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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
Randomized residual‐based error estimators for the proper generalized decomposition approximation of parametrized problems
Kathrin Smetana and Olivier Zahm 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) https://doi.org/10.1002/nme.6462
(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