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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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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Galerkin reduced-order modeling scheme for time-dependent randomly parametrized linear partial differential equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4341 ◽

2012 ◽

Vol 92 (4) ◽

pp. 370-398 ◽

Author(s):

Christophe Audouze ◽

Prasanth B. Nair

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Order Modeling ◽

Time Dependent ◽

Partial Differential ◽

Reduced Order ◽

Linear Partial Differential Equations

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Real-time reduced-order modeling of stochastic partial differential equations via time-dependent subspaces

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109511 ◽

2020 ◽

Vol 415 ◽

pp. 109511

Author(s):

Prerna Patil ◽

Hessam Babaee

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Real Time ◽

Stochastic Partial Differential Equations ◽

Reduced Order Modeling ◽

Time Dependent ◽

Partial Differential ◽

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Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21768 ◽

2013 ◽

Vol 29 (5) ◽

pp. 1587-1628 ◽

Author(s):

Christophe Audouze ◽

Florian De Vuyst ◽

Prasanth B. Nair

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Order Modeling ◽

Time Dependent ◽

Partial Differential ◽

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POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter Identification

Journal of Scientific Computing ◽

10.1007/s10915-017-0433-8 ◽

2017 ◽

Vol 74 (1) ◽

pp. 220-243 ◽

Author(s):

Hongfei Fu ◽

Hong Wang ◽

Zhu Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parameter Identification ◽

Reduced Order Modeling ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

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PROBABILISTIC REDUCED-ORDER MODELING FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017) ◽

10.7712/120217.5356.16731 ◽

2017 ◽

Author(s):

Constantin Grigo ◽

Phaedon-Stelios Koutsourelakis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Reduced Order Modeling ◽

Partial Differential ◽

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Algebraic Analysis of Non-linear Partial Differential Equations

Towards the Mathematics of Quantum Field Theory ◽

10.1007/978-3-319-04564-1_12 ◽

2014 ◽

pp. 277-291

Author(s):

Frédéric Paugam

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Algebraic Analysis ◽

Linear Partial Differential Equations ◽

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Taylor meshless method for solving non-linear partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.07.034 ◽

2017 ◽

Vol 348 ◽

pp. 385-400 ◽

Author(s):

Jie Yang ◽

Heng Hu ◽

Yao Koutsawa ◽

Michel Potier-Ferry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Meshless Method ◽

Partial Differential ◽

Linear 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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Galerkin approximations to non-linear pseudo-parabolic partial differential equations

Aequationes Mathematicae ◽

10.1007/bf01835978 ◽

1976 ◽

Vol 14 (3) ◽

pp. 271-291 ◽

Author(s):

William H. Ford

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Galerkin Approximations ◽

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