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Keyword

stochastic collocation

Description: This is a numerical method for uncertainty quantification that evaluates a model at selected points in random input space to approximate its stochastic behavior.
OpenAlex ID: keywords/stochastic-collocation
High-Order Collocation Methods for Differential Equations with Random Inputs
2005 · Dongbin Xiu, Jan S. Hesthaven · SIAM Journal on Scientific Computing · 1,522
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
2007 · Ivo Babuška, Fabio Nobile, et al. · SIAM Journal on Numerical Analysis · 1,396
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2008 · F. Nobile, R. Tempone, et al. · SIAM Journal on Numerical Analysis · 494
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
2010 · Ivo Babuška, Fabio Nobile, et al. · SIAM Review · 400
Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design
2009 · Michael Eldred · AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (SDM) · 371
Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification
2009 · Michael Eldred, John Burkardt · AIAA Aerospace Sciences Meeting · 348
Efficient Collocational Approach for Parametric Uncertainty Analysis
2007 · D. Xiu · Communications in Computational Physics · 309
A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems
2009 · Youssef Marzouk, Dongbin Xiu · Communications in Computational Physics · 285
Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach
2008 · Géraud Blatman, Bruno Sudret · Comptes Rendus Mécanique · 270
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs
2011 · Christoph Schwab, Claude Jeffrey Gittelson · Acta Numerica · 260
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Stochastic finite element methods for partial differential equations with random input data
2014 · Max D. Gunzburger, Clayton G. Webster, et al. · Acta Numerica · 218
Sparse pseudospectral approximation method
2012 · Paul G. Constantine, Michael S. Eldred, et al. · Computer Methods in Applied Mechanics and Engineering · 195
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Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects
2006 · Adrian Sandu, Corina Sandu, et al. · Multibody System Dynamics · 186
Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos
2013 · Zheng Zhang, Tarek A. El-Moselhy, et al. · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · 182
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Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
2010 · Joakim Bäck, Fabio Nobile, et al. · Lecture notes in computational science and engineering · 176
Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties
2007 · G.J.A. Loeven, J.A.S. Witteveen, et al. · AIAA Aerospace Sciences Meeting and Exhibit · 168
Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation
2012 · Leo Wai-Tsun Ng, Michael Eldred · 162
Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients
2012 · Julia Charrier · SIAM Journal on Numerical Analysis · 154
A Stochastic Collocation Algorithm for Uncertainty Analysis
2003 · Lionel Mathelin, M. Yousuff Hussaini · NASA Technical Reports Server (NASA) · 148
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A Stochastic Collocation Method for Uncertainty Quantification and Propagation in Cardiovascular Simulations
2010 · Sethuraman Sankaran, Alison L. Marsden · Journal of Biomechanical Engineering · 146
On the Optimal Polynomial Approximation of Stochastic Pdes by Galerkin and Collocation Methods
2012 · JOAKIM BECK, RAUL TEMPONE, et al. · Mathematical Models and Methods in Applied Sciences · 136
Numerical Methods for Stochastic Partial Differential Equations with White Noise
2017 · Zhongqiang Zhang, George Em Karniadakis · Applied mathematical sciences · 134
Topology optimization considering material and geometric uncertainties using stochastic collocation methods
2012 · Boyan S. Lazarov, Mattias Schevenels, et al. · Structural and Multidisciplinary Optimization · 133
A Stochastic Collocation Algorithm with Multifidelity Models
2014 · Akil Narayan, Claude Gittelson, et al. · SIAM Journal on Scientific Computing · 122
STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION
2012 · Liang Yan, Ling Guo, et al. · International Journal for Uncertainty Quantification · 118
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Works count: 993
Citation count: 16,620
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