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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)

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

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Applied Numerical Mathematics 200 286 (2024)

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)

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)

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)

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)

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)