A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications

Kotowski, Dawid; Ohlberger, Mario (2026)

In: arXiv:2604.22512.

Research article in digital collection

A Trust Region RB-ML-ROM Approach for Parabolic PDE Constrained Optimization

Klein, Benedikt; Ohlberger, Mario (2025)

In: Körner, Andreas; Kugi, Andreas; Kemmetmüller, Wolfgang; Deutschmann-Olek, Andreas; Steinböck, Andreas; Hartl-Nesic, Christian; Jadachowski, Lukasz Piotr (eds.), MATHMOD 2025 - Discussion Contribution Volume. Wien: .

Research article in edited proceedings (conference)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems

Engwer, Christian; Ohlberger, Mario; Rebelt, Lukas (2025)

In: arXiv:2507.00678.

Research article in digital collection

A Parareal Algorithm with Spectral Coarse Solver

In:

Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling

In: (eds.), .

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Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization Klein, Benedikt; Ohlberger, Mario (2026) In: Advances in Computational Mathematics, 52(19). Research article (journal)
A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications Kotowski, Dawid; Ohlberger, Mario (2026) In: arXiv:2604.22512. Research article in digital collection
Adaptive Model Hierarchies for Multi-Query Scenarios Kleikamp, Hendrik; Ohlberger, Mario (2025) In: Körner, Andreas; Kugi, Andreas; Kemmetmüller, Wolfgang; Deutschmann-Olek, Andreas; Steinböck, Andreas; Hartl-Nesic, Christian; Jadachowski, Lukasz Piotr (eds.), MATHMOD 2025 - Discussion Contribution Volume. Wien: . Research article in edited proceedings (conference)
A Trust Region RB-ML-ROM Approach for Parabolic PDE Constrained Optimization Klein, Benedikt; Ohlberger, Mario (2025) In: Körner, Andreas; Kugi, Andreas; Kemmetmüller, Wolfgang; Deutschmann-Olek, Andreas; Steinböck, Andreas; Hartl-Nesic, Christian; Jadachowski, Lukasz Piotr (eds.), MATHMOD 2025 - Discussion Contribution Volume. Wien: . Research article in edited proceedings (conference)
Improving Interoperability in Scientific Computing via MaRDI Open Interfaces Kabanov, Dmitry I.; Rave, Stephan; Ohlberger, Mario (2025) In: Journal of Open Research Software, 13(1), 29. Research article (journal)
Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems Engwer, Christian; Ohlberger, Mario; Rebelt, Lukas (2025) In: arXiv:2507.00678. Research article in digital collection
Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems In: , .
A Parareal Algorithm with Spectral Coarse Solver In:
A Relaxed Localized Trust-Region Reduced Basis Approach for Optimization of Multiscale Problems In: .
Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling In: (eds.), .