Mesh refinement for uncertainty quantification through model reduction

Li, Jing; Stinis, Panos

doi:10.1016/j.jcp.2014.09.021

Title: Mesh refinement for uncertainty quantification through model reduction

Authors:: Li, Jing; Stinis, Panos

Publication Date:: Thu Jan 01 00:00:00 EST 2015

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI Identifier:: 1246996

Grant/Contract Number:: SC0009280; CM4

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 280 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Li, Jing, and Stinis, Panos. Mesh refinement for uncertainty quantification through model reduction.  United States: N. p., 2015. 
Web.  doi:10.1016/j.jcp.2014.09.021.

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                    Li, Jing, & Stinis, Panos. Mesh refinement for uncertainty quantification through model reduction.  United States.  https://doi.org/10.1016/j.jcp.2014.09.021

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                    Li, Jing, and Stinis, Panos. Thu .  
"Mesh refinement for uncertainty quantification through model reduction".  United States.  https://doi.org/10.1016/j.jcp.2014.09.021.

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@article{osti_1246996,

  title        = {Mesh refinement for uncertainty quantification through model reduction},

  author       = {Li, Jing and Stinis, Panos},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2014.09.021},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 280,

  place        = {United States},

  year         = {Thu Jan 01 00:00:00 EST 2015},

  month        = {Thu Jan 01 00:00:00 EST 2015}

}

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https://doi.org/10.1016/j.jcp.2014.09.021

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Works referenced in this record:

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Title: Mesh refinement for uncertainty quantification through model reduction

Citation Formats

A stochastic Galerkin method for the Euler equations with Roe variable transformation journal, January 2014

Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions journal, June 2013

Dynamical Properties of Truncated Wiener-Hermite Expansions journal, January 1967

An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations journal, May 2009

The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications journal, November 2008

Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions journal, April 2007

Multi-resolution analysis of Wiener-type uncertainty propagation schemes journal, July 2004

An adaptive multi-element generalized polynomial chaos method for stochastic differential equations journal, November 2005

Optimal prediction with memory journal, June 2002

Multi-element probabilistic collocation method in high dimensions journal, March 2010

Uncertainty propagation using Wiener–Haar expansions journal, June 2004

The Homogeneous Chaos journal, October 1938

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal, January 2002

Optimal prediction and the Mori-Zwanzig representation of irreversible processes journal, March 2000

Optimal Prediction of Burgers’s Equation journal, January 2007

A phase transition approach to detecting singularities of partial differential equations journal, January 2009

A stochastic Galerkin method for the Euler equations with Roe variable transformation
journal, January 2014

Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions
journal, June 2013

Dynamical Properties of Truncated Wiener-Hermite Expansions
journal, January 1967

An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
journal, May 2009

The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications
journal, November 2008

Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions
journal, April 2007

Multi-resolution analysis of Wiener-type uncertainty propagation schemes
journal, July 2004

An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
journal, November 2005

Optimal prediction with memory
journal, June 2002

Multi-element probabilistic collocation method in high dimensions
journal, March 2010

Uncertainty propagation using Wiener–Haar expansions
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The Homogeneous Chaos
journal, October 1938

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
journal, January 2002

Optimal prediction and the Mori-Zwanzig representation of irreversible processes
journal, March 2000

Optimal Prediction of Burgers’s Equation
journal, January 2007

A phase transition approach to detecting singularities of partial differential equations
journal, January 2009