An adaptive wavelet stochastic collocation method for irregular solutions of stochastic partial differential equations

Mapping Intimacies ◽

10.2172/1081925 ◽

2012 ◽

Cited By ~ 1

Author(s):

Clayton G Webster ◽

Guannan Zhang ◽

Max D Gunzburger

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Stochastic Collocation ◽

Partial Differential ◽

Adaptive Wavelet ◽

Stochastic Collocation Method

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An Adaptive Wavelet Stochastic Collocation Method for Irregular Solutions of Partial Differential Equations with Random Input Data

Lecture Notes in Computational Science and Engineering - Sparse Grids and Applications - Munich 2012 ◽

10.1007/978-3-319-04537-5_6 ◽

2014 ◽

pp. 137-170 ◽

Cited By ~ 6

Author(s):

Max Gunzburger ◽

Clayton G. Webster ◽

Guannan Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Adaptive Wavelet ◽

Stochastic Collocation Method ◽

Random Input Data

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

SIAM Journal on Numerical Analysis ◽

10.1137/050645142 ◽

2007 ◽

Vol 45 (3) ◽

pp. 1005-1034 ◽

Cited By ~ 656

Author(s):

Ivo Babuška ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Elliptic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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

SIAM Review ◽

10.1137/100786356 ◽

2010 ◽

Vol 52 (2) ◽

pp. 317-355 ◽

Cited By ~ 176

Author(s):

Ivo Babuška ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Elliptic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/140969002 ◽

2015 ◽

Vol 3 (1) ◽

pp. 1046-1074 ◽

Cited By ~ 46

Author(s):

A. L. Teckentrup ◽

P. Jantsch ◽

C. G. Webster ◽

M. Gunzburger

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

SIAM Journal on Numerical Analysis ◽

10.1137/070680540 ◽

2008 ◽

Vol 46 (5) ◽

pp. 2411-2442 ◽

Cited By ~ 300

Author(s):

F. Nobile ◽

R. Tempone ◽

C. G. Webster

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Sparse Grid ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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A MULTI-FIDELITY STOCHASTIC COLLOCATION METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2014007778 ◽

2014 ◽

Vol 4 (3) ◽

pp. 225-242 ◽

Cited By ~ 3

Author(s):

Maziar Raissi ◽

Padmanabhan Seshaiyer

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Parabolic Partial Differential Equations ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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The analysis of a sparse grid stochastic collocation method for partial differential equations with high-dimensional random input data.

10.2172/934852 ◽

2007 ◽

Author(s):

Clayton Webster ◽

Raul Tempone ◽

Fabio Nobile

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

High Dimensional ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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

SIAM Journal on Numerical Analysis ◽

10.1137/060663660 ◽

2008 ◽

Vol 46 (5) ◽

pp. 2309-2345 ◽

Cited By ~ 548

Author(s):

F. Nobile ◽

R. Tempone ◽

C. G. Webster

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Input Data ◽

Sparse Grid ◽

Stochastic Collocation ◽

Random Input ◽

Partial Differential ◽

Stochastic Collocation Method ◽

Random Input Data

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Spectral collocation method for stochastic partial differential equations with fractional Brownian motion

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113369 ◽

2021 ◽

pp. 113369

Author(s):

Mahdieh Arezoomandan ◽

Ali R. Soheili

Keyword(s):

Brownian Motion ◽

Partial Differential Equations ◽

Differential Equations ◽

Fractional Brownian Motion ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential

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Approximation of nonlinear stochastic partial differential equations by a kernel-based collocation method

International Journal of Applied Nonlinear Science ◽

10.1504/ijans.2014.061018 ◽

2014 ◽

Vol 1 (2) ◽

pp. 156 ◽

Cited By ~ 4

Author(s):

Qi Ye

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Stochastic Partial Differential Equations ◽

Partial Differential

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