Publications

Journal Articles / Proceedings / Preprints

• Multivariate Rational Approximation via Low-Rank Tensors and the p-AAA Algorithm

L. Balicki, and S. Gugercin

Preprint, arxiv, 2025. doi.org/10.48550/arXiv.2502.03204 

• Energy-Based Approximation of Linear Systems with Polynomial Outputs 

L. Balicki, and S. Gugercin

Preprint, arxiv, 2024. doi.org/10.48550/arXiv.2409.19730 

• Scalable computation of energy functions for nonlinear balanced truncation

B. Kramer, S. Gugercin, J. Borggaard, L. Balicki

Computer Methods in Applied Mechanics and Engineering, 427:117011, 2024. doi.org/10.1016/j.cma.2024.117011 

• The p-AAA algorithm for data driven modeling of parametric dynamical systems

A. Carracedo Rodriguez, L. Balicki, and S. Gugercin

SIAM Journal on Scientific Computing, 45(3):A1332–A1358, 2023. doi.org/10.1137/20M1322698 

• Low-Rank Alternating Direction Implicit Iteration in pyMOR

L. Balicki

GAMM Archive for Students, 2(1), 1-13, 2020. doi.org/10.14464/gammas.v2i1.420

• System-theoretic model order reduction with pyMOR

L. Balicki, P. Mlinarić, S. Rave, J. Saak

Proceedings in Applied Mathematics and Mechanics, vol. 19, pp. E201900459, 2019. doi.org/10.1002/pamm.201900459 

Theses

• Modellreduktion für differentiell-algebraische Gleichungen im Kontext der Feedback-Stabilisierung von inkompressiblen Strömungen

L. Balicki

     Master‘s thesis, 2020.

• Eine abstrakte Implementierung der Low-Rank ADI Iteration für Lyapunovgleichungen in pyMOR

L. Balicki

Bachelor‘s thesis, 2018.

Conference Talks

• Parametric Reduced-Order Modeling via Low-Rank Barycentric Forms and the p-AAA Algorithm 

Model Reduction and Surrogate Modeling (MORe2024), La Jolla, CA, 2024.

• Energy-Based Approximation of Linear Systems with Polynomial Outputs

SIAM Conference on Control and Its Applications (CT23), Philadelphia, PA, 2023.

• Balanced Truncation for Systems with Polynomial Outputs 

Nonlinear Model Reduction for Control, Blacksburg, VA, 2023.

• Data-Driven Approximation of Parametric Systems with the p-AAA Algorithm

SIAM Southeastern Atlantic Section (SIAM-SEAS), Blacksburg, VA, March, 2023.

• Data-driven model order reduction with the p-AAA algorithm 

Model Reduction and Surrogate Modeling (MORE), Berlin, Germany, 2022.