A review on the distribution of relaxation times analysis: A powerful tool for process identification of electrochemical systems

C Plank, T Rüther, L Jahn, M Schamel… - Journal of Power …, 2024 - Elsevier
Abstract The Distribution of Relaxation Times (DRT) analysis gained considerable attention
for its ability to reveal detailed information about complex electrochemical processes without …

A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

Projection-based model reduction: Formulations for physics-based machine learning

R Swischuk, L Mainini, B Peherstorfer, K Willcox - Computers & Fluids, 2019 - Elsevier
This paper considers the creation of parametric surrogate models for applications in science
and engineering where the goal is to predict high-dimensional output quantities of interest …

Data-driven operator inference for nonintrusive projection-based model reduction

B Peherstorfer, K Willcox - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
This work presents a nonintrusive projection-based model reduction approach for full
models based on time-dependent partial differential equations. Projection-based model …

Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

Machine learning for fast and reliable solution of time-dependent differential equations

F Regazzoni, L Dede, A Quarteroni - Journal of Computational physics, 2019 - Elsevier
We propose a data-driven Model Order Reduction (MOR) technique, based on Artificial
Neural Networks (ANNs), applicable to dynamical systems arising from Ordinary Differential …

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms

P Benner, P Goyal, B Kramer, B Peherstorfer… - Computer Methods in …, 2020 - Elsevier
This work presents a non-intrusive model reduction method to learn low-dimensional
models of dynamical systems with non-polynomial nonlinear terms that are spatially local …

Workshop report on basic research needs for scientific machine learning: Core technologies for artificial intelligence

N Baker, F Alexander, T Bremer, A Hagberg… - 2019 - osti.gov
Scientific Machine Learning (SciML) and Artificial Intelligence (AI) will have broad use and
transformative effects across the Department of Energy. Accordingly, the January 2018 Basic …

The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena

J Reiss, P Schulze, J Sesterhenn, V Mehrmann - SIAM Journal on Scientific …, 2018 - SIAM
Transport-dominated phenomena provide a challenge for common mode-based model
reduction approaches. We present a model reduction method, which is suited for these kinds …

[Књига][B] Interpolatory methods for model reduction

Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …