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This work proposes a novel structure-preserving model order reduction (MOR) method for linear, time-invariant port-Hamiltonian (pH) systems. Our goal is to construct a reduced order pH system, which can still be interpreted in the physical…

Optimization and Control · Mathematics 2025-10-16 Silke Glas , Mir Mamunuzzaman , Hongliang Mu , Hans Zwart

We devise and analyze a reduced basis model order reduction (MOR) strategy for an abstract wave problem with vanishing initial conditions and a source term given by the product of a temporal Ricker wavelet and a spatial profile. Such wave…

Numerical Analysis · Mathematics 2026-02-18 Fernando Henriquez , Matthias Schlottbom

Lie groups and their actions are ubiquitous in the description of physical systems, and we explore implications in the setting of model order reduction (MOR). We present a novel framework of MOR via Lie groups, called MORLie, in which…

Numerical Analysis · Mathematics 2026-04-01 Yannik P. Wotte , Patrick Buchfink , Silke Glas , Federico Califano , Stefano Stramigioli

The use of model-based numerical simulation of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively and this is computationally expensive. We present a…

Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios. Model order…

Numerical Analysis · Mathematics 2019-02-28 Patrick Buchfink , Ashish Bhatt , Bernard Haasdonk

A parametric model order reduction (MOR) approach for simulating the high dimensional models arising in financial risk analysis is proposed on the basis of the proper orthogonal decomposition (POD) approach to generate small model…

Numerical Analysis · Mathematics 2021-10-05 Andreas Binder , Onkar Jadhav , Volker Mehrmann

A systematic approach to nonlinear model order reduction (NMOR) of coupled fluid-structureflight dynamics systems of arbitrary fidelity is presented. The technique employs a Taylor series expansion of the nonlinear residual around…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

We present an adaptive sampling strategy for the optimization-based structure preserving model order reduction (MOR) algorithm developed in [Schwerdtner, P. and Voigt, M. (2020). Structure preserving model order reduction by parameter…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Paul Schwerdtner , Matthias Voigt

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

Signal Processing · Electrical Eng. & Systems 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

In post--layout circuit simulation, efficient model order reduction (MOR) for many--port resistor--capacitor (RC) circuits remains a crucial issue. The current mainstream MOR methods for such circuits include high--order moment matching…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Siyuan Yin , Yuncheng Xu , Lin Liu , Fan Yang , Xuan Zeng , Chengtao An , Yangfeng Su

In the early stages of aerospace design, reduced order models (ROMs) are crucial for minimizing computational costs associated with using physics-rich field information in many-query scenarios requiring multiple evaluations. The intricacy…

Machine Learning · Computer Science 2024-02-28 Bilal Mufti , Christian Perron , Dimitri N. Mavris

Model order reduction (MOR) techniques have always struggled in compressing information for advection dominated problems. Their linear nature does not allow to accelerate the slow decay of the Kolmogorov $N$--width of these problems. In the…

Numerical Analysis · Mathematics 2020-04-01 Davide Torlo

The purpose of this work is to present a reduced order modeling framework for parametrized turbulent flows with moderately high Reynolds numbers within the variational multiscale (VMS) method. The Reduced Order Models (ROMs) presented in…

Numerical Analysis · Mathematics 2023-08-08 Giovanni Stabile , Francesco Ballarin , Giacomo Zuccarino , Gianluigi Rozza

Within a structural health monitoring (SHM) framework, we propose a simulation-based classification strategy to move towards online damage localization. The procedure combines parametric Model Order Reduction (MOR) techniques and Fully…

Machine Learning · Computer Science 2021-03-29 Luca Rosafalco , Matteo Torzoni , Andrea Manzoni , Stefano Mariani , Alberto Corigliano

Molecular dynamics simulations are indispensable for exploring the behavior of atoms and molecules. Grounded in quantum mechanical principles, quantum molecular dynamics provides high predictive power but its computational cost is dominated…

Chemical Physics · Physics 2025-09-10 Siu Wun Cheung , Youngsoo Choi , Jean-Luc Fattebert , Daniel Osei-Kuffuor

Classical model order reduction (MOR) for parametric problems may become computationally inefficient due to large sizes of the required projection bases, especially for problems with slowly decaying Kolmogorov n-widths. Additionally,…

Numerical Analysis · Mathematics 2024-05-21 Robin Herkert , Patrick Buchfink , Bernard Haasdonk

A model-order reduction framework for the meshless smoothed-particle hydrodynamics (SPH) method is presented. The proposed framework introduces the concept of modal reference spaces to overcome the challenges of discovering low-dimensional…

This paper proposes the use of a Spectral method to simulate diffusive moisture transfer through porous materials as a Reduced-Order Model (ROM). The Spectral approach is an a priori method assuming a separated representation of the…

Computational Physics · Physics 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so model order reduction methods are employed to compute…

Numerical Analysis · Mathematics 2022-10-24 Quirin Aumann , Steffen W. R. Werner

High-fidelity simulations of mixing and combustion processes are generally computationally demanding and time-consuming, hindering their wide application in industrial design and optimization. The present study proposes parametric reduced…

Fluid Dynamics · Physics 2023-08-29 Chenxu Ni , Siyu Ding , Xingjian Wang