activity
20152026
most citedAn Operator Inference Oriented Approach for Mechanical Systems

20 citations · 67 across the 24 of their papers we have counts for

collaborators

26 papers

math.DS2026

On the Compatibility of DEIM Subspaces for Nonlinear Forces Reduction in Projective Dynamics

Shaimaa Monem Abdelhafez, Igor Pontes Duff, Peter Benner

In physics-based simulations, the evaluation of nonlinear constraint forces represents a primary source of computational complexity. Within the framework of projective dynamics, th…

math.DS2025

Reduced-Order Inference with Structure-Preserving Parametrization for Bending and Rotating Systems

Yevgeniya Filanova, Igor Pontes Duff, Pawan Goyal +1

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system…

math.NA2025★ 1 cited

Data-driven balanced truncation for linear systems with quadratic outputs

Reetish Padhi, Ion Victor Gosea, Igor Pontes Duff +1

We develop the framework for a non-intrusive, quadrature-based method for approximate balanced truncation (QuadBT) of linear systems with quadratic outputs, thus extending the appl…

math.DS2025

Application of operator inference to reduced-order modeling of constrained mechanical systems

Peter Benner, Yevgeniya Filanova, Igor Pontes Duff +1

Constrained mechanical systems occur in many applications, such as modeling of robots and other multibody systems. In this case, the motion is governed by a system of differential-…

math.NA2025

Inference of Substructured Reduced-Order Models for Dynamic Contact from Contact-free Simulations

Diana Manvelyan-Stroot, Yevgeniya Filanova, Igor Pontes Duff +2

In this paper, we propose an operator-inference-based reduction approach for contact problems, leveraging snapshots from simulations without active contact. Contact problems are so…

math.NA2025

-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation

Sean Reiter, Ion Victor Gosea, Igor Pontes Duff +1

This paper addresses the -optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major…