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

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

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

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

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

Ensemble Grouping strategies for embedded Stochastic Collocation methods applied to anisotropic diffusion problems.

Contributors: Rajamanickam, Sivasankaran

Source: Conference: Proposed for presentation at the ?cole Polytechnique F?d?rale de Lausanne held March 31, 2016 in Lausanne, Switzerland.

File Description: Medium: ED; Size: 90 p.

Access URL: http://www.osti.gov/scitech/servlets/purl/1365180

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

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

Adaptive Single- and Multilevel Stochastic Collocation Methods for Uncertain Gas Transport in Large-Scale Networks

Authors: Lang, Jens Domschke, Pia Strauch, Elisa

Source: SEMA SIMAI Springer Series ISBN: 9783030925390

Subject Terms: Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, 65C20, 65C30, 65N35, 65M75, FOS: Mathematics, FOS: Physical sciences, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Computational Physics (physics.comp-ph), Computer Science - Computational Engineering, Finance, and Science, Physics - Computational Physics, 01 natural sciences

Access URL: http://arxiv.org/abs/2012.03565

Convergence Analysis of Stochastic Collocation Methods for Maxwell Equations with Random Inputs

Authors: Lizheng Cheng

Source: Numerical Mathematics: Theory, Methods and Applications. 12:824-844

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

Stochastic Collocation Methods via Minimisation of the Transformed L1-Penalty

Authors: Ling Guo

Source: East Asian Journal on Applied Mathematics. 8:566-585

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

Authors: Zhiwei Fang Jichun Li

Source: Advances in Applied Mathematics and Mechanics. 10:1305-1326

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://digitalscholarship.unlv.edu/math_fac_articles/105/

Ensemble Grouping Strategies for Embedded Stochastic Collocation Methods Applied to Anisotropic Diffusion Problems

Authors: Sivasankaran Rajamanickam Jonathan Joseph Hu Eric T. Phipps et al.

Source: SIAM/ASA Journal on Uncertainty Quantification. 6:87-117

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://www.osti.gov/biblio/1421620
https://epubs.siam.org/doi/abs/10.1137/16M1066324
https://dblp.uni-trier.de/db/journals/juq/juq6.html#DEliaEHPR18

Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design.

Contributors: Eldred, Michael

Source: Conference: Proposed for presentation at the 11th AIAA Non-Deterministic Approaches Conference held May 4-7, 2009 in Palm Springs, CA.

File Description: Medium: ED; Size: 37 p.

Access URL: http://www.osti.gov/scitech/servlets/purl/1141730

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

Authors: Bertaglia, Giulia Liu, Liu Pareschi, Lorenzo et al.

Index Terms: Mathematics - Numerical Analysis, Quantitative Biology - Populations and Evolution, text

URL: http://arxiv.org/abs/2110.14579

Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures

Authors: Yuhang Chen Ling Guo Akil Narayan et al.

Source: SIAM Journal on Scientific Computing. 39:A333-A359

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

Access URL: http://arxiv.org/abs/1602.00995
https://arxiv.org/pdf/1602.00995
https://epubs.siam.org/doi/abs/10.1137/16M1059680
https://locus.siam.org/doi/abs/10.1137/16M1059680

Stochastic Collocation Methods for Nonlinear Parabolic Equations with Random Coefficients

Authors: David A. Barajas-Solano Daniel M. Tartakovsky

Source: SIAM/ASA Journal on Uncertainty Quantification. 4:475-494

Subject Terms: 4. Education, 0101 mathematics, 01 natural sciences

Access URL: https://locus.siam.org/doi/abs/10.1137/130930108
https://epubs.siam.org/doi/abs/10.1137/130930108
http://dblp.uni-trier.de/db/journals/juq/juq4.html#Barajas-SolanoT16

Accelerating Stochastic Collocation Methods for Partial Differential Equations with Random Input Data

Authors: Guannan Zhang Clayton G. Webster Diego Galindo et al.

Source: SIAM/ASA Journal on Uncertainty Quantification. 4:1111-1137

Subject Terms: 65N30, 65N35, 65N12, 65N15, 65C20, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 16. Peace & justice, 01 natural sciences

Access URL: http://arxiv.org/pdf/1505.00680
http://arxiv.org/abs/1505.00680