Karsten Urban
Orcid: 0000-0002-6262-7955
According to our database1,
Karsten Urban
authored at least 38 papers
between 1995 and 2024.
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Bibliography
2024
J. Complex., 2024
A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results.
CoRR, 2024
2023
A space-time variational method for optimal control problems: well-posedness, stability and numerical solution.
Comput. Optim. Appl., November, 2023
The Kolmogorov N-width for linear transport: Exact representation and the influence of the data.
CoRR, 2023
2022
An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations.
Frontiers Appl. Math. Stat., 2022
A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations.
CoRR, 2022
Adv. Comput. Math., 2022
2021
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution.
CoRR, 2021
2020
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems.
Adv. Comput. Math., 2020
2019
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.
SIAM J. Sci. Comput., 2019
Adv. Comput. Math., 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2017
2016
An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations.
Math. Comput., 2016
2015
SIAM J. Sci. Comput., 2015
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics.
Adv. Comput. Math., 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
An improved error bound for reduced basis approximation of linear parabolic problems.
Math. Comput., 2014
2013
Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen-Loève Expansion.
SIAM/ASA J. Uncertain. Quantification, 2013
2012
2011
Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept.
J. Glob. Optim., 2011
2010
Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies.
SIAM J. Sci. Comput., 2010
2009
A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs.
SIAM J. Numer. Anal., 2009
2007
2005
SIAM J. Numer. Anal., 2005
2003
Found. Comput. Math., 2003
2002
Lecture Notes in Computational Science and Engineering 22, Springer, ISBN: 978-3-642-56002-6, 2002
SIAM J. Numer. Anal., 2002
2001
Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments.
SIAM J. Sci. Comput., 2001
1996
1995