXiv
Patil, Prerna; Babaee, Hessam Reduced-order modeling with time-dependent bases for PDEs with stochastic boundary conditions. (English) Zbl 07733135 SIAM/ASA J. Uncertain. Quantif. 11, 727-756 (2023). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{P. Patil} and \textit{H. Babaee}, SIAM/ASA J. Uncertain. Quantif. 11, 727--756 (2023; Zbl 07733135) Full Text: DOI arXiv
Chen, Yian; Anitescu, Mihai Scalable physics-based maximum likelihood estimation using hierarchical matrices. (English) Zbl 1518.62002 SIAM/ASA J. Uncertain. Quantif. 11, 682-725 (2023). MSC: 62-08 62M30 62F10 65F55 15A15 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. Anitescu}, SIAM/ASA J. Uncertain. Quantif. 11, 682--725 (2023; Zbl 1518.62002) Full Text: DOI arXiv
Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl Analysis of a class of multilevel Markov chain Monte Carlo algorithms based on independent Metropolis-Hastings. (English) Zbl 1518.35680 SIAM/ASA J. Uncertain. Quantif. 11, 91-138 (2023). MSC: 35R30 62F15 62P30 65M32 60J05 60J22 PDFBibTeX XMLCite \textit{J. P. Madrigal-Cianci} et al., SIAM/ASA J. Uncertain. Quantif. 11, 91--138 (2023; Zbl 1518.35680) Full Text: DOI arXiv
Edeling, Wouter On the deep active-subspace method. (English) Zbl 07705324 SIAM/ASA J. Uncertain. Quantif. 11, 62-90 (2023). MSC: 68Txx PDFBibTeX XMLCite \textit{W. Edeling}, SIAM/ASA J. Uncertain. Quantif. 11, 62--90 (2023; Zbl 07705324) Full Text: DOI
Jahnke, Tobias; Stein, Benny A multilevel stochastic collocation method for Schrödinger equations with a random potential. (English) Zbl 1514.65142 SIAM/ASA J. Uncertain. Quantif. 10, 1753-1780 (2022). MSC: 65M70 65M12 65M15 65D05 35Q41 PDFBibTeX XMLCite \textit{T. Jahnke} and \textit{B. Stein}, SIAM/ASA J. Uncertain. Quantif. 10, 1753--1780 (2022; Zbl 1514.65142) Full Text: DOI
Sung, Chih-Li; Barber, Beau David; Walker, Berkley J. Calibration of inexact computer models with heteroscedastic errors. (English) Zbl 1514.62046 SIAM/ASA J. Uncertain. Quantif. 10, 1733-1752 (2022). MSC: 62F10 62F03 62F12 62-04 PDFBibTeX XMLCite \textit{C.-L. Sung} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1733--1752 (2022; Zbl 1514.62046) Full Text: DOI arXiv
Grote, Marcus J.; Michel, Simon; Nobile, Fabio Uncertainty quantification by multilevel Monte Carlo and local time-stepping for wave propagation. (English) Zbl 1506.65008 SIAM/ASA J. Uncertain. Quantif. 10, 1601-1628 (2022). MSC: 65C05 65L06 65M20 65M60 65M75 PDFBibTeX XMLCite \textit{M. J. Grote} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1601--1628 (2022; Zbl 1506.65008) Full Text: DOI arXiv
Akyildiz, Ömer Deniz; Duffin, Connor; Sabanis, Sotirios; Girolami, Mark Statistical finite elements via Langevin dynamics. (English) Zbl 1506.65006 SIAM/ASA J. Uncertain. Quantif. 10, 1560-1585 (2022). MSC: 65C05 60H15 65N30 35R30 PDFBibTeX XMLCite \textit{Ö. D. Akyildiz} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1560--1585 (2022; Zbl 1506.65006) Full Text: DOI arXiv
Birmpa, Panagiota; Feng, Jinchao; Katsoulakis, Markos A.; Rey-Bellet, Luc Model uncertainty and correctability for directed graphical models. (English) Zbl 1498.62112 SIAM/ASA J. Uncertain. Quantif. 10, 1461-1512 (2022). MSC: 62H22 62P30 68T37 80A30 93B35 94A17 PDFBibTeX XMLCite \textit{P. Birmpa} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1461--1512 (2022; Zbl 1498.62112) Full Text: DOI arXiv
Hu, Mengqi; Lou, Yifei; Yang, Xiu A general framework of rotational sparse approximation in uncertainty quantification. (English) Zbl 1511.41003 SIAM/ASA J. Uncertain. Quantif. 10, 1410-1434 (2022). MSC: 41A10 65C30 90C26 PDFBibTeX XMLCite \textit{M. Hu} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1410--1434 (2022; Zbl 1511.41003) Full Text: DOI arXiv
Chen, Nan; Deng, Quanling; Stechmann, Samuel Superfloe parameterization with physics constraints for uncertainty quantification of sea ice floes. (English) Zbl 1498.86001 SIAM/ASA J. Uncertain. Quantif. 10, 1384-1409 (2022). MSC: 86-08 65P99 65M99 76M28 PDFBibTeX XMLCite \textit{N. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1384--1409 (2022; Zbl 1498.86001) Full Text: DOI arXiv
Kouri, Drew P.; Surowiec, Thomas M. Corrigendum to: “Existence and optimality conditions for risk-averse PDE-constrained optimization”. (English) Zbl 1499.49015 SIAM/ASA J. Uncertain. Quantif. 10, 1321-1322 (2022). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, SIAM/ASA J. Uncertain. Quantif. 10, 1321--1322 (2022; Zbl 1499.49015) Full Text: DOI
Pham, Trung; Gorodetsky, Alex A. Ensemble approximate control variate estimators: applications to multifidelity importance sampling. (English) Zbl 1498.62014 SIAM/ASA J. Uncertain. Quantif. 10, 1250-1292 (2022). MSC: 62-08 62H12 PDFBibTeX XMLCite \textit{T. Pham} and \textit{A. A. Gorodetsky}, SIAM/ASA J. Uncertain. Quantif. 10, 1250--1292 (2022; Zbl 1498.62014) Full Text: DOI arXiv
Churchill, Victor; Gelb, Anne Sampling-based spotlight SAR image reconstruction from phase history data for Speckle reduction and uncertainty quantification. (English) Zbl 1504.94011 SIAM/ASA J. Uncertain. Quantif. 10, 1225-1249 (2022). Reviewer: Oscar Bustos (Córdoba) MSC: 94A08 68U10 62F15 65C05 65F22 62G07 60J22 PDFBibTeX XMLCite \textit{V. Churchill} and \textit{A. Gelb}, SIAM/ASA J. Uncertain. Quantif. 10, 1225--1249 (2022; Zbl 1504.94011) Full Text: DOI
Sousedík, Bedřich; Lee, Kookjin Stochastic Galerkin methods for linear stability analysis of systems with parametric uncertainty. (English) Zbl 1516.65100 SIAM/ASA J. Uncertain. Quantif. 10, 1101-1129 (2022). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65N25 65N22 65F08 65F10 65F15 65M12 60H15 65L07 76D05 35R60 65C10 65M70 PDFBibTeX XMLCite \textit{B. Sousedík} and \textit{K. Lee}, SIAM/ASA J. Uncertain. Quantif. 10, 1101--1129 (2022; Zbl 1516.65100) Full Text: DOI arXiv
Zhang, Jiahui; Gelb, Anne; Scarnati, Theresa Empirical Bayesian inference using a support informed prior. (English) Zbl 1493.62031 SIAM/ASA J. Uncertain. Quantif. 10, 745-774 (2022). MSC: 62C12 65C40 68U10 PDFBibTeX XMLCite \textit{J. Zhang} et al., SIAM/ASA J. Uncertain. Quantif. 10, 745--774 (2022; Zbl 1493.62031) Full Text: DOI
Salter, James M.; Williamson, Daniel B.; Gregoire, Lauren J.; Edwards, Tamsin L. Quantifying spatio-temporal boundary condition uncertainty for the North American deglaciation. (English) Zbl 1493.86004 SIAM/ASA J. Uncertain. Quantif. 10, 717-744 (2022). MSC: 86A32 60G15 86A40 PDFBibTeX XMLCite \textit{J. M. Salter} et al., SIAM/ASA J. Uncertain. Quantif. 10, 717--744 (2022; Zbl 1493.86004) Full Text: DOI arXiv
Birmpa, Panagiota; Katsoulakis, Markos A. Uncertainty quantification for Markov random fields. (English) Zbl 1473.62197 SIAM/ASA J. Uncertain. Quantif. 9, 1457-1498 (2021). MSC: 62H22 82B20 94A17 PDFBibTeX XMLCite \textit{P. Birmpa} and \textit{M. A. Katsoulakis}, SIAM/ASA J. Uncertain. Quantif. 9, 1457--1498 (2021; Zbl 1473.62197) Full Text: DOI arXiv
Patel, Dhruv V.; Oberai, Assad A. GAN-based priors for quantifying uncertainty in supervised learning. (English) Zbl 1473.62092 SIAM/ASA J. Uncertain. Quantif. 9, 1314-1343 (2021). MSC: 62F15 68T37 68T07 62-04 PDFBibTeX XMLCite \textit{D. V. Patel} and \textit{A. A. Oberai}, SIAM/ASA J. Uncertain. Quantif. 9, 1314--1343 (2021; Zbl 1473.62092) Full Text: DOI
Branicki, Michal; Uda, Kenneth Lagrangian uncertainty quantification and information inequalities for stochastic flows. (English) Zbl 1481.60104 SIAM/ASA J. Uncertain. Quantif. 9, 1242-1313 (2021). MSC: 60H10 60H30 94A15 37H10 PDFBibTeX XMLCite \textit{M. Branicki} and \textit{K. Uda}, SIAM/ASA J. Uncertain. Quantif. 9, 1242--1313 (2021; Zbl 1481.60104) Full Text: DOI arXiv
Resseguier, Valentin; Picard, Agustin M.; Memin, Etienne; Chapron, Bertrand Quantifying truncation-related uncertainties in unsteady fluid dynamics reduced order models. (English) Zbl 1481.60132 SIAM/ASA J. Uncertain. Quantif. 9, 1152-1183 (2021). MSC: 60H35 65M60 65M75 76M35 PDFBibTeX XMLCite \textit{V. Resseguier} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1152--1183 (2021; Zbl 1481.60132) Full Text: DOI
Braverman, Amy; Hobbs, Jonathan; Teixeira, Joaquim; Gunson, Michael Post hoc uncertainty quantification for remote sensing observing systems. (English) Zbl 1468.62262 SIAM/ASA J. Uncertain. Quantif. 9, 1064-1093 (2021). MSC: 62G05 62G07 62G08 62G15 62H30 62P12 PDFBibTeX XMLCite \textit{A. Braverman} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1064--1093 (2021; Zbl 1468.62262) Full Text: DOI
Schaden, Daniel; Ullmann, Elisabeth Asymptotic analysis of multilevel best linear unbiased estimators. (English) Zbl 1497.65235 SIAM/ASA J. Uncertain. Quantif. 9, 953-978 (2021). MSC: 65N30 65N75 65C05 65B05 62J05 62F12 35B40 35R60 PDFBibTeX XMLCite \textit{D. Schaden} and \textit{E. Ullmann}, SIAM/ASA J. Uncertain. Quantif. 9, 953--978 (2021; Zbl 1497.65235) Full Text: DOI arXiv
Djurdjevac, Ana Linear parabolic problems in random moving domains. (English) Zbl 1471.35346 SIAM/ASA J. Uncertain. Quantif. 9, 848-879 (2021). MSC: 35R60 35K05 35K20 PDFBibTeX XMLCite \textit{A. Djurdjevac}, SIAM/ASA J. Uncertain. Quantif. 9, 848--879 (2021; Zbl 1471.35346) Full Text: DOI arXiv
Hu, Jingwei; Pareschi, Lorenzo; Wang, Yubo Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods. (English) Zbl 1473.35389 SIAM/ASA J. Uncertain. Quantif. 9, 650-680 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q20 35R60 65C05 35B40 76P05 82C40 35A01 35A02 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM/ASA J. Uncertain. Quantif. 9, 650--680 (2021; Zbl 1473.35389) Full Text: DOI arXiv
Lüthen, Nora; Marelli, Stefano; Sudret, Bruno Sparse polynomial chaos expansions: literature survey and benchmark. (English) Zbl 1464.65008 SIAM/ASA J. Uncertain. Quantif. 9, 593-649 (2021). MSC: 65C20 62K20 62P30 PDFBibTeX XMLCite \textit{N. Lüthen} et al., SIAM/ASA J. Uncertain. Quantif. 9, 593--649 (2021; Zbl 1464.65008) Full Text: DOI arXiv
Blanchard, Antoine; Sapsis, Themistoklis Output-weighted optimal sampling for Bayesian experimental design and uncertainty quantification. (English) Zbl 1464.62356 SIAM/ASA J. Uncertain. Quantif. 9, 564-592 (2021). MSC: 62K05 62G32 60G70 62D05 86A05 PDFBibTeX XMLCite \textit{A. Blanchard} and \textit{T. Sapsis}, SIAM/ASA J. Uncertain. Quantif. 9, 564--592 (2021; Zbl 1464.62356) Full Text: DOI arXiv
Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. A quasi-Monte Carlo method for optimal control under uncertainty. (English) Zbl 1475.49004 SIAM/ASA J. Uncertain. Quantif. 9, 354-383 (2021). Reviewer: Patrícia Nunes da Silva (Rio de Janeiro) MSC: 49J20 65D30 65D32 PDFBibTeX XMLCite \textit{P. A. Guth} et al., SIAM/ASA J. Uncertain. Quantif. 9, 354--383 (2021; Zbl 1475.49004) Full Text: DOI arXiv
Li, Wenyu; Hegde, Arun; Oreluk, James; Packard, Andrew; Frenklach, Michael Representing model discrepancy in bound-to-bound data collaboration. (English) Zbl 1462.62765 SIAM/ASA J. Uncertain. Quantif. 9, 231-259 (2021). MSC: 62R07 68T37 PDFBibTeX XMLCite \textit{W. Li} et al., SIAM/ASA J. Uncertain. Quantif. 9, 231--259 (2021; Zbl 1462.62765) Full Text: DOI arXiv
Li, Qin; Liu, Jian-Guo; Shu, Ruiwen Sensitivity analysis of Burgers’ equation with shocks. (English) Zbl 1460.65129 SIAM/ASA J. Uncertain. Quantif. 8, 1493-1521 (2020). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M70 35L67 35R60 35Q53 93B35 62C10 PDFBibTeX XMLCite \textit{Q. Li} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1493--1521 (2020; Zbl 1460.65129) Full Text: DOI arXiv
Mignolet, Marc; Soize, Christian Compressed principal component analysis of non-Gaussian vectors. (English) Zbl 1451.62069 SIAM/ASA J. Uncertain. Quantif. 8, 1261-1286 (2020). MSC: 62H25 60G60 PDFBibTeX XMLCite \textit{M. Mignolet} and \textit{C. Soize}, SIAM/ASA J. Uncertain. Quantif. 8, 1261--1286 (2020; Zbl 1451.62069) Full Text: DOI
Eigel, Martin; Marschall, Manuel; Multerer, Michael An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains. (English) Zbl 1447.65137 SIAM/ASA J. Uncertain. Quantif. 8, 1189-1214 (2020). MSC: 65N30 65N12 35R60 47B80 60H35 65C20 65N22 65J10 PDFBibTeX XMLCite \textit{M. Eigel} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1189--1214 (2020; Zbl 1447.65137) Full Text: DOI arXiv
Yang, Lun; Wang, Peng; Tartakovsky, Daniel M. Resource-constrained model selection for uncertainty propagation and data assimilation. (English) Zbl 07242147 SIAM/ASA J. Uncertain. Quantif. 8, 1118-1138 (2020). MSC: 65C30 65C05 76D05 60H30 PDFBibTeX XMLCite \textit{L. Yang} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1118--1138 (2020; Zbl 07242147) Full Text: DOI
Crépey, S.; Fort, G.; Gobet, E.; Stazhynski, U. Uncertainty quantification for stochastic approximation limits using chaos expansion. (English) Zbl 1448.62125 SIAM/ASA J. Uncertain. Quantif. 8, 1061-1089 (2020). MSC: 62L20 41A10 41A25 60B12 60F15 90C15 PDFBibTeX XMLCite \textit{S. Crépey} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1061--1089 (2020; Zbl 1448.62125) Full Text: DOI
Mukherjee, Arpan; Rai, Rahul; Singla, Puneet; Singh, Tarunraj; Patra, Abani Overlapping clustering based technique for scalable uncertainty quantification in physical systems. (English) Zbl 07242138 SIAM/ASA J. Uncertain. Quantif. 8, 827-859 (2020). MSC: 65C30 91C20 65D32 PDFBibTeX XMLCite \textit{A. Mukherjee} et al., SIAM/ASA J. Uncertain. Quantif. 8, 827--859 (2020; Zbl 07242138) Full Text: DOI
Dölz, Jürgen A higher order perturbation approach for electromagnetic scattering problems on random domains. (English) Zbl 1454.35364 SIAM/ASA J. Uncertain. Quantif. 8, 748-774 (2020). Reviewer: Nikolaos L. Tsitsas (Athína) MSC: 35Q60 60H35 65C30 78A45 35R60 PDFBibTeX XMLCite \textit{J. Dölz}, SIAM/ASA J. Uncertain. Quantif. 8, 748--774 (2020; Zbl 1454.35364) Full Text: DOI arXiv
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur Adaptive reduced-order model construction for conditional value-at-risk estimation. (English) Zbl 1443.62152 SIAM/ASA J. Uncertain. Quantif. 8, 668-692 (2020). MSC: 62H12 35R60 65G99 65Y20 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., SIAM/ASA J. Uncertain. Quantif. 8, 668--692 (2020; Zbl 1443.62152) Full Text: DOI
Ren, Kui; Vallélian, Sarah Characterizing impacts of model uncertainties in quantitative photoacoustics. (English) Zbl 1439.35570 SIAM/ASA J. Uncertain. Quantif. 8, 636-667 (2020). MSC: 35R30 49N45 35Q74 65M32 65N21 74J25 PDFBibTeX XMLCite \textit{K. Ren} and \textit{S. Vallélian}, SIAM/ASA J. Uncertain. Quantif. 8, 636--667 (2020; Zbl 1439.35570) Full Text: DOI arXiv
Schaden, Daniel; Ullmann, Elisabeth On multilevel best linear unbiased estimators. (English) Zbl 1439.35591 SIAM/ASA J. Uncertain. Quantif. 8, 601-635 (2020). MSC: 35R60 62J05 65N30 65C05 PDFBibTeX XMLCite \textit{D. Schaden} and \textit{E. Ullmann}, SIAM/ASA J. Uncertain. Quantif. 8, 601--635 (2020; Zbl 1439.35591) Full Text: DOI
Birrell, Jeremiah; Rey-Bellet, Luc Uncertainty quantification for Markov processes via variational principles and functional inequalities. (English) Zbl 1501.47073 SIAM/ASA J. Uncertain. Quantif. 8, 539-572 (2020). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D07 39B72 60F10 60J25 PDFBibTeX XMLCite \textit{J. Birrell} and \textit{L. Rey-Bellet}, SIAM/ASA J. Uncertain. Quantif. 8, 539--572 (2020; Zbl 1501.47073) Full Text: DOI arXiv
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob Domain uncertainty quantification in computational electromagnetics. (English) Zbl 1483.65010 SIAM/ASA J. Uncertain. Quantif. 8, 301-341 (2020). MSC: 65C05 62F15 83C50 65N30 PDFBibTeX XMLCite \textit{R. Aylwin} et al., SIAM/ASA J. Uncertain. Quantif. 8, 301--341 (2020; Zbl 1483.65010) Full Text: DOI
Ditkowski, Adi; Fibich, Gadi; Sagiv, Amir Density estimation in uncertainty propagation problems using a surrogate model. (English) Zbl 1483.65024 SIAM/ASA J. Uncertain. Quantif. 8, 261-300 (2020). MSC: 65D07 65Z05 62G07 78A60 PDFBibTeX XMLCite \textit{A. Ditkowski} et al., SIAM/ASA J. Uncertain. Quantif. 8, 261--300 (2020; Zbl 1483.65024) Full Text: DOI arXiv
Spiliopoulos, Konstantinos Information geometry for approximate Bayesian computation. (English) Zbl 1436.62033 SIAM/ASA J. Uncertain. Quantif. 8, 229-260 (2020). MSC: 62B11 62F12 65C05 62F15 60K10 PDFBibTeX XMLCite \textit{K. Spiliopoulos}, SIAM/ASA J. Uncertain. Quantif. 8, 229--260 (2020; Zbl 1436.62033) Full Text: DOI arXiv
Constantinescu, Emil M.; Petra, Noémi; Bessac, Julie; Petra, Cosmin G. Statistical treatment of inverse problems constrained by differential equations-based models with stochastic terms. (English) Zbl 1439.35466 SIAM/ASA J. Uncertain. Quantif. 8, 170-197 (2020). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q62 62F15 35R30 35Q93 65K10 62H10 62M20 PDFBibTeX XMLCite \textit{E. M. Constantinescu} et al., SIAM/ASA J. Uncertain. Quantif. 8, 170--197 (2020; Zbl 1439.35466) Full Text: DOI arXiv
Rahman, Sharif A spline chaos expansion. (English) Zbl 1436.41009 SIAM/ASA J. Uncertain. Quantif. 8, 27-57 (2020). MSC: 41A15 60H35 PDFBibTeX XMLCite \textit{S. Rahman}, SIAM/ASA J. Uncertain. Quantif. 8, 27--57 (2020; Zbl 1436.41009) Full Text: DOI arXiv
Volodina, Victoria; Williamson, Daniel Diagnostics-driven nonstationary emulators using kernel mixtures. (English) Zbl 1436.62365 SIAM/ASA J. Uncertain. Quantif. 8, 1-26 (2020). MSC: 62J20 62P12 60G15 62F15 PDFBibTeX XMLCite \textit{V. Volodina} and \textit{D. Williamson}, SIAM/ASA J. Uncertain. Quantif. 8, 1--26 (2020; Zbl 1436.62365) Full Text: DOI arXiv
Mycek, Paul; De Lozzo, Matthias Multilevel Monte Carlo covariance estimation for the computation of Sobol’ indices. (English) Zbl 1483.65012 SIAM/ASA J. Uncertain. Quantif. 7, 1323-1348 (2019). MSC: 65C05 65N55 62L12 62D05 68Q25 PDFBibTeX XMLCite \textit{P. Mycek} and \textit{M. De Lozzo}, SIAM/ASA J. Uncertain. Quantif. 7, 1323--1348 (2019; Zbl 1483.65012) Full Text: DOI
Motamed, Mohammad Fuzzy-stochastic partial differential equations. (English) Zbl 1423.35428 SIAM/ASA J. Uncertain. Quantif. 7, 1076-1104 (2019). MSC: 35R13 35R60 35B30 35B65 60H15 PDFBibTeX XMLCite \textit{M. Motamed}, SIAM/ASA J. Uncertain. Quantif. 7, 1076--1104 (2019; Zbl 1423.35428) Full Text: DOI arXiv
Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B. Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. (English) Zbl 07118418 SIAM/ASA J. Uncertain. Quantif. 7, 948-974 (2019). MSC: 65C05 60G60 35F30 65C60 28C20 PDFBibTeX XMLCite \textit{U. Khristenko} et al., SIAM/ASA J. Uncertain. Quantif. 7, 948--974 (2019; Zbl 07118418) Full Text: DOI arXiv
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. (English) Zbl 1469.65170 SIAM/ASA J. Uncertain. Quantif. 7, 913-947 (2019). Reviewer: Muhammad Hassan (Aachen) MSC: 65N75 65C05 26A33 35R11 65N12 PDFBibTeX XMLCite \textit{L. Herrmann} et al., SIAM/ASA J. Uncertain. Quantif. 7, 913--947 (2019; Zbl 1469.65170) Full Text: DOI
Peherstorfer, Benjamin Multifidelity Monte Carlo estimation with adaptive low-fidelity models. (English) Zbl 1428.35570 SIAM/ASA J. Uncertain. Quantif. 7, 579-603 (2019). MSC: 35Q62 62F25 62-08 65C05 60H35 35R60 PDFBibTeX XMLCite \textit{B. Peherstorfer}, SIAM/ASA J. Uncertain. Quantif. 7, 579--603 (2019; Zbl 1428.35570) Full Text: DOI
Tuo, Rui Adjustments to computer models via projected kernel calibration. (English) Zbl 1430.62261 SIAM/ASA J. Uncertain. Quantif. 7, 553-578 (2019). MSC: 62P30 62A01 62F12 62F15 62-08 PDFBibTeX XMLCite \textit{R. Tuo}, SIAM/ASA J. Uncertain. Quantif. 7, 553--578 (2019; Zbl 1430.62261) Full Text: DOI arXiv
Adelmann, Andreas On nonintrusive uncertainty quantification and surrogate model construction in particle accelerator modeling. (English) Zbl 1422.62381 SIAM/ASA J. Uncertain. Quantif. 7, 383-416 (2019). MSC: 62P35 62H11 70F35 37D45 PDFBibTeX XMLCite \textit{A. Adelmann}, SIAM/ASA J. Uncertain. Quantif. 7, 383--416 (2019; Zbl 1422.62381) Full Text: DOI
Fadikar, Arindam; Higdon, Dave; Chen, Jiangzhuo; Lewis, Bryan; Venkatramanan, Srinivasan; Marathe, Madhav Calibrating a stochastic, agent-based model using quantile-based emulation. (English) Zbl 1409.62111 SIAM/ASA J. Uncertain. Quantif. 6, 1685-1706 (2018). MSC: 62H12 62F15 62P10 60G15 62M10 PDFBibTeX XMLCite \textit{A. Fadikar} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1685--1706 (2018; Zbl 1409.62111) Full Text: DOI arXiv
Djurdjevac, Ana; Elliott, Charles M.; Kornhuber, Ralf; Ranner, Thomas Evolving surface finite element methods for random advection-diffusion equations. (English) Zbl 1407.65258 SIAM/ASA J. Uncertain. Quantif. 6, 1656-1684 (2018). MSC: 65N30 65N12 65C05 65N15 35R60 PDFBibTeX XMLCite \textit{A. Djurdjevac} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1656--1684 (2018; Zbl 1407.65258) Full Text: DOI arXiv
Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L. Random forward models and log-likelihoods in Bayesian inverse problems. (English) Zbl 1409.62062 SIAM/ASA J. Uncertain. Quantif. 6, 1600-1629 (2018). MSC: 62F15 62G08 65D05 68W20 PDFBibTeX XMLCite \textit{H. C. Lie} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1600--1629 (2018; Zbl 1409.62062) Full Text: DOI arXiv
Yang, Xiu; Li, Weixuan; Tartakovsky, Alexandre Sliced-inverse-regression-aided rotated compressive sensing method for uncertainty quantification. (English) Zbl 07003645 SIAM/ASA J. Uncertain. Quantif. 6, 1532-1554 (2018). MSC: 65C60 42C05 41A10 PDFBibTeX XMLCite \textit{X. Yang} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1532--1554 (2018; Zbl 07003645) Full Text: DOI arXiv
Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. (English) Zbl 1408.35021 SIAM/ASA J. Uncertain. Quantif. 6, 1475-1502 (2018). MSC: 35J15 65C30 65N35 60H15 60H35 PDFBibTeX XMLCite \textit{D. Torlo} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1475--1502 (2018; Zbl 1408.35021) Full Text: DOI arXiv
Hall, Eric Joseph; Katsoulakis, Markos A. Robust information divergences for model-form uncertainty arising from sparse data in random PDE. (English) Zbl 07003639 SIAM/ASA J. Uncertain. Quantif. 6, 1364-1394 (2018). MSC: 65C50 60H35 94A17 PDFBibTeX XMLCite \textit{E. J. Hall} and \textit{M. A. Katsoulakis}, SIAM/ASA J. Uncertain. Quantif. 6, 1364--1394 (2018; Zbl 07003639) Full Text: DOI arXiv
Kamilis, Dimitris; Polydorides, Nick Uncertainty quantification for low-frequency, time-harmonic Maxwell equations with stochastic conductivity models. (English) Zbl 1405.35264 SIAM/ASA J. Uncertain. Quantif. 6, 1295-1334 (2018). MSC: 35R60 35Q61 62M40 65N30 65D30 PDFBibTeX XMLCite \textit{D. Kamilis} and \textit{N. Polydorides}, SIAM/ASA J. Uncertain. Quantif. 6, 1295--1334 (2018; Zbl 1405.35264) Full Text: DOI
Huan, Xun; Safta, Cosmin; Sargsyan, Khachik; Vane, Zachary P.; Lacaze, Guilhem; Oefelein, Joseph C.; Najm, Habib N. Compressive sensing with cross-validation and stop-sampling for sparse polynomial chaos expansions. (English) Zbl 1403.62133 SIAM/ASA J. Uncertain. Quantif. 6, 907-936 (2018). MSC: 62J05 62J07 94A12 PDFBibTeX XMLCite \textit{X. Huan} et al., SIAM/ASA J. Uncertain. Quantif. 6, 907--936 (2018; Zbl 1403.62133) Full Text: DOI arXiv
Rahman, Sharif Mathematical properties of polynomial dimensional decomposition. (English) Zbl 1488.62002 SIAM/ASA J. Uncertain. Quantif. 6, 816-844 (2018). MSC: 62-08 33C45 49K30 60H35 PDFBibTeX XMLCite \textit{S. Rahman}, SIAM/ASA J. Uncertain. Quantif. 6, 816--844 (2018; Zbl 1488.62002) Full Text: DOI arXiv
Kouri, D. P.; Surowiec, T. M. Existence and optimality conditions for risk-averse PDE-constrained optimization. (English) Zbl 1393.49002 SIAM/ASA J. Uncertain. Quantif. 6, 787-815 (2018); corrigendum ibid. 10, 1321-1322 (2022). MSC: 49J20 49J50 49J55 49K20 49K45 90C15 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, SIAM/ASA J. Uncertain. Quantif. 6, 787--815 (2018; Zbl 1393.49002) Full Text: DOI
Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. (English) Zbl 1395.82229 SIAM/ASA J. Uncertain. Quantif. 6, 762-786 (2018). MSC: 82C80 60K35 65C05 65C60 62F15 PDFBibTeX XMLCite \textit{A. Beskos} et al., SIAM/ASA J. Uncertain. Quantif. 6, 762--786 (2018; Zbl 1395.82229) Full Text: DOI arXiv
Gantner, Robert N.; Peters, Michael D. Higher-order quasi-Monte Carlo for Bayesian shape inversion. (English) Zbl 1402.65141 SIAM/ASA J. Uncertain. Quantif. 6, 707-736 (2018). Reviewer: Hang Lau (Montréal) MSC: 65N21 65N38 65D30 65C05 62C10 35R30 92C55 PDFBibTeX XMLCite \textit{R. N. Gantner} and \textit{M. D. Peters}, SIAM/ASA J. Uncertain. Quantif. 6, 707--736 (2018; Zbl 1402.65141) Full Text: DOI
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. Uncertainty quantification in graph-based classification of high dimensional data. (English) Zbl 1394.62083 SIAM/ASA J. Uncertain. Quantif. 6, 568-595 (2018). MSC: 62H30 62F15 68T05 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., SIAM/ASA J. Uncertain. Quantif. 6, 568--595 (2018; Zbl 1394.62083) Full Text: DOI arXiv
Hegde, Arun; Li, Wenyu; Oreluk, James; Packard, Andrew; Frenklach, Michael Consistency analysis for massively inconsistent datasets in bound-to-bound data collaboration. (English) Zbl 1387.62130 SIAM/ASA J. Uncertain. Quantif. 6, 429-456 (2018). MSC: 62P35 68T37 PDFBibTeX XMLCite \textit{A. Hegde} et al., SIAM/ASA J. Uncertain. Quantif. 6, 429--456 (2018; Zbl 1387.62130) Full Text: DOI arXiv
Tipireddy, Ramakrishna; Stinis, Panagiotis; Tartakovsky, Alexandre M. Stochastic basis adaptation and spatial domain decomposition for partial differential equations with random coefficients. (English) Zbl 1390.60247 SIAM/ASA J. Uncertain. Quantif. 6, 273-301 (2018). MSC: 60H15 60H35 PDFBibTeX XMLCite \textit{R. Tipireddy} et al., SIAM/ASA J. Uncertain. Quantif. 6, 273--301 (2018; Zbl 1390.60247) Full Text: DOI arXiv
Barajas-Solano, David A.; Tartakovsky, Alexandre M. Probability and cumulative density function methods for the stochastic advection-reaction equation. (English) Zbl 1390.60225 SIAM/ASA J. Uncertain. Quantif. 6, 180-212 (2018). MSC: 60H15 60H30 60H35 PDFBibTeX XMLCite \textit{D. A. Barajas-Solano} and \textit{A. M. Tartakovsky}, SIAM/ASA J. Uncertain. Quantif. 6, 180--212 (2018; Zbl 1390.60225) Full Text: DOI
Rim, Donsub; Moe, Scott; LeVeque, Randall J. Transport reversal for model reduction of hyperbolic partial differential equations. (English) Zbl 1398.65084 SIAM/ASA J. Uncertain. Quantif. 6, 118-150 (2018). MSC: 65F30 65M08 78M34 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM/ASA J. Uncertain. Quantif. 6, 118--150 (2018; Zbl 1398.65084) Full Text: DOI arXiv
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi Reduced basis methods for uncertainty quantification. (English) Zbl 1400.65010 SIAM/ASA J. Uncertain. Quantif. 5, 813-869 (2017). MSC: 65C30 60H15 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 5, 813--869 (2017; Zbl 1400.65010) Full Text: DOI
Liu, Xiaoyu; Guillas, Serge Dimension reduction for Gaussian process emulation: an application to the influence of bathymetry on tsunami heights. (English) Zbl 1403.62217 SIAM/ASA J. Uncertain. Quantif. 5, 787-812 (2017). MSC: 62P12 62M20 62M30 86A05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{S. Guillas}, SIAM/ASA J. Uncertain. Quantif. 5, 787--812 (2017; Zbl 1403.62217) Full Text: DOI arXiv
Newsum, Craig J.; Powell, Catherine E. Efficient reduced basis methods for saddle point problems with applications in groundwater flow. (English) Zbl 1398.65282 SIAM/ASA J. Uncertain. Quantif. 5, 1248-1278 (2017). MSC: 65N22 65N30 35R60 60H35 35Q35 76M10 76S05 PDFBibTeX XMLCite \textit{C. J. Newsum} and \textit{C. E. Powell}, SIAM/ASA J. Uncertain. Quantif. 5, 1248--1278 (2017; Zbl 1398.65282) Full Text: DOI
Li, Qin; Wang, Li Uniform regularity for linear kinetic equations with random input based on hypocoercivity. (English) Zbl 1398.65257 SIAM/ASA J. Uncertain. Quantif. 5, 1193-1219 (2017). MSC: 65M70 82C40 PDFBibTeX XMLCite \textit{Q. Li} and \textit{L. Wang}, SIAM/ASA J. Uncertain. Quantif. 5, 1193--1219 (2017; Zbl 1398.65257) Full Text: DOI arXiv
Scheichl, R.; Stuart, A. M.; Teckentrup, A. L. Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. (English) Zbl 1516.65118 SIAM/ASA J. Uncertain. Quantif. 5, 493-518 (2017). MSC: 65N21 65N30 65C05 62F15 62M40 65N12 65Y20 35R60 PDFBibTeX XMLCite \textit{R. Scheichl} et al., SIAM/ASA J. Uncertain. Quantif. 5, 493--518 (2017; Zbl 1516.65118) Full Text: DOI arXiv
Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. (English) Zbl 1371.35371 SIAM/ASA J. Uncertain. Quantif. 5, 466-492 (2017). MSC: 35R60 49J20 60H35 65C05 65N30 35A35 PDFBibTeX XMLCite \textit{A. A. Ali} et al., SIAM/ASA J. Uncertain. Quantif. 5, 466--492 (2017; Zbl 1371.35371) Full Text: DOI arXiv
Oliver, Dean S. Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. (English) Zbl 1370.62018 SIAM/ASA J. Uncertain. Quantif. 5, 259-277 (2017). MSC: 62F15 60J22 65C40 PDFBibTeX XMLCite \textit{D. S. Oliver}, SIAM/ASA J. Uncertain. Quantif. 5, 259--277 (2017; Zbl 1370.62018) Full Text: DOI
Wallstrom, Timothy C. On the application of McDiarmid’s inequality to complex systems. (English) Zbl 1378.60051 SIAM/ASA J. Uncertain. Quantif. 5, 240-245 (2017). MSC: 60E15 60F10 65C50 PDFBibTeX XMLCite \textit{T. C. Wallstrom}, SIAM/ASA J. Uncertain. Quantif. 5, 240--245 (2017; Zbl 1378.60051) Full Text: DOI arXiv
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. (English) Zbl 1398.65031 SIAM/ASA J. Uncertain. Quantif. 4, 48-79 (2016). MSC: 65D30 65D32 65N30 PDFBibTeX XMLCite \textit{J. Dick} et al., SIAM/ASA J. Uncertain. Quantif. 4, 48--79 (2016; Zbl 1398.65031) Full Text: DOI arXiv
Montagna, S.; Tokdar, S. T. Computer emulation with nonstationary Gaussian processes. (English) Zbl 1387.62091 SIAM/ASA J. Uncertain. Quantif. 4, 26-47 (2016). MSC: 62K20 62L05 62F15 62P30 PDFBibTeX XMLCite \textit{S. Montagna} and \textit{S. T. Tokdar}, SIAM/ASA J. Uncertain. Quantif. 4, 26--47 (2016; Zbl 1387.62091) Full Text: DOI arXiv
Eigel, Martin; Merdon, Christian Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. (English) Zbl 1398.65297 SIAM/ASA J. Uncertain. Quantif. 4, 1372-1397 (2016). MSC: 65N30 35R60 47B80 60H35 65J10 65N15 PDFBibTeX XMLCite \textit{M. Eigel} and \textit{C. Merdon}, SIAM/ASA J. Uncertain. Quantif. 4, 1372--1397 (2016; Zbl 1398.65297) Full Text: DOI
Eigel, Martin; Merdon, Christian; Neumann, Johannes An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. (English) Zbl 1398.35306 SIAM/ASA J. Uncertain. Quantif. 4, 1219-1245 (2016). MSC: 35R60 35J25 47B80 60H35 65N12 65N30 65N75 PDFBibTeX XMLCite \textit{M. Eigel} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1219--1245 (2016; Zbl 1398.35306) Full Text: DOI
Galindo, D.; Jantsch, P.; Webster, C. G.; Zhang, G. Accelerating stochastic collocation methods for partial differential equations with random input data. (English) Zbl 1352.65499 SIAM/ASA J. Uncertain. Quantif. 4, 1111-1137 (2016). MSC: 65N30 65N35 65N12 65N15 65C20 PDFBibTeX XMLCite \textit{D. Galindo} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1111--1137 (2016; Zbl 1352.65499) Full Text: DOI arXiv
Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. (English) Zbl 1362.35344 SIAM/ASA J. Uncertain. Quantif. 4, 1084-1110 (2016). MSC: 35R60 35L05 35B65 65M70 PDFBibTeX XMLCite \textit{G. Malenova} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1084--1110 (2016; Zbl 1362.35344) Full Text: DOI arXiv
Padonou, Esperan; Roustant, Olivier Polar Gaussian processes and experimental designs in circular domains. (English) Zbl 1354.60039 SIAM/ASA J. Uncertain. Quantif. 4, 1014-1033 (2016). MSC: 60G15 62K20 62K05 65D05 65D10 62P30 PDFBibTeX XMLCite \textit{E. Padonou} and \textit{O. Roustant}, SIAM/ASA J. Uncertain. Quantif. 4, 1014--1033 (2016; Zbl 1354.60039) Full Text: DOI
Berliner, L. Mark; Brynjarsdóttir, Jenný A framework for multi-model ensembling. (English) Zbl 1356.62225 SIAM/ASA J. Uncertain. Quantif. 4, 902-923 (2016). MSC: 62P12 62F15 65C60 62G07 86A32 PDFBibTeX XMLCite \textit{L. M. Berliner} and \textit{J. Brynjarsdóttir}, SIAM/ASA J. Uncertain. Quantif. 4, 902--923 (2016; Zbl 1356.62225) Full Text: DOI
Frenklach, Michael; Packard, Andrew; Garcia-Donato, Gonzalo; Paulo, Rui; Sacks, Jerome Comparison of statistical and deterministic frameworks of uncertainty quantification. (English) Zbl 1356.62037 SIAM/ASA J. Uncertain. Quantif. 4, 875-901 (2016). MSC: 62F15 62P35 65C60 PDFBibTeX XMLCite \textit{M. Frenklach} et al., SIAM/ASA J. Uncertain. Quantif. 4, 875--901 (2016; Zbl 1356.62037) Full Text: DOI
Gorodetsky, Alex; Marzouk, Youssef Mercer kernels and integrated variance experimental design: connections between Gaussian process regression and polynomial approximation. (English) Zbl 1342.62061 SIAM/ASA J. Uncertain. Quantif. 4, 796-828 (2016). MSC: 62G08 65D15 PDFBibTeX XMLCite \textit{A. Gorodetsky} and \textit{Y. Marzouk}, SIAM/ASA J. Uncertain. Quantif. 4, 796--828 (2016; Zbl 1342.62061) Full Text: DOI arXiv
Tuo, Rui; Jeff Wu, C. F. A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. (English) Zbl 1383.62354 SIAM/ASA J. Uncertain. Quantif. 4, 767-795 (2016). MSC: 62P30 62F12 62F15 62P35 PDFBibTeX XMLCite \textit{R. Tuo} and \textit{C. F. Jeff Wu}, SIAM/ASA J. Uncertain. Quantif. 4, 767--795 (2016; Zbl 1383.62354) Full Text: DOI arXiv
Das, Sonjoy; Chakravarty, Sourish Predictive algorithm for detection of microcracks from macroscale observables. (English) Zbl 1383.74095 SIAM/ASA J. Uncertain. Quantif. 4, 660-707 (2016). MSC: 74S60 65N21 65C50 74Q20 90C26 90C90 PDFBibTeX XMLCite \textit{S. Das} and \textit{S. Chakravarty}, SIAM/ASA J. Uncertain. Quantif. 4, 660--707 (2016; Zbl 1383.74095) Full Text: DOI
Ozen, H. Cagan; Bal, Guillaume Dynamical polynomial chaos expansions and long time evolution of differential equations with random forcing. (English) Zbl 1346.60108 SIAM/ASA J. Uncertain. Quantif. 4, 609-635 (2016). MSC: 60H35 60H10 60H25 60J25 34F05 65C30 PDFBibTeX XMLCite \textit{H. C. Ozen} and \textit{G. Bal}, SIAM/ASA J. Uncertain. Quantif. 4, 609--635 (2016; Zbl 1346.60108) Full Text: DOI arXiv
Barajas-Solano, David A.; Tartakovsky, Daniel M. Stochastic collocation methods for nonlinear parabolic equations with random coefficients. (English) Zbl 1343.65005 SIAM/ASA J. Uncertain. Quantif. 4, 475-494 (2016). MSC: 65C30 60H15 60H35 35R60 35K55 35J60 65M70 65N35 65C05 65Y20 PDFBibTeX XMLCite \textit{D. A. Barajas-Solano} and \textit{D. M. Tartakovsky}, SIAM/ASA J. Uncertain. Quantif. 4, 475--494 (2016; Zbl 1343.65005) Full Text: DOI Link
Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel A multilevel Monte Carlo method for computing failure probabilities. (English) Zbl 1343.65004 SIAM/ASA J. Uncertain. Quantif. 4, 312-330 (2016). MSC: 65C05 65C30 60H15 60H35 65N15 PDFBibTeX XMLCite \textit{D. Elfverson} et al., SIAM/ASA J. Uncertain. Quantif. 4, 312--330 (2016; Zbl 1343.65004) Full Text: DOI arXiv Link
Dupuis, Paul; Katsoulakis, Markos A.; Pantazis, Yannis; Plecháč, Petr Path-space information bounds for uncertainty quantification and sensitivity analysis of stochastic dynamics. (English) Zbl 1371.65004 SIAM/ASA J. Uncertain. Quantif. 4, 80-111 (2016). MSC: 65C05 60J10 60J25 62B10 PDFBibTeX XMLCite \textit{P. Dupuis} et al., SIAM/ASA J. Uncertain. Quantif. 4, 80--111 (2016; Zbl 1371.65004) Full Text: DOI arXiv
Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. (English) Zbl 1329.65271 SIAM/ASA J. Uncertain. Quantif. 3, 1109-1135 (2015). MSC: 65N30 15A69 60H15 60H35 65N75 76M10 76S05 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM/ASA J. Uncertain. Quantif. 3, 1109--1135 (2015; Zbl 1329.65271) Full Text: DOI arXiv