activity
20122022
most citedThe GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

672 citations · 1.4k across the 27 of their papers we have counts for

collaborators
Showing 2019Show all

6 papers · 1 filter

math.NA2019

Windowed least-squares model reduction for dynamical systems

Eric J. Parish, Kevin T. Carlberg

This work proposes a windowed least-squares (WLS) approach for model-reduction of dynamical systems. The proposed approach sequentially minimizes the time-continuous full-order-mod…

physics.comp-ph2019★ 5 cited

Deep Conservation: A latent-dynamics model for exact satisfaction of physical conservation laws

Kookjin Lee, Kevin Carlberg

This work proposes an approach for latent-dynamics learning that exactly enforces physical conservation laws. The method comprises two steps. First, the method computes a low-dimen…

math.NA2019★ 2 cited

The network uncertainty quantification method for propagating uncertainties in component-based systems

Kevin Carlberg, Sofia Guzzetti, Mohammad Khalil +1

This work introduces the network uncertainty quantification (NetUQ) method for performing uncertainty propagation in systems composed of interconnected components. The method assum…

math.NA2019★ 38 cited

Time-series machine-learning error models for approximate solutions to parameterized dynamical systems

Eric J. Parish, Kevin T. Carlberg

This work proposes a machine-learning framework for modeling the error incurred by approximate solutions to parameterized dynamical systems. In particular, we extend the machine-le…

math.NA2019★ 39 cited

Online adaptive basis refinement and compression for reduced-order models via vector-space sieving

Philip A. Etter, Kevin T. Carlberg

In many applications, projection-based reduced-order models (ROMs) have demonstrated the ability to provide rapid approximate solutions to high-fidelity full-order models (FOMs). H…

math.NA2019★ 2 cited

Statistical closure modeling for reduced-order models of stationary systems by the ROMES method

Stefano Pagani, Andrea Manzoni, Kevin Carlberg

This work proposes a technique for constructing a statistical closure model for reduced-order models (ROMs) applied to stationary systems modeled as parameterized systems of algebr…