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Cited article:

An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations

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Advances in Computational Mathematics 50 (3) (2024)
https://doi.org/10.1007/s10444-024-10137-4

Matrix-oriented FEM formulation for reaction-diffusion PDEs on a large class of 2D domains

Massimo Frittelli and Ivonne Sgura
Applied Numerical Mathematics 200 286 (2024)
https://doi.org/10.1016/j.apnum.2023.07.010

A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations

Lewin Ernst and Karsten Urban
IMA Journal of Numerical Analysis (2024)
https://doi.org/10.1093/imanum/drae011

A space–time variational method for optimal control problems: well-posedness, stability and numerical solution

Nina Beranek, Martin Alexander Reinhold and Karsten Urban
Computational Optimization and Applications 86 (2) 767 (2023)
https://doi.org/10.1007/s10589-023-00507-x

Space-Time Discontinuous Galerkin Methods for Weak Solutions of Hyperbolic Linear Symmetric Friedrichs Systems

Daniele Corallo, Willy Dörfler and Christian Wieners
Journal of Scientific Computing 94 (1) (2023)
https://doi.org/10.1007/s10915-022-02076-3

Model order reduction for seismic waveform modelling: inspiration from normal modes

R Hawkins, M H Khalid, K Smetana and J Trampert
Geophysical Journal International 234 (3) 2255 (2023)
https://doi.org/10.1093/gji/ggad195

Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation

Douglas R. Q. Pacheco and Olaf Steinbach
Computational Methods in Applied Mathematics (2023)
https://doi.org/10.1515/cmam-2021-0242