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

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0101 ◽

2018 ◽

Vol 10 (6) ◽

pp. 1305-1326 ◽

Author(s):

Jichun Li and Zhiwei Fang

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

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

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0023 ◽

2019 ◽

Vol 12 (3) ◽

pp. 824-844

Author(s):

Lizheng Cheng

Keyword(s):

Convergence Analysis ◽

Maxwell Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

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

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0008 ◽

2020 ◽

Vol 12 (1) ◽

pp. 30-56

Author(s):

Zhizhang Wu & Zhongyi Huang

Keyword(s):

Schrödinger Equation ◽

Convergence Analysis ◽

Schrodinger Equation ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

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Comparison of stochastic reduced order model and stochastic collocation methods for the sensitivity analysis of crosstalk

Tenth International Conference on Computational Electromagnetics (CEM 2019) ◽

10.1049/cp.2019.0118 ◽

2019 ◽

Author(s):

Zhouxiang Fei ◽

Yi Huang ◽

Jiafeng Zhou ◽

Chaoyun Song

Keyword(s):

Sensitivity Analysis ◽

Reduced Order Model ◽

Collocation Methods ◽

Stochastic Collocation ◽

Order Model ◽

Reduced Order ◽

Stochastic Collocation Methods

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

SIAM Journal on Scientific Computing ◽

10.1137/16m1059680 ◽

2017 ◽

Vol 39 (1) ◽

pp. A333-A359 ◽

Author(s):

Ling Guo ◽

Akil Narayan ◽

Tao Zhou ◽

Yuhang Chen

Keyword(s):

Collocation Methods ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

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Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0011 ◽

2021 ◽

Vol 29 (1) ◽

pp. 211-236

Author(s):

Xiang Wang

Keyword(s):

Finite Element ◽

Monte Carlo ◽

Finite Element Methods ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Dependent ◽

Random Inputs ◽

Single Level ◽

Quasi Monte Carlo ◽

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Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

Communications in Computational Physics ◽

10.4208/cicp.060109.130110a ◽

2010 ◽

Vol 8 (1) ◽

pp. 226-248 ◽

Author(s):

Tao Tang and Tao Zhou

Keyword(s):

Convergence Analysis ◽

Hyperbolic Equations ◽

Collocation Methods ◽

Random Wave ◽

Stochastic Collocation ◽

Stochastic Collocation Methods

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Error estimation in high dimensional space for stochastic collocation methods on arbitrary sparse samples

10.1063/1.4825645 ◽

2013 ◽

Author(s):

Rick Archibald

Keyword(s):

Error Estimation ◽

Dimensional Space ◽

Collocation Methods ◽

High Dimensional ◽

Stochastic Collocation ◽

High Dimensional Space ◽

Stochastic Collocation Methods ◽

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UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2015010170 ◽

2015 ◽

Vol 5 (3) ◽

pp. 195-208 ◽

Author(s):

Peter Benner ◽

Judith Schneider

Keyword(s):

Uncertainty Quantification ◽

Model Order Reduction ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Order Reduction ◽

Stochastic Collocation ◽

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

50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2009-2274 ◽

2009 ◽

Author(s):

Michael Eldred

Keyword(s):

Uncertainty Analysis ◽

Polynomial Chaos ◽

Collocation Methods ◽

Stochastic Collocation ◽

Analysis And Design ◽

Recent Advances ◽

Stochastic Collocation Methods

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

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/15m1019568 ◽

2016 ◽

Vol 4 (1) ◽

pp. 1111-1137 ◽

Author(s):

D. Galindo ◽

P. Jantsch ◽

C. G. Webster ◽

G. Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Methods ◽

Random Input Data

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