Search Results - Stochastic Collocation Methods

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs

Authors: Alina Chertock Arsen S. Iskhakov Safa Janajra et al.

Source: Lecture Notes in Computational Science and Engineering ISBN: 9783031861727

Subject Terms: Numerical Analysis, FOS: Mathematics, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2402.02280

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Authors: Babuška, Ivo Nobile, Fabio Tempone, Raúl

Source: SIAM Review, 2010 Jun 01. 52(2), 317-355.

Access URL: https://www.jstor.org/stable/20780147

WIENER CHAOS VERSUS STOCHASTIC COLLOCATION METHODS FOR LINEAR ADVECTION-DIFFUSION-REACTION EQUATIONS WITH MULTIPLICATIVE WHITE NOISE

Authors: ZHANG, ZHONGQIANG TRETYAKOV, MICHAEL V. ROZOVSKII, BORIS et al.

Source: SIAM Journal on Numerical Analysis, 2015 Jan 01. 53(1), 153-183.

Access URL: http://www.jstor.org/stable/24512246

SPLIT-STEP COLLOCATION METHODS FOR STOCHASTIC VOLTERRA INTEGRAL EQUATIONS

Authors: XIAO, Y. SHI, J.N. YANG, Z.W.

Source: The Journal of Integral Equations and Applications, 2018 Apr 01. 30(1), 197-218.

Access URL: https://www.jstor.org/stable/26502137

A STOCHASTIC COLLOCATION METHOD FOR STOCHASTIC VOLTERRA EQUATIONS OF THE SECOND KIND

Authors: CAO, YANZHAO ZHANG, RAN

Source: The Journal of Integral Equations and Applications, 2015 Apr 01. 27(1), 1-25.

Access URL: https://www.jstor.org/stable/26165131

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Authors: Babuška, Ivo Nobile, Fabio Tempone, Raúl

Source: SIAM Journal on Numerical Analysis, 2007 Jan 01. 45(3), 1005-1034.

Access URL: https://www.jstor.org/stable/40232851

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs

Authors: Chertock, Alina Iskhakov, Arsen S. Janajra, Safa et al.

Index Terms: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/2402.02280

A SPARSE GRID STOCHASTIC COLLOCATION AND FINITE VOLUME ELEMENT METHOD FOR CONSTRAINED OPTIMAL CONTROL PROBLEM GOVERNED BY RANDOM ELLIPTIC EQUATIONS

Authors: Ge, Liang Sun, Tongjun

Source: Journal of Computational Mathematics, 2018 Mar 01. 36(2), 310-330.

Access URL: https://www.jstor.org/stable/45151491

A POSTERIORI ERROR ESTIMATION FOR THE STOCHASTIC COLLOCATION FINITE ELEMENT METHOD

Authors: GUIGNARD, DIANE NOBILE, FABIO

Source: SIAM Journal on Numerical Analysis, 2018 Jan 01. 56(5), 3121-3143.

Access URL: https://www.jstor.org/stable/45048390

A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

Authors: NOBILE, F. TEMPONE, R. WEBSTER, C. G.

Source: SIAM Journal on Numerical Analysis, 2008 Jan 01. 46(5), 2309-2345.

Access URL: https://www.jstor.org/stable/25663065

AN ANISOTROPIC SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

Authors: NOBILE, F. TEMPONE, R. WEBSTER, C. G.

Source: SIAM Journal on Numerical Analysis, 2008 Jan 01. 46(5), 2411-2442.

Access URL: https://www.jstor.org/stable/25663069

ERROR ANALYSIS OF A STOCHASTIC COLLOCATION METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

Authors: ZHANG, GUANNAN GUNZBURGER, MAX

Source: SIAM Journal on Numerical Analysis, 2012 Jan 01. 50(4), 1922-1940.

Access URL: http://dx.doi.org/10.1137/11084306X

Data assimilation for real-time dynamic prediction of wind-induced forces in vehicle platooning

Authors: Perelló i Ribas, Rafel

Thesis Advisors: Huerta, Antonio, Zlotnik, Sergio, Escola Tècnica Superior d'Enginyeria de Camins, Canals i Ports de Barcelona

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Computational Fluid Dynamics, surrogate modelling, platoon, overtake, cross-wind, Reynolds-Averaged Navier-Stokes, OpenFOAM, sparse grids, multifidelity, multi-index stochastic collocation, Àrees temàtiques de la UPC::Enginyeria civil, Àrees temàtiques de la UPC::Aeronàutica i espai, Àrees temàtiques de la UPC::Enginyeria mecànica, 629 - Enginyeria dels vehicles de transport, 531/534 - Mecànica. Vibracions. Acústica

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/696187
https://dx.doi.org/10.5821/dissertation-2117-449390

Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods

Authors: Anh Tran Tim Wildey Hojun Lim

Source: Frontiers in Materials, Vol 9 (2022)

Subject Terms: crystal plasticity finite element, polynomial chaos expansion, Technology, Condensed Matter - Materials Science, uncertainty quantification, constitutive models, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, sparse grid, stochastic collocation

Access URL: http://arxiv.org/abs/2206.03372
https://doaj.org/article/76f13434e5264e7e82a9d6b56710fb57

Adaptive Multi-Level Monte Carlo and Stochastic Collocation Methods for Hyperbolic Partial Differential Equations with Random Data on Networks

Authors: Strauch, Elisa

Index Terms: Ph.D. Thesis, NonPeerReviewed, info:eu-repo/semantics/doctoralThesis

URL: https://tuprints.ulb.tu-darmstadt.de/23310/1/Strauch_phdThesis_published2023.pdf
http://tuprints.ulb.tu-darmstadt.de/23310/
https://doi.org/10.26083/tuprints-00023310
http://tuprints.ulb.tu-darmstadt.de/23310
https://doi.org/10.26083/tuprints-00023310

Multilevel double loop Monte Carlo and stochastic collocation methods with importance sampling for Bayesian optimal experimental design

Authors: Luis Espath Joakim Beck Ben Mansour Dia et al.

Contributors: Luis Espath Joakim Beck Ben Mansour Dia et al.

Source: International Journal for Numerical Methods in Engineering. 121:3482-3503

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1811.11469
http://arxiv.org/abs/1811.11469
http://archive.kaust.edu.sa/handle/10754/630786
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6367
https://repository.kaust.edu.sa/bitstream/10754/630786/1/1811.11469v3.pdf
https://repository.kaust.edu.sa/handle/10754/630786
http://ui.adsabs.harvard.edu/abs/2020IJNME.121.3482B/abstract

Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties

Authors: Giulia Bertaglia Liu Liu Lorenzo Pareschi et al.

Source: Networks and Heterogeneous Media, Vol 17, Iss 3, Pp 401-425 (2022)

Subject Terms: bi-fidelity methods, uncertainty quantification, kinetic transport equations, epidemic models, diffusion limit, asymptotic-preserving schemes, Communication. Mass media, P87-96

File Description: electronic resource

Relation: https://doaj.org/toc/1556-1801

Access URL: https://doaj.org/article/89fafb946ac04e719cac10caf11a979c

A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows

Authors: Mohebujjaman, Muhammad Miranda, Julian Mahbub, Md. Abdullah Al et al.

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 65M12, 65M22, 65M60, 76W05

Access URL: http://arxiv.org/abs/2310.17779

Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

Authors: Zhizhang Wu Zhizhang Wu Zhongyi Huang Zhongyi Huang

Source: Advances in Applied Mathematics and Mechanics. 12:30-56

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://global-sci.org/intro/article_detail/auth/13418.html

Evaluation of Designed Distributions for Stochastic Collocation Methods

Authors: Edwin E. Forster Daniel L. Clark Philip Beran

Source: AIAA SCITECH 2023 Forum.

Subject Terms: 0203 mechanical engineering, 0103 physical sciences, 02 engineering and technology, 01 natural sciences