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ORCIDKarsten Urban
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2020 – today
- 2024
[j29]Stefan Hain, Karsten Urban:
An ultra-weak space-time variational formulation for the Schrödinger equation. J. Complex. 85: 101868 (2024)- [i9]Niklas Reich, Karsten Urban, Jürgen Vorloeper:
A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results. CoRR abs/2407.11631 (2024) - 2023
- [j28]Nina Beranek, Martin Alexander Reinhold
, Karsten Urban:
A space-time variational method for optimal control problems: well-posedness, stability and numerical solution. Comput. Optim. Appl. 86(2): 767-794 (2023) - [i8]Florian Arbes, Constantin Greif, Karsten Urban:
The Kolmogorov N-width for linear transport: Exact representation and the influence of the data. CoRR abs/2305.00066 (2023) - 2022
- [j27]Constantin Greif, Philipp Junk, Karsten Urban:
Linear/Ridge expansions: enhancing linear approximations by ridge functions. Adv. Comput. Math. 48(3): 15 (2022) - [j26]Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban:
An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations. Frontiers Appl. Math. Stat. 8 (2022) - [i7]Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban:
An ultraweak variational method for parameterized linear differential-algebraic equations. CoRR abs/2202.12834 (2022) - [i6]Lewin Ernst, Karsten Urban:
A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations. CoRR abs/2212.08389 (2022) - [i5]Stefan Hain, Karsten Urban:
An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation. CoRR abs/2212.14398 (2022) - 2021
- [i4]Constantin Greif, Philipp Junk, Karsten Urban:
Linear/Ridge expansions: Enhancing linear approximations by ridge functions. CoRR abs/2107.04345 (2021) - [i3]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. CoRR abs/2107.12119 (2021) - 2020
- [j25]Mazen Ali, Karsten Urban:
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Adv. Comput. Math. 46(4): 59 (2020) - [i2]Nina Beranek, M. Alexander Reinhold, Karsten Urban:
A Space-Time Variational Method for Optimal Control Problems. CoRR abs/2010.00345 (2020)
2010 – 2019
- 2019
- [j24]Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban:
A hierarchical a posteriori error estimator for the Reduced Basis Method. Adv. Comput. Math. 45(5): 2191-2214 (2019) - [j23]Constantin Greif, Karsten Urban:
Decay of the Kolmogorov N-width for wave problems. Appl. Math. Lett. 96: 216-222 (2019) - [j22]Julia Brunken, Kathrin Smetana, Karsten Urban:
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods. SIAM J. Sci. Comput. 41(1): A592-A621 (2019) - [c3]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. ENUMATH 2019: 1049-1057 - [c2]Moritz Feuerle, Karsten Urban:
A Variational Formulation for LTI-Systems and Model Reduction. ENUMATH 2019: 1059-1067 - [i1]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Matrix oriented reduction of space-time Petrov-Galerkin variational problems. CoRR abs/1912.10082 (2019) - 2017
- [j21]Mazen Ali, Kristina Steih, Karsten Urban:
Reduced basis methods with adaptive snapshot computations. Adv. Comput. Math. 43(2): 257-294 (2017) - 2016
- [j20]Sebastian Kestler, Kristina Steih, Karsten Urban:
An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. Math. Comput. 85(299): 1309-1333 (2016) - 2015
- [j19]Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban:
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. 41(5): 955-960 (2015) - [j18]Julia Springer, Karsten Urban:
Adjoint-Based Optimization for Rigid Body Motion in Multiphase Navier-Stokes Flow. SIAM J. Sci. Comput. 37(2) (2015) - [c1]Mazen Ali, Karsten Urban:
Reduced Basis Exact Error Estimates with Wavelets. ENUMATH 2015: 359-367 - 2014
- [j17]Karsten Urban, Anthony T. Patera:
An improved error bound for reduced basis approximation of linear parabolic problems. Math. Comput. 83(288): 1599-1615 (2014) - [j16]Theresa Springer, Karsten Urban:
Comparison of the EM algorithm and alternatives. Numer. Algorithms 67(2): 335-364 (2014) - [j15]Silke Glas, Karsten Urban:
On Noncoercive Variational Inequalities. SIAM J. Numer. Anal. 52(5): 2250-2271 (2014) - 2013
- [j14]Bernard Haasdonk, Karsten Urban, Bernhard Wieland:
Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen-Loève Expansion. SIAM/ASA J. Uncertain. Quantification 1(1): 79-105 (2013) - 2012
- [j13]Sebastian Kestler, Karsten Urban:
Adaptive Wavelet Methods on Unbounded Domains. J. Sci. Comput. 53(2): 342-376 (2012) - 2011
- [j12]Ralf Leidenberger, Karsten Urban:
Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept. J. Glob. Optim. 49(3): 497-504 (2011) - 2010
- [j11]Timo Tonn, Karsten Urban, Stefan Volkwein:
Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies. SIAM J. Sci. Comput. 32(3): 1237-1260 (2010)
2000 – 2009
- 2009
- [j10]Claudio Canuto, Timo Tonn, Karsten Urban:
A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs. SIAM J. Numer. Anal. 47(3): 2001-2022 (2009) - 2007
- [j9]Kai Bittner, Karsten Urban:
On interpolatory divergence-free wavelets. Math. Comput. 76(258): 903-929 (2007) - 2005
- [j8]Claudio Canuto, Karsten Urban:
Adaptive Optimization of Convex Functionals in Banach Spaces. SIAM J. Numer. Anal. 42(5): 2043-2075 (2005) - 2003
- [j7]Wolfgang Dahmen, Torben Klint, Karsten Urban:
On Fictitious Domain Formulations for Maxwell's Equations. Found. Comput. Math. 3(2): 135-143 (2003) - 2002
- [b1]Karsten Urban:
Wavelets in Numerical Simulation - Problem Adapted Construction and Applications. Lecture Notes in Computational Science and Engineering 22, Springer 2002, ISBN 978-3-540-43055-1, pp. I-XV, 1-186 - [j6]Cem M. Albukrek, Karsten Urban, Dietmar Rempfer, John L. Lumley:
Divergence-Free Wavelet Analysis of Turbulent Flows. J. Sci. Comput. 17(1-4): 49-66 (2002) - [j5]Stephan Dahlke, Wolfgang Dahmen, Karsten Urban:
Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates. SIAM J. Numer. Anal. 40(4): 1230-1262 (2002) - 2001
- [j4]Karsten Urban:
Wavelet bases in H(div) and H(curl). Math. Comput. 70(234): 739-766 (2001) - [j3]Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen, Karsten Urban:
Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments. SIAM J. Sci. Comput. 23(3): 910-939 (2001)
1990 – 1999
- 1996
- [j2]Wolfgang Dahmen, Angela Kunoth, Karsten Urban:
A Wavelet Galerkin Method for the Stokes Equations. Computing 56(3): 259-302 (1996) - 1995
- [j1]Karsten Urban:
On divergence-free wavelets. Adv. Comput. Math. 4(1): 51-81 (1995)
Coauthor Index
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