Multilevel Designed Quadrature for Partial Differential Equations with Random Inputs

Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan

doi:10.1137/20m1333407

Multilevel Designed Quadrature for Partial Differential Equations with Random Inputs

SIAM Journal on Scientific Computing ◽

10.1137/20m1333407 ◽

2021 ◽

Vol 43 (2) ◽

pp. A1412-A1440

Author(s):

Vahid Keshavarzzadeh ◽

Robert M. Kirby ◽

Akil Narayan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Random Inputs

Download Full-text

Weighted Reduced Order Methods for Parametrized Partial Differential Equations with Random Inputs

Uncertainty Modeling for Engineering Applications - PoliTO Springer Series ◽

10.1007/978-3-030-04870-9_2 ◽

2018 ◽

pp. 27-40 ◽

Cited By ~ 2

Author(s):

Luca Venturi ◽

Davide Torlo ◽

Francesco Ballarin ◽

Gianluigi Rozza

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Random Inputs ◽

Reduced Order ◽

Parametrized Partial Differential Equations ◽

Reduced Order Methods

Download Full-text

Rank adaptive tensor recovery based model reduction for partial differential equations with high-dimensional random inputs

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109326 ◽

2020 ◽

Vol 409 ◽

pp. 109326

Author(s):

Kejun Tang ◽

Qifeng Liao

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Model Reduction ◽

High Dimensional ◽

Partial Differential ◽

Random Inputs ◽

Tensor Recovery

Download Full-text

A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs

SIAM Journal on Scientific Computing ◽

10.1137/19m1262486 ◽

2020 ◽

Vol 42 (2) ◽

pp. A723-A750

Author(s):

Qiuqi Li ◽

Pingwen Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Separation Method ◽

Variable Separation ◽

Partial Differential ◽

Random Inputs ◽

Variable Separation Method

Download Full-text

A least-squares approximation of partial differential equations with high-dimensional random inputs

Journal of Computational Physics ◽

10.1016/j.jcp.2009.03.006 ◽

2009 ◽

Vol 228 (12) ◽

pp. 4332-4345 ◽

Cited By ~ 87

Author(s):

Alireza Doostan ◽

Gianluca Iaccarino

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

High Dimensional ◽

Least Squares Approximation ◽

Partial Differential ◽

Random Inputs

Download Full-text

Stochastic Finite Element Methods with the Euclidean Degree for Partial Differential Equations with Random Inputs

2020 Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc49329.2020.9164272 ◽

2020 ◽

Author(s):

Qiong Huang ◽

Ke Li ◽

Guanjie Wang ◽

Qifeng Liao ◽

Xin Du

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Stochastic Finite Element ◽

Partial Differential ◽

Random Inputs

Download Full-text

Reduced basis ANOVA methods for partial differential equations with high-dimensional random inputs

Journal of Computational Physics ◽

10.1016/j.jcp.2016.04.029 ◽

2016 ◽

Vol 317 ◽

pp. 148-164 ◽

Cited By ~ 7

Author(s):

Qifeng Liao ◽

Guang Lin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Dimensional ◽

Reduced Basis ◽

Partial Differential ◽

Random Inputs

Download Full-text

Partial Differential Equations

10.1017/9781108839808 ◽

2020 ◽

Author(s):

A. K. Nandakumaran ◽

P. S. Datti

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

Download Full-text

Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

10.1017/cbo9780511546730 ◽

2005 ◽

Cited By ~ 54

Author(s):

Dan Henry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Partial Differential

Download Full-text

Partial Differential Equations in Fluid Dynamics

10.1017/cbo9780511754654 ◽

2008 ◽

Cited By ~ 4

Author(s):

Isom H. Herron ◽

Michael R. Foster

Keyword(s):

Fluid Dynamics ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

Download Full-text

Partial Differential Equations

10.1017/cbo9781139171755 ◽

1987 ◽

Cited By ~ 391

Author(s):

J. Wloka

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

Download Full-text