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 ◽

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

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An efficient reduced-order modeling approach for non-linear parametrized partial differential equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2309 ◽

2008 ◽

Vol 76 (1) ◽

pp. 27-55 ◽

Author(s):

N. C. Nguyen ◽

J. Peraire

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Order Modeling ◽

Partial Differential ◽

Reduced Order ◽

Modeling Approach ◽

Parametrized Partial Differential Equations

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On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012016 ◽

2012 ◽

Vol 46 (6) ◽

pp. 1555-1576 ◽

Author(s):

Toni Lassila ◽

Andrea Manzoni ◽

Gianluigi Rozza

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-019-00210-w ◽

2019 ◽

Vol 45 (5) ◽

pp. 1487-1504 ◽

Author(s):

Rezvan Ghaffari ◽

Farideh Ghoreishi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Time Dependent ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

10.1007/978-3-319-22470-1 ◽

2016 ◽

Author(s):

Jan S Hesthaven ◽

Gianluigi Rozza ◽

Benjamin Stamm

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods ◽

Parametrized Partial Differential Equations

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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

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Certified reduced basis approximation for parametrized partial differential equations and applications

Journal of Mathematics in Industry ◽

10.1186/2190-5983-1-3 ◽

2011 ◽

Vol 1 (1) ◽

pp. 3 ◽

Author(s):

Alfio Quarteroni ◽

Gianluigi Rozza ◽

Andrea Manzoni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Output bounds for reduced-order approximations of elliptic partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00275-9 ◽

2001 ◽

Vol 190 (26-27) ◽

pp. 3413-3426 ◽

Author(s):

L. Machiels ◽

Y. Maday ◽

A.T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

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Reduced basis approximation for parametrized partial differential equations

Numerical Models for Differential Problems ◽

10.1007/978-88-470-1071-0_18 ◽

2009 ◽

pp. 547-579

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest-neighbors regression

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110907 ◽

2021 ◽

pp. 110907

Author(s):

Zhen Gao ◽

Yifan Lin ◽

Xiang Sun ◽

Xueying Zeng

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nearest Neighbors ◽

Dynamic Mode Decomposition ◽

Dynamic Mode ◽

Order Method ◽

Partial Differential ◽

K Nearest Neighbors ◽

Reduced Order ◽

Mode Decomposition

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Reduced basis approximation for parametrized partial differential equations

Numerical Models for Differential Problems ◽

10.1007/978-88-470-5522-3_19 ◽

2014 ◽

pp. 585-633

Author(s):

Alfio Quarteroni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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