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Cited article:

A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE

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Computational Optimization and Applications 87 (3) 755 (2024)
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Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: a study using POD-Galerkin and dynamical low-rank approximation

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Advances in Computational Mathematics 50 (4) (2024)
https://doi.org/10.1007/s10444-024-10175-y

Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment

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SIAM Journal on Scientific Computing 45 (3) A1300 (2023)
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Hierarchical Model Reduction Driven by Machine Learning for Parametric Advection-Diffusion-Reaction Problems in the Presence of Noisy Data

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Journal of Scientific Computing 94 (2) (2023)
https://doi.org/10.1007/s10915-022-02073-6

Randomized residual‐based error estimators for the proper generalized decomposition approximation of parametrized problems

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International Journal for Numerical Methods in Engineering 121 (23) 5153 (2020)
https://doi.org/10.1002/nme.6339

Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

Sridhar Chellappa, Lihong Feng and Peter Benner
International Journal for Numerical Methods in Engineering 121 (23) 5320 (2020)
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(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods

Julia Brunken, Kathrin Smetana and Karsten Urban
SIAM Journal on Scientific Computing 41 (1) A592 (2019)
https://doi.org/10.1137/18M1176269

Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach

Mario Ohlberger and Kathrin Smetana
Journal of Computational Physics 321 1185 (2016)
https://doi.org/10.1016/j.jcp.2016.06.021