Branquinho, Amílcar; Díaz, Juan E. F.; Foulquié-Moreno, Ana; Mañas, Manuel; Álvarez-Fernández, Carlos Jacobi-Piñeiro Markov chains. (English) Zbl 07762422 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 15, 29 p. (2024). MSC: 15B51 60J10 42C05 33C45 33C47 PDF BibTeX XML Cite \textit{A. Branquinho} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 15, 29 p. (2024; Zbl 07762422) Full Text: DOI
Kantarakias, Kyriakos D.; Papadakis, George Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification. (English) Zbl 07771293 J. Comput. Phys. 491, Article ID 112377, 19 p. (2023). MSC: 65Cxx 76Mxx 94Axx PDF BibTeX XML Cite \textit{K. D. Kantarakias} and \textit{G. Papadakis}, J. Comput. Phys. 491, Article ID 112377, 19 p. (2023; Zbl 07771293) Full Text: DOI arXiv
Chandra, S.; Matsagar, V. A.; Marburg, S. Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate. (English) Zbl 07761301 Comput. Methods Appl. Mech. Eng. 416, Article ID 116303, 34 p. (2023). MSC: 74-XX 82-XX PDF BibTeX XML Cite \textit{S. Chandra} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116303, 34 p. (2023; Zbl 07761301) Full Text: DOI
Mohammadi, Farid; Eggenweiler, Elissa; Flemisch, Bernd; Oladyshkin, Sergey; Rybak, Iryna; Schneider, Martin; Weishaupt, Kilian A surrogate-assisted uncertainty-aware Bayesian validation framework and its application to coupling free flow and porous-medium flow. (English) Zbl 1520.86009 Comput. Geosci. 27, No. 4, 663-686 (2023). MSC: 86A32 62F15 65C05 76S05 PDF BibTeX XML Cite \textit{F. Mohammadi} et al., Comput. Geosci. 27, No. 4, 663--686 (2023; Zbl 1520.86009) Full Text: DOI arXiv
Kohlhaas, Rebecca; Kröker, Ilja; Oladyshkin, Sergey; Nowak, Wolfgang Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark. (English) Zbl 1521.86048 Comput. Geosci. 27, No. 3, 369-389 (2023). MSC: 86A32 60G15 62P12 86-10 PDF BibTeX XML Cite \textit{R. Kohlhaas} et al., Comput. Geosci. 27, No. 3, 369--389 (2023; Zbl 1521.86048) Full Text: DOI
He, Yanyan; Hussaini, M. Yousuff Mixed aleatory and epistemic uncertainty propagation using Dempster-Shafer theory. (English) Zbl 07732729 J. Comput. Appl. Math. 429, Article ID 115234, 15 p. (2023). MSC: 68Txx 65Cxx 62Nxx PDF BibTeX XML Cite \textit{Y. He} and \textit{M. Y. Hussaini}, J. Comput. Appl. Math. 429, Article ID 115234, 15 p. (2023; Zbl 07732729) Full Text: DOI
Botti, Michele; Fumagalli, Alessio; Scotti, Anna Uncertainty quantification for mineral precipitation and dissolution in fractured porous media. (English) Zbl 1516.76079 GEM. Int. J. Geomath. 14, Paper No. 21, 29 p. (2023). MSC: 76S05 65M75 PDF BibTeX XML Cite \textit{M. Botti} et al., GEM. Int. J. Geomath. 14, Paper No. 21, 29 p. (2023; Zbl 1516.76079) Full Text: DOI arXiv
Feng, Mengya; Sun, Tongjun Stochastic perturbation method for optimal control problem governed by parabolic PDEs with small uncertainties. (English) Zbl 07699020 Appl. Numer. Math. 185, 483-502 (2023). MSC: 65Nxx 65Cxx 60Hxx PDF BibTeX XML Cite \textit{M. Feng} and \textit{T. Sun}, Appl. Numer. Math. 185, 483--502 (2023; Zbl 07699020) Full Text: DOI
Bürkner, Paul-Christian; Kröker, Ilja; Oladyshkin, Sergey; Nowak, Wolfgang A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms. (English) Zbl 07696975 J. Comput. Phys. 488, Article ID 112210, 25 p. (2023). MSC: 65Cxx 62Jxx 60Hxx PDF BibTeX XML Cite \textit{P.-C. Bürkner} et al., J. Comput. Phys. 488, Article ID 112210, 25 p. (2023; Zbl 07696975) Full Text: DOI arXiv
Ammouche, Yanis; Jérusalem, Antoine The a posteriori finite element method (APFEM), a framework for efficient parametric study and Bayesian inferences. (English) Zbl 07692967 Comput. Methods Appl. Mech. Eng. 412, Article ID 115996, 19 p. (2023). MSC: 74-XX 92-XX PDF BibTeX XML Cite \textit{Y. Ammouche} and \textit{A. Jérusalem}, Comput. Methods Appl. Mech. Eng. 412, Article ID 115996, 19 p. (2023; Zbl 07692967) Full Text: DOI
Denimal, E.; Sinou, J.-J. Efficient parametric study of a stochastic airfoil system based on hybrid surrogate modeling with advanced automatic kriging construction. (English) Zbl 1517.74047 Eur. J. Mech., A, Solids 99, Article ID 104926, 19 p. (2023). MSC: 74H55 74S60 74F10 PDF BibTeX XML Cite \textit{E. Denimal} and \textit{J. J. Sinou}, Eur. J. Mech., A, Solids 99, Article ID 104926, 19 p. (2023; Zbl 1517.74047) Full Text: DOI
Naderi, Mohammad Hossein; Babaee, Hessam Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases. (English) Zbl 07653042 Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{M. H. Naderi} and \textit{H. Babaee}, Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023; Zbl 07653042) Full Text: DOI arXiv
Poëtte, Gaël Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation). (English) Zbl 07640574 J. Comput. Phys. 474, Article ID 111825, 41 p. (2023). MSC: 65Cxx 60Hxx 65Mxx PDF BibTeX XML Cite \textit{G. Poëtte}, J. Comput. Phys. 474, Article ID 111825, 41 p. (2023; Zbl 07640574) Full Text: DOI
Wentz, Jacqueline; Doostan, Alireza GenMod: a generative modeling approach for spectral representation of PDEs with random inputs. (English) Zbl 07620372 J. Comput. Phys. 472, Article ID 111691, 30 p. (2023). MSC: 60Hxx 94Axx 65Cxx PDF BibTeX XML Cite \textit{J. Wentz} and \textit{A. Doostan}, J. Comput. Phys. 472, Article ID 111691, 30 p. (2023; Zbl 07620372) Full Text: DOI arXiv
Meyer, Paul-André; Shafer, Glenn Stochastic processes in the decades after 1950. (English) Zbl 07736175 Mazliak, Laurent (ed.) et al., The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. Trends Hist. Sci., 169-202 (2022). MSC: 60-03 60Gxx 01A60 01A70 PDF BibTeX XML Cite \textit{P.-A. Meyer} and \textit{G. Shafer}, in: The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. 169--202 (2022; Zbl 07736175) Full Text: DOI
Mohammadi, Ramin; Karimi, Mohamad Sadeq; Raisee, Mehrdad; Sharbatdar, Mahkame Probabilistic CFD analysis on the flow field and performance of the FDA centrifugal blood pump. (English) Zbl 1505.76132 Appl. Math. Modelling 109, 555-577 (2022). MSC: 76Z05 92C35 PDF BibTeX XML Cite \textit{R. Mohammadi} et al., Appl. Math. Modelling 109, 555--577 (2022; Zbl 1505.76132) Full Text: DOI
Zalamea, Fernando The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck. (English) Zbl 1508.00025 Friedman, Michael (ed.) et al., Model and mathematics: from the 19th to the 21st century. Cham: Birkhäuser. Trends Hist. Sci., 267-275 (2022). MSC: 00A71 PDF BibTeX XML Cite \textit{F. Zalamea}, in: Model and mathematics: from the 19th to the 21st century. Cham: Birkhäuser. 267--275 (2022; Zbl 1508.00025) Full Text: DOI
Vermiglio, Rossana; Zamolo, Andrea Sensitivity analysis for stability of uncertain delay differential equations using polynomial chaos expansions. (English) Zbl 1504.93292 Valmorbida, Giorgio (ed.) et al., Accounting for constraints in delay systems. Based on the workshop, Gif-sur-Yvette, France; November 22–24, 2017. Cham: Springer. Adv. Delays Dyn. 12, 151-173 (2022). MSC: 93D05 93C23 93E03 PDF BibTeX XML Cite \textit{R. Vermiglio} and \textit{A. Zamolo}, Adv. Delays Dyn. 12, 151--173 (2022; Zbl 1504.93292) Full Text: DOI
Andò, Alessia; Breda, Dimitri; Liessi, Davide; Maset, Stefano; Scarabel, Francesca; Vermiglio, Rossana 15 years or so of pseudospectral collocation methods for stability and bifurcation of delay equations. (English) Zbl 07625077 Valmorbida, Giorgio (ed.) et al., Accounting for constraints in delay systems. Based on the workshop, Gif-sur-Yvette, France; November 22–24, 2017. Cham: Springer. Adv. Delays Dyn. 12, 127-149 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{A. Andò} et al., Adv. Delays Dyn. 12, 127--149 (2022; Zbl 07625077) Full Text: DOI
Bourgey, Florian; Gobet, Emmanuel; Rey, Clément A comparative study of polynomial-type chaos expansions for indicator functions. (English) Zbl 07623617 SIAM/ASA J. Uncertain. Quantif. 10, 1350-1383 (2022). MSC: 33C45 40A30 41A10 60H07 62L20 PDF BibTeX XML Cite \textit{F. Bourgey} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1350--1383 (2022; Zbl 07623617) Full Text: DOI
Akian, J.-L.; Bonnet, L.; Owhadi, H.; Savin, É. Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics. (English) Zbl 07599627 J. Comput. Phys. 470, Article ID 111595, 29 p. (2022). MSC: 94Axx 60Hxx 65Cxx PDF BibTeX XML Cite \textit{J. L. Akian} et al., J. Comput. Phys. 470, Article ID 111595, 29 p. (2022; Zbl 07599627) Full Text: DOI arXiv
Cardone, G.; Fouetio, A.; Lando, S. Talla; Woukeng, J. L. Global dynamics of stochastic tidal equations. (English) Zbl 1498.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113137, 28 p. (2022). MSC: 35B27 35B40 35Q35 35R60 46J10 60H15 PDF BibTeX XML Cite \textit{G. Cardone} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113137, 28 p. (2022; Zbl 1498.35028) Full Text: DOI
Cao, Lixiong; Liu, Jie; Jiang, Chao; Liu, Guangzhao Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis. (English) Zbl 1507.65018 Comput. Methods Appl. Mech. Eng. 399, Article ID 115368, 20 p. (2022). MSC: 65C20 33C45 62P99 PDF BibTeX XML Cite \textit{L. Cao} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115368, 20 p. (2022; Zbl 1507.65018) Full Text: DOI
Poëtte, Gaël Numerical analysis of the Monte-Carlo noise for the resolution of the deterministic and uncertain linear Boltzmann equation (comparison of non-intrusive gPC and MC-gPC). (English) Zbl 07585132 J. Comput. Theor. Transp. 51, No. 1-3, 1-53 (2022). MSC: 82-XX PDF BibTeX XML Cite \textit{G. Poëtte}, J. Comput. Theor. Transp. 51, No. 1--3, 1--53 (2022; Zbl 07585132) Full Text: DOI
Skamagkis, Th.; Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C. CFD-based shape optimization under uncertainties using the adjoint-assisted polynomial chaos expansion and projected derivatives. (English) Zbl 1521.76467 Comput. Fluids 241, Article ID 105458, 16 p. (2022). MSC: 76M12 76Dxx PDF BibTeX XML Cite \textit{Th. Skamagkis} et al., Comput. Fluids 241, Article ID 105458, 16 p. (2022; Zbl 1521.76467) Full Text: DOI
Morales Escalante, José A.; Heitzinger, Clemens Stochastic Galerkin methods for the Boltzmann-Poisson system. (English) Zbl 07561077 J. Comput. Phys. 466, Article ID 111400, 30 p. (2022). MSC: 65Mxx 65Cxx 35Qxx PDF BibTeX XML Cite \textit{J. A. Morales Escalante} and \textit{C. Heitzinger}, J. Comput. Phys. 466, Article ID 111400, 30 p. (2022; Zbl 07561077) Full Text: DOI arXiv
Ammouche, Yanis; Jérusalem, Antoine A modular nonlinear stochastic finite element formulation for uncertainty estimation. (English) Zbl 1507.74443 Comput. Methods Appl. Mech. Eng. 396, Article ID 115044, 20 p. (2022). MSC: 74S05 65N30 74B20 74S60 PDF BibTeX XML Cite \textit{Y. Ammouche} and \textit{A. Jérusalem}, Comput. Methods Appl. Mech. Eng. 396, Article ID 115044, 20 p. (2022; Zbl 1507.74443) Full Text: DOI
Zhong, Xinghui; Shu, Chi-Wang Entropy stable Galerkin methods with suitable quadrature rules for hyperbolic systems with random inputs. (English) Zbl 1496.65191 J. Sci. Comput. 92, No. 1, Paper No. 14, 30 p. (2022). MSC: 65M70 65M60 65D30 35L65 35R60 PDF BibTeX XML Cite \textit{X. Zhong} and \textit{C.-W. Shu}, J. Sci. Comput. 92, No. 1, Paper No. 14, 30 p. (2022; Zbl 1496.65191) Full Text: DOI
Wang, Dongwu; Zheng, Bin; Chen, Long; Lin, Guang; Xu, Jinchao Block triangular preconditioning for stochastic Galerkin method. (English) Zbl 1495.65011 J. Comput. Appl. Math. 412, Article ID 114298, 18 p. (2022). MSC: 65C30 60H15 60H35 35R60 65N22 65N30 PDF BibTeX XML Cite \textit{D. Wang} et al., J. Comput. Appl. Math. 412, Article ID 114298, 18 p. (2022; Zbl 1495.65011) Full Text: DOI
Chen, Peiyi; Guilleminot, Johann Spatially-dependent material uncertainties in anisotropic nonlinear elasticity: stochastic modeling, identification, and propagation. (English) Zbl 1507.74549 Comput. Methods Appl. Mech. Eng. 394, Article ID 114897, 25 p. (2022). MSC: 74S60 74B20 PDF BibTeX XML Cite \textit{P. Chen} and \textit{J. Guilleminot}, Comput. Methods Appl. Mech. Eng. 394, Article ID 114897, 25 p. (2022; Zbl 1507.74549) Full Text: DOI
Fan, Ruzong; Fang, Hong-Bin Stochastic functional linear models and Malliavin calculus. (English) Zbl 1505.62141 Comput. Stat. 37, No. 2, 591-611 (2022). MSC: 62-08 62G08 62J05 62G20 60H07 62R10 PDF BibTeX XML Cite \textit{R. Fan} and \textit{H.-B. Fang}, Comput. Stat. 37, No. 2, 591--611 (2022; Zbl 1505.62141) Full Text: DOI
Poëtte, Gaël; Brun, Emeric Efficient uncertain \(k_{\mathrm{eff}}\) computations with the Monte Carlo resolution of generalised polynomial chaos based reduced models. (English) Zbl 07518099 J. Comput. Phys. 456, Article ID 111007, 26 p. (2022). MSC: 65Cxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{G. Poëtte} and \textit{E. Brun}, J. Comput. Phys. 456, Article ID 111007, 26 p. (2022; Zbl 07518099) Full Text: DOI
Rossat, D.; Baroth, J.; Briffaut, M.; Dufour, F. Bayesian inversion using adaptive polynomial chaos kriging within subset simulation. (English) Zbl 07518077 J. Comput. Phys. 455, Article ID 110986, 25 p. (2022). MSC: 65Cxx 62Fxx 60Hxx PDF BibTeX XML Cite \textit{D. Rossat} et al., J. Comput. Phys. 455, Article ID 110986, 25 p. (2022; Zbl 07518077) Full Text: DOI
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations. (English) Zbl 07517732 J. Comput. Phys. 452, Article ID 110901, 28 p. (2022). MSC: 65Mxx 65Cxx 76Mxx PDF BibTeX XML Cite \textit{D. Dai} et al., J. Comput. Phys. 452, Article ID 110901, 28 p. (2022; Zbl 07517732) Full Text: DOI arXiv
Ge, Liang; Sun, Tongjun An adaptive hp-version stochastic Galerkin method for constrained optimal control problem governed by random reaction diffusion equations. (English) Zbl 1499.65661 Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022). MSC: 65N30 65N15 65N50 65C20 65N75 60H30 49M41 49J55 PDF BibTeX XML Cite \textit{L. Ge} and \textit{T. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022; Zbl 1499.65661) Full Text: DOI
Feng, Mengya; Sun, Tongjun A priori error estimate of perturbation method for optimal control problem governed by elliptic PDEs with small uncertainties. (English) Zbl 1487.49024 Comput. Optim. Appl. 81, No. 3, 889-921 (2022). MSC: 49K20 49K45 35R60 65M60 PDF BibTeX XML Cite \textit{M. Feng} and \textit{T. Sun}, Comput. Optim. Appl. 81, No. 3, 889--921 (2022; Zbl 1487.49024) Full Text: DOI
Snoun, Cherif; Bergeot, Baptiste; Berger, Sébastien Robust optimization of nonlinear energy sinks used for mitigation of friction-induced limit cycle oscillations. (English) Zbl 07477412 Eur. J. Mech., A, Solids 93, Article ID 104529, 13 p. (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{C. Snoun} et al., Eur. J. Mech., A, Solids 93, Article ID 104529, 13 p. (2022; Zbl 07477412) Full Text: DOI
Sinou, J.-J.; Denimal, E. Reliable crack detection in a rotor system with uncertainties via advanced simulation models based on kriging and polynomial chaos expansion. (English) Zbl 1508.74027 Eur. J. Mech., A, Solids 92, Article ID 104451, 18 p. (2022). MSC: 74H45 74H75 74R10 74E35 74S60 74H15 PDF BibTeX XML Cite \textit{J. J. Sinou} and \textit{E. Denimal}, Eur. J. Mech., A, Solids 92, Article ID 104451, 18 p. (2022; Zbl 1508.74027) Full Text: DOI
Çiloğlu, Pelin; Yücel, Hamdullah Stochastic discontinuous Galerkin methods with low-rank solvers for convection diffusion equations. (English) Zbl 1478.65118 Appl. Numer. Math. 172, 157-185 (2022). MSC: 65N30 65N75 35K57 60H35 PDF BibTeX XML Cite \textit{P. Çiloğlu} and \textit{H. Yücel}, Appl. Numer. Math. 172, 157--185 (2022; Zbl 1478.65118) Full Text: DOI arXiv
Kaur, Navjot; Goyal, Kavita An adaptive wavelet optimized finite difference B-spline polynomial chaos method for random partial differential equations. (English) Zbl 1510.65280 Appl. Math. Comput. 415, Article ID 126738, 19 p. (2022). MSC: 65M99 60H35 65C30 65D07 65M06 65T60 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{K. Goyal}, Appl. Math. Comput. 415, Article ID 126738, 19 p. (2022; Zbl 1510.65280) Full Text: DOI
Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 1498.65143 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M08 65M60 65K10 65Y05 49M41 35B05 35L60 35L65 35Q31 35Q62 37L65 76B10 35R60 PDF BibTeX XML Cite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 1498.65143) Full Text: DOI arXiv
Obersteiner, Michael; Bungartz, Hans-Joachim A spatially adaptive sparse grid combination technique for numerical quadrature. (English) Zbl 1497.65060 Bungartz, Hans-Joachim (ed.) et al., Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 144, 161-185 (2021). MSC: 65D32 65D30 65D40 PDF BibTeX XML Cite \textit{M. Obersteiner} and \textit{H.-J. Bungartz}, Lect. Notes Comput. Sci. Eng. 144, 161--185 (2021; Zbl 1497.65060) Full Text: DOI
Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David Propagation of uncertainties in density-driven flow. (English) Zbl 1497.76097 Bungartz, Hans-Joachim (ed.) et al., Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 144, 101-126 (2021). MSC: 76S05 65M55 PDF BibTeX XML Cite \textit{A. Litvinenko} et al., Lect. Notes Comput. Sci. Eng. 144, 101--126 (2021; Zbl 1497.76097) Full Text: DOI arXiv
Holzmüller, David; Pflüger, Dirk Fast sparse grid operations using the unidirectional principle: a generalized and unified framework. (English) Zbl 1498.65059 Bungartz, Hans-Joachim (ed.) et al., Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 144, 69-100 (2021). MSC: 65F50 65D40 65Y20 PDF BibTeX XML Cite \textit{D. Holzmüller} and \textit{D. Pflüger}, Lect. Notes Comput. Sci. Eng. 144, 69--100 (2021; Zbl 1498.65059) Full Text: DOI
Mingqing, Chen; Xiaoping, Xie Weak Galerkin finite element methods for stochastic linear plane elasticity equations. (Chinese. English summary) Zbl 1513.65468 Math. Numer. Sin. 43, No. 3, 279-300 (2021). MSC: 65N30 65N12 60H15 65N15 74B10 35Q74 35R60 PDF BibTeX XML Cite \textit{C. Mingqing} and \textit{X. Xiaoping}, Math. Numer. Sin. 43, No. 3, 279--300 (2021; Zbl 1513.65468) Full Text: DOI
Ba, Yuming; Jiang, Lijian A two-stage variable-separation Kalman filter for data assimilation. (English) Zbl 07508537 J. Comput. Phys. 434, Article ID 110244, 24 p. (2021). MSC: 65Cxx 62Fxx 60Hxx PDF BibTeX XML Cite \textit{Y. Ba} and \textit{L. Jiang}, J. Comput. Phys. 434, Article ID 110244, 24 p. (2021; Zbl 07508537) Full Text: DOI
Esquivel, Hugo; Prakash, Arun; Lin, Guang Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems. (English) Zbl 07506521 J. Comput. Phys. 430, Article ID 110044, 37 p. (2021). MSC: 65Cxx 60Hxx 65Nxx PDF BibTeX XML Cite \textit{H. Esquivel} et al., J. Comput. Phys. 430, Article ID 110044, 37 p. (2021; Zbl 07506521) Full Text: DOI arXiv
Khatoon, Sufia; Phirani, Jyoti; Singh Bahga, Supreet Accelerated Bayesian inference-based history matching of petroleum reservoirs using polynomial chaos expansions. (English) Zbl 07484749 Inverse Probl. Sci. Eng. 29, No. 13, 3086-3116 (2021). MSC: 62Fxx 65Cxx 60Jxx PDF BibTeX XML Cite \textit{S. Khatoon} et al., Inverse Probl. Sci. Eng. 29, No. 13, 3086--3116 (2021; Zbl 07484749) Full Text: DOI
Scheurer, Stefania; Schäfer Rodrigues Silva, Aline; Mohammadi, Farid; Hommel, Johannes; Oladyshkin, Sergey; Flemisch, Bernd; Nowak, Wolfgang Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation. (English) Zbl 1477.86031 Comput. Geosci. 25, No. 6, 1899-1917 (2021). MSC: 86A32 PDF BibTeX XML Cite \textit{S. Scheurer} et al., Comput. Geosci. 25, No. 6, 1899--1917 (2021; Zbl 1477.86031) Full Text: DOI arXiv
Chen, Ning; Chen, Jiaojiao; Yin, Shengwen Moment-based hybrid polynomial chaos method for interval and random uncertain analysis of periodical composite structural-acoustic system with multi-scale parameters. (English) Zbl 07446887 Int. J. Comput. Methods 18, No. 4, Article ID 2050041, 25 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{N. Chen} et al., Int. J. Comput. Methods 18, No. 4, Article ID 2050041, 25 p. (2021; Zbl 07446887) Full Text: DOI
Denimal, E.; Sinou, J.-J. Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties. (English) Zbl 1487.74057 J. Eng. Math. 130, Paper No. 7, 19 p. (2021). MSC: 74H55 74H45 74K10 74H15 74S60 PDF BibTeX XML Cite \textit{E. Denimal} and \textit{J. J. Sinou}, J. Eng. Math. 130, Paper No. 7, 19 p. (2021; Zbl 1487.74057) Full Text: DOI
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing Solving parametric PDE problems with artificial neural networks. (English) Zbl 1501.65154 Eur. J. Appl. Math. 32, No. 3, 421-435 (2021). MSC: 65N99 68T07 35R60 PDF BibTeX XML Cite \textit{Y. Khoo} et al., Eur. J. Appl. Math. 32, No. 3, 421--435 (2021; Zbl 1501.65154) Full Text: DOI arXiv
Kazashi, Yoshihito; Nobile, Fabio; Vidličková, Eva Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. (English) Zbl 07437243 Numer. Math. 149, No. 4, 973-1024 (2021). MSC: 65-XX 35R60 35K15 65M12 65L04 65F30 PDF BibTeX XML Cite \textit{Y. Kazashi} et al., Numer. Math. 149, No. 4, 973--1024 (2021; Zbl 07437243) Full Text: DOI arXiv
Kielas-Jensen, Calvin; Cichella, Venanzio; Casbeer, David; Manyam, Satyanarayana Gupta; Weintraub, Isaac Persistent monitoring by multiple unmanned aerial vehicles using Bernstein polynomials. (English) Zbl 1481.49052 J. Optim. Theory Appl. 191, No. 2-3, 899-916 (2021). MSC: 49S05 90C30 26C05 49J10 PDF BibTeX XML Cite \textit{C. Kielas-Jensen} et al., J. Optim. Theory Appl. 191, No. 2--3, 899--916 (2021; Zbl 1481.49052) Full Text: DOI
Ameur, Lounes; Bachioua, Lahcene Sensitivity analysis of queueing models based on polynomial chaos approach. (English) Zbl 1475.90017 Arab. J. Math. 10, No. 3, 527-542 (2021). MSC: 90B22 60J22 60K20 60K25 65C05 05D40 PDF BibTeX XML Cite \textit{L. Ameur} and \textit{L. Bachioua}, Arab. J. Math. 10, No. 3, 527--542 (2021; Zbl 1475.90017) Full Text: DOI
Novák, Lukáš; Vořechovský, Miroslav; Sadílek, Václav; Shields, Michael D. Variance-based adaptive sequential sampling for polynomial chaos expansion. (English) Zbl 1507.65015 Comput. Methods Appl. Mech. Eng. 386, Article ID 114105, 25 p. (2021). MSC: 65C05 60G07 62J05 62K05 62L05 PDF BibTeX XML Cite \textit{L. Novák} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114105, 25 p. (2021; Zbl 1507.65015) Full Text: DOI
Dias, Fabio S.; Peters, Gareth W. Option pricing with polynomial chaos expansion stochastic bridge interpolators and signed path dependence. (English) Zbl 1510.91163 Appl. Math. Comput. 411, Article ID 126484, 18 p. (2021). MSC: 91G20 60G12 62-08 62M10 91G60 PDF BibTeX XML Cite \textit{F. S. Dias} and \textit{G. W. Peters}, Appl. Math. Comput. 411, Article ID 126484, 18 p. (2021; Zbl 1510.91163) Full Text: DOI
Dürrwächter, Jakob; Meyer, Fabian; Kuhn, Thomas; Beck, Andrea; Munz, Claus-Dieter; Rohde, Christian A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. (English) Zbl 1521.76329 Comput. Fluids 228, Article ID 105039, 15 p. (2021). MSC: 76M10 65M60 60H35 76Nxx PDF BibTeX XML Cite \textit{J. Dürrwächter} et al., Comput. Fluids 228, Article ID 105039, 15 p. (2021; Zbl 1521.76329) Full Text: DOI
Bonnaire, P.; Pettersson, P.; Silva, C. F. Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier-Stokes equations. (English) Zbl 1521.76632 Comput. Fluids 223, Article ID 104952, 15 p. (2021). MSC: 76M28 65M75 35Q30 60H35 76D05 PDF BibTeX XML Cite \textit{P. Bonnaire} et al., Comput. Fluids 223, Article ID 104952, 15 p. (2021; Zbl 1521.76632) Full Text: DOI
Turnquist, Brian; Owkes, Mark A fast, decomposed pressure correction method for an intrusive stochastic multiphase flow solver. (English) Zbl 1521.76096 Comput. Fluids 221, Article ID 104930, 15 p. (2021). MSC: 76D05 35Q30 76M35 76Txx PDF BibTeX XML Cite \textit{B. Turnquist} and \textit{M. Owkes}, Comput. Fluids 221, Article ID 104930, 15 p. (2021; Zbl 1521.76096) Full Text: DOI
Karimi, Mohamad Sadeq; Raisee, Mehrdad; Farhat, Mohamed; Hendrick, Patrick; Nourbakhsh, Ahmad On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties. (English) Zbl 1521.76107 Comput. Fluids 220, Article ID 104881, 14 p. (2021). MSC: 76D17 76M35 PDF BibTeX XML Cite \textit{M. S. Karimi} et al., Comput. Fluids 220, Article ID 104881, 14 p. (2021; Zbl 1521.76107) Full Text: DOI
Lu, Junxiang; Su, Jin A domain decomposition method for the Navier-Stokes equations with stochastic input. (English) Zbl 1476.60110 Comput. Appl. Math. 40, No. 5, Paper No. 160, 13 p. (2021). MSC: 60H35 60H15 PDF BibTeX XML Cite \textit{J. Lu} and \textit{J. Su}, Comput. Appl. Math. 40, No. 5, Paper No. 160, 13 p. (2021; Zbl 1476.60110) Full Text: DOI
Reis, João F.; Le Maître, Olivier P.; Congedo, Pietro M.; Mycek, Paul Stochastic preconditioning of domain decomposition methods for elliptic equations with random coefficients. (English) Zbl 1506.65242 Comput. Methods Appl. Mech. Eng. 381, Article ID 113845, 29 p. (2021). MSC: 65N55 65N75 PDF BibTeX XML Cite \textit{J. F. Reis} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113845, 29 p. (2021; Zbl 1506.65242) Full Text: DOI Link
Kaur, Navjot; Goyal, Kavita Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. (English) Zbl 1471.92320 Regul. Chaotic Dyn. 26, No. 1, 22-38 (2021). MSC: 92D30 34F05 60H10 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{K. Goyal}, Regul. Chaotic Dyn. 26, No. 1, 22--38 (2021; Zbl 1471.92320) Full Text: DOI
Dsouza, Shaima M.; Hirshikesh; Mathew, Tittu V.; Singh, Indra Vir; Natarajan, Sundararajan A non-intrusive stochastic phase field method for crack propagation in functionally graded materials. (English) Zbl 1486.74121 Acta Mech. 232, No. 7, 2555-2574 (2021). MSC: 74R10 74E35 74S60 74S05 PDF BibTeX XML Cite \textit{S. M. Dsouza} et al., Acta Mech. 232, No. 7, 2555--2574 (2021; Zbl 1486.74121) Full Text: DOI
Denimal, E.; Sinou, J.-J. Advanced kriging-based surrogate modelling and sensitivity analysis for rotordynamics with uncertainties. (English) Zbl 1491.74035 Eur. J. Mech., A, Solids 90, Article ID 104331, 20 p. (2021). MSC: 74H45 74H50 74S05 PDF BibTeX XML Cite \textit{E. Denimal} and \textit{J. J. Sinou}, Eur. J. Mech., A, Solids 90, Article ID 104331, 20 p. (2021; Zbl 1491.74035) Full Text: DOI
Liu, Zexin; Narayan, Akil On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041 J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021). MSC: 65D20 33D45 42C05 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{A. Narayan}, J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021; Zbl 1481.65041) Full Text: DOI arXiv Link
Esquivel, Hugo; Prakash, Arun; Lin, Guang Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems. (English) Zbl 1472.65012 J. Comput. Appl. Math. 398, Article ID 113674, 24 p. (2021). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{H. Esquivel} et al., J. Comput. Appl. Math. 398, Article ID 113674, 24 p. (2021; Zbl 1472.65012) Full Text: DOI arXiv
Bouzianis, George; Hughston, Lane P.; Jaimungal, Sebastian; Sánchez-Betancourt, Leandro Lévy-Ito models in finance. (English) Zbl 1480.91286 Probab. Surv. 18, 132-178 (2021). MSC: 91G20 60H30 60G51 PDF BibTeX XML Cite \textit{G. Bouzianis} et al., Probab. Surv. 18, 132--178 (2021; Zbl 1480.91286) Full Text: DOI arXiv
Pejman, Reza; Keshavarzzadeh, Vahid; Najafi, Ahmad R. Hybrid topology/shape optimization under uncertainty for actively-cooled nature-inspired microvascular composites. (English) Zbl 1506.74293 Comput. Methods Appl. Mech. Eng. 375, Article ID 113624, 27 p. (2021). MSC: 74P15 PDF BibTeX XML Cite \textit{R. Pejman} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113624, 27 p. (2021; Zbl 1506.74293) Full Text: DOI
Khalil, M.; Teichert, G. H.; Alleman, C.; Heckman, N. M.; Jones, R. E.; Garikipati, K.; Boyce, B. L. Modeling strength and failure variability due to porosity in additively manufactured metals. (English) Zbl 1506.74380 Comput. Methods Appl. Mech. Eng. 373, Article ID 113471, 29 p. (2021). MSC: 74R99 74F10 PDF BibTeX XML Cite \textit{M. Khalil} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113471, 29 p. (2021; Zbl 1506.74380) Full Text: DOI arXiv
Lin, Y.-T.; Shih, Y.-T.; Chien, C.-S.; Sheng, Q. A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. (English) Zbl 1488.91160 Appl. Math. Comput. 393, Article ID 125764, 14 p. (2021). MSC: 91G60 65C99 91G20 41A10 PDF BibTeX XML Cite \textit{Y. T. Lin} et al., Appl. Math. Comput. 393, Article ID 125764, 14 p. (2021; Zbl 1488.91160) Full Text: DOI
Frison, Lilli; Kirches, Christian Convergence analysis and adaptive order selection for the polynomial chaos approach to direct optimal control under uncertainties. (English) Zbl 1458.49022 SIAM J. Control Optim. 59, No. 1, 509-533 (2021). MSC: 49K45 49J15 65K10 PDF BibTeX XML Cite \textit{L. Frison} and \textit{C. Kirches}, SIAM J. Control Optim. 59, No. 1, 509--533 (2021; Zbl 1458.49022) Full Text: DOI
Sun, Xiang; Pan, Xiaomin; Choi, Jung-Il Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion. (English) Zbl 1457.76119 J. Comput. Appl. Math. 390, Article ID 113372, 23 p. (2021). MSC: 76M35 76D05 76R50 80A19 PDF BibTeX XML Cite \textit{X. Sun} et al., J. Comput. Appl. Math. 390, Article ID 113372, 23 p. (2021; Zbl 1457.76119) Full Text: DOI arXiv
Wang, Liqun; Chen, Zengtao; Yang, Guolai A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty. (English) Zbl 1517.37044 Nonlinear Dyn. 101, No. 4, 2489-2508 (2020). MSC: 37D45 34C28 70K55 PDF BibTeX XML Cite \textit{L. Wang} et al., Nonlinear Dyn. 101, No. 4, 2489--2508 (2020; Zbl 1517.37044) Full Text: DOI
Cheng, Lizheng; Wang, Bo; Xie, Ziqing A stochastic Galerkin method for Maxwell equations with uncertainty. (English) Zbl 1499.35575 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1091-1104 (2020). MSC: 35Q61 65C30 65M70 PDF BibTeX XML Cite \textit{L. Cheng} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 4, 1091--1104 (2020; Zbl 1499.35575) Full Text: DOI
Poëtte, Gaël Spectral convergence of the generalized polynomial chaos reduced model obtained from the uncertain linear Boltzmann equation. (English) Zbl 1510.65273 Math. Comput. Simul. 177, 24-45 (2020). MSC: 65M75 35Q20 60H35 65C05 PDF BibTeX XML Cite \textit{G. Poëtte}, Math. Comput. Simul. 177, 24--45 (2020; Zbl 1510.65273) Full Text: DOI HAL
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin Filtered stochastic Galerkin methods for hyperbolic equations. (English) Zbl 1453.62579 J. Comput. Phys. 403, Article ID 109073, 19 p. (2020). MSC: 65M60 65C30 65K10 PDF BibTeX XML Cite \textit{J. Kusch} et al., J. Comput. Phys. 403, Article ID 109073, 19 p. (2020; Zbl 1453.62579) Full Text: DOI arXiv
Chleboun, Jan A new membership function approach to uncertain functions. (English) Zbl 1452.03111 Fuzzy Sets Syst. 387, 68-80 (2020). MSC: 03E72 PDF BibTeX XML Cite \textit{J. Chleboun}, Fuzzy Sets Syst. 387, 68--80 (2020; Zbl 1452.03111) Full Text: DOI
Amour, L.; Jager, L.; Nourrigat, J. Compositions of states and observables in Fock spaces. (English) Zbl 1450.35308 Rev. Math. Phys. 32, No. 5, Article ID 2050012, 29 p. (2020). MSC: 35S05 35Q40 47G30 81Q20 47L80 26E15 28C20 PDF BibTeX XML Cite \textit{L. Amour} et al., Rev. Math. Phys. 32, No. 5, Article ID 2050012, 29 p. (2020; Zbl 1450.35308) Full Text: DOI arXiv
Nandi, Souransu; Singh, Tarunraj Joint chance constrained input shaping. (English) Zbl 1448.93350 J. Franklin Inst. 357, No. 14, 10027-10053 (2020). MSC: 93E20 93B35 93C05 PDF BibTeX XML Cite \textit{S. Nandi} and \textit{T. Singh}, J. Franklin Inst. 357, No. 14, 10027--10053 (2020; Zbl 1448.93350) Full Text: DOI
Étoré, Pierre; Prieur, Clémentine; Pham, Dang Khoi; Li, Long Global sensitivity analysis for models described by stochastic differential equations. (English) Zbl 1484.65011 Methodol. Comput. Appl. Probab. 22, No. 2, 803-831 (2020). MSC: 65C30 49Q12 65L60 PDF BibTeX XML Cite \textit{P. Étoré} et al., Methodol. Comput. Appl. Probab. 22, No. 2, 803--831 (2020; Zbl 1484.65011) Full Text: DOI arXiv
Zhang, Liwei; Namhata, Argha; Dilmore, Robert; Wang, Bin; Wang, Yan; Gan, Manguang; Li, Xiaochun Application of arbitrary polynomial chaos (aPC) expansion for global sensitivity analysis of mineral dissolution and precipitation modeling under geologic carbon storage conditions. (English) Zbl 1439.86036 Comput. Geosci. 24, No. 3, 1333-1346 (2020). MSC: 86A32 86-10 76S05 62-08 86A05 PDF BibTeX XML Cite \textit{L. Zhang} et al., Comput. Geosci. 24, No. 3, 1333--1346 (2020; Zbl 1439.86036) Full Text: DOI
Tsilifis, Panagiotis; Papaioannou, Iason; Straub, Daniel; Nobile, Fabio Sparse polynomial chaos expansions using variational relevance vector machines. (English) Zbl 1437.62114 J. Comput. Phys. 416, Article ID 109498, 19 p. (2020). MSC: 62F15 74K20 PDF BibTeX XML Cite \textit{P. Tsilifis} et al., J. Comput. Phys. 416, Article ID 109498, 19 p. (2020; Zbl 1437.62114) Full Text: DOI arXiv
Mahjudin, Mahyunirsyah; Lardeur, Pascal; Druesne, Frédéric; Katili, Irwan Extension of the certain generalized stresses method for the stochastic analysis of homogeneous and laminated shells. (English) Zbl 1442.74005 Comput. Methods Appl. Mech. Eng. 365, Article ID 112945, 20 p. (2020). MSC: 74A10 74K25 74S05 PDF BibTeX XML Cite \textit{M. Mahjudin} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112945, 20 p. (2020; Zbl 1442.74005) Full Text: DOI
Lee, Dongjin; Rahman, Sharif Practical uncertainty quantification analysis involving statistically dependent random variables. (English) Zbl 1481.60077 Appl. Math. Modelling 84, 324-356 (2020). MSC: 60G07 62N05 90B25 PDF BibTeX XML Cite \textit{D. Lee} and \textit{S. Rahman}, Appl. Math. Modelling 84, 324--356 (2020; Zbl 1481.60077) Full Text: DOI
Keys, Dustin; Wehr, Jan Poisson stochastic master equation unravelings and the measurement problem: a quantum stochastic calculus perspective. (English) Zbl 1439.81066 J. Math. Phys. 61, No. 3, 032101, 18 p. (2020); erratum ibid. 63, No. 10, Article ID 109901, 2 p. (2022). MSC: 81S22 30H20 81S25 81P15 60H15 PDF BibTeX XML Cite \textit{D. Keys} and \textit{J. Wehr}, J. Math. Phys. 61, No. 3, 032101, 18 p. (2020; Zbl 1439.81066) Full Text: DOI arXiv
Jahanbin, Ramin; Rahman, Sharif Stochastic isogeometric analysis in linear elasticity. (English) Zbl 1442.74253 Comput. Methods Appl. Mech. Eng. 364, Article ID 112928, 38 p. (2020). MSC: 74S70 74S60 65N30 65D07 65N75 74B05 74S22 PDF BibTeX XML Cite \textit{R. Jahanbin} and \textit{S. Rahman}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112928, 38 p. (2020; Zbl 1442.74253) Full Text: DOI
Botti, Michele; Di Pietro, Daniele A.; Le Maître, Olivier; Sochala, Pierre Numerical approximation of poroelasticity with random coefficients using polynomial chaos and hybrid high-order methods. (English) Zbl 1442.74063 Comput. Methods Appl. Mech. Eng. 361, Article ID 112736, 25 p. (2020). MSC: 74F10 74S25 74S60 PDF BibTeX XML Cite \textit{M. Botti} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112736, 25 p. (2020; Zbl 1442.74063) Full Text: DOI arXiv
Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. (English) Zbl 1434.76016 GEM. Int. J. Geomath. 11, No. 1, Paper No. 10, 29 p. (2020). MSC: 76-10 76S05 35Q35 65M22 65M55 PDF BibTeX XML Cite \textit{A. Litvinenko} et al., GEM. Int. J. Geomath. 11, Paper No. 10, 29 p. (2020; Zbl 1434.76016) Full Text: DOI arXiv
Bensoussan, Alain; Djehiche, Boualem; Tembine, Hamidou; Yam, Sheung Chi Phillip Mean-field-type games with jump and regime switching. (English) Zbl 1437.91050 Dyn. Games Appl. 10, No. 1, 19-57 (2020). MSC: 91A16 91B06 90C39 PDF BibTeX XML Cite \textit{A. Bensoussan} et al., Dyn. Games Appl. 10, No. 1, 19--57 (2020; Zbl 1437.91050) Full Text: DOI
Thapa, Mishal; Mulani, Sameer B.; Walters, Robert W. Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling. (English) Zbl 1441.60006 Comput. Methods Appl. Mech. Eng. 360, Article ID 112759, 31 p. (2020). MSC: 60-08 60H35 65C30 PDF BibTeX XML Cite \textit{M. Thapa} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112759, 31 p. (2020; Zbl 1441.60006) Full Text: DOI
Guzzetti, S.; Mansilla Alvarez, L. A.; Blanco, P. J.; Carlberg, K. T.; Veneziani, A. Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling. (English) Zbl 1441.76147 Comput. Methods Appl. Mech. Eng. 358, Article ID 112626, 20 p. (2020). MSC: 76Z05 65M55 76M10 65M60 65M70 PDF BibTeX XML Cite \textit{S. Guzzetti} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112626, 20 p. (2020; Zbl 1441.76147) Full Text: DOI
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 PDF BibTeX XML Cite \textit{M. Breden} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 577--618 (2020; Zbl 1441.37057) Full Text: DOI arXiv
Choi, Hee-Sun; Kim, Jin-Gyun; Doostan, Alireza; Park, K. C. Acceleration of uncertainty propagation through Lagrange multipliers in partitioned stochastic method. (English) Zbl 1439.65008 Comput. Methods Appl. Mech. Eng. 362, Article ID 112837, 27 p. (2020). MSC: 65C30 PDF BibTeX XML Cite \textit{H.-S. Choi} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112837, 27 p. (2020; Zbl 1439.65008) Full Text: DOI
Kaur, Navjot; Goyal, Kavita Uncertainty propagation using Wiener-linear B-spline wavelet expansion. (English) Zbl 07185197 Comput. Math. Appl. 79, No. 9, 2598-2623 (2020). MSC: 65T60 65D07 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{K. Goyal}, Comput. Math. Appl. 79, No. 9, 2598--2623 (2020; Zbl 07185197) Full Text: DOI
Snoun, Cherif; Bergeot, Baptiste; Berger, Sébastien Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach. (English) Zbl 1483.74045 Eur. J. Mech., A, Solids 80, Article ID 103917, 11 p. (2020). MSC: 74H45 74H65 74M10 PDF BibTeX XML Cite \textit{C. Snoun} et al., Eur. J. Mech., A, Solids 80, Article ID 103917, 11 p. (2020; Zbl 1483.74045) Full Text: DOI HAL
Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Schlachter, Louisa; Schneider, Florian A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations. (English) Zbl 1450.65118 J. Comput. Appl. Math. 370, Article ID 112602, 22 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 35L60 35Q31 76N06 35Q62 37L65 65C30 65M70 PDF BibTeX XML Cite \textit{J. Dürrwächter} et al., J. Comput. Appl. Math. 370, Article ID 112602, 22 p. (2020; Zbl 1450.65118) Full Text: DOI arXiv
Chen, Yong; Liu, Yong Complex Wiener-Itô chaos decomposition revisited. (English) Zbl 1499.60171 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 3, 797-818 (2019). MSC: 60H07 60F25 62M09 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Y. Liu}, Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 3, 797--818 (2019; Zbl 1499.60171) Full Text: DOI arXiv
Turnquist, Brian; Owkes, Mark multiUQ: an intrusive uncertainty quantification tool for gas-liquid multiphase flows. (English) Zbl 1453.76181 J. Comput. Phys. 399, Article ID 108951, 30 p. (2019). MSC: 76M35 76T10 60H15 35R60 76D05 76M12 PDF BibTeX XML Cite \textit{B. Turnquist} and \textit{M. Owkes}, J. Comput. Phys. 399, Article ID 108951, 30 p. (2019; Zbl 1453.76181) Full Text: DOI