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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
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References
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
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