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Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

Journal of computational physics, 2020-06, Vol.410, p.109402, Article 109402

2020

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Localized model order reduction and domain decomposition methods for coupled heterogeneous systems

International journal for numerical methods in engineering, 2023-09, Vol.124 (18), p.3964-3996

2023

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

1st ed. 2016, 2015

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Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

Physical review. X, 2014-07, Vol.4 (3), p.031006, Article 031006

2014

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Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

Journal of computational physics, 2019-05, Vol.384, p.289-307

2019

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Data-driven reduced order modeling for time-dependent problems

Computer methods in applied mechanics and engineering, 2019-03, Vol.345, p.75-99

2019

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Reduced order modeling for nonlinear structural analysis using Gaussian process regression

Computer methods in applied mechanics and engineering, 2018-11, Vol.341, p.807-826

2018

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Time domain room acoustic simulations using the spectral element method

The Journal of the Acoustical Society of America, 2019-06, Vol.145 (6), p.3299-3310

2019

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An artificial neural network as a troubled-cell indicator

Journal of computational physics, 2018-08, Vol.367, p.166-191

2018

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Fast screening of covariates in population models empowered by machine learning

Journal of pharmacokinetics and pharmacodynamics, 2021-08, Vol.48 (4), p.597-609

2021

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Population pharmacokinetic model selection assisted by machine learning

Journal of pharmacokinetics and pharmacodynamics, 2022-04, Vol.49 (2), p.257-270

2022

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Reduced basis catalogs for gravitational wave templates

Physical review letters, 2011-06, Vol.106 (22), p.221102-221102, Article 221102

2011

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Physics-informed machine learning for reduced-order modeling of nonlinear problems

Journal of computational physics, 2021-12, Vol.446, p.110666, Article 110666

2021

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Reduced basis methods for time-dependent problems

Acta numerica, 2022-05, Vol.31, p.265-345

2022

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A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems

Computer methods in applied mechanics and engineering, 2020-06, Vol.364, p.112947, Article 112947

2020

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Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

Computer methods in applied mechanics and engineering, 2020-05, Vol.363, p.1-30, Article 112896

2020

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DISCONTINUOUS GALERKIN METHOD FOR FRACTIONAL CONVECTION-DIFFUSION EQUATIONS

SIAM journal on numerical analysis, 2014-01, Vol.52 (1), p.405-423

2014

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Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks

Journal of computational physics, 2021-04, Vol.431, p.110144, Article 110144

2021

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Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities

Computer methods in applied mechanics and engineering, 2022-02, Vol.389, p.114378, Article 114378

2022

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Systematic sensor placement for structural anomaly detection in the absence of damaged states

Computer methods in applied mechanics and engineering, 2020-11, Vol.371, p.113315, Article 113315

2020

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Structure-preserving reduced basis methods for Poisson systems

Mathematics of computation, 2021-07, Vol.90 (330), p.1701-1740

2021

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Filtering in Legendre spectral methods

Mathematics of computation, 2008-09, Vol.77 (263), p.1425-1452

2008

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Constraint-aware neural networks for Riemann problems

Journal of computational physics, 2020-05, Vol.409, p.109345, Article 109345

2020

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A multi-domain spectral method for time-fractional differential equations

Journal of computational physics, 2015-07, Vol.293, p.157-172

2015

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Model order reduction for compressible flows solved using the discontinuous Galerkin methods

Journal of computational physics, 2022-11, Vol.468, p.111452, Article 111452

2022

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Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

Localized model order reduction and domain decomposition methods for coupled heterogeneous systems

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

Data-driven reduced order modeling for time-dependent problems

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

Time domain room acoustic simulations using the spectral element method

An artificial neural network as a troubled-cell indicator

Fast screening of covariates in population models empowered by machine learning

Population pharmacokinetic model selection assisted by machine learning

Reduced basis catalogs for gravitational wave templates

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Reduced basis methods for time-dependent problems

A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems

Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring

DISCONTINUOUS GALERKIN METHOD FOR FRACTIONAL CONVECTION-DIFFUSION EQUATIONS

Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks

Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities

Systematic sensor placement for structural anomaly detection in the absence of damaged states

Structure-preserving reduced basis methods for Poisson systems

Filtering in Legendre spectral methods

Constraint-aware neural networks for Riemann problems

A multi-domain spectral method for time-fractional differential equations

Model order reduction for compressible flows solved using the discontinuous Galerkin methods

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