Karsten Urban

According to our database, Karsten Urban authored at least 37 papers between 1995 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

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

Nina Beranek, Martin Alexander Reinhold, Karsten Urban

Comput. Optim. Appl., November, 2023

The Kolmogorov N-width for linear transport: Exact representation and the influence of the data.

Florian Arbes, Constantin Greif, Karsten Urban

CoRR, 2023

2022

An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations.

Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban

Frontiers Appl. Math. Stat., 2022

An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation.

Stefan Hain, Karsten Urban

CoRR, 2022

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

Lewin Ernst, Karsten Urban

CoRR, 2022

Linear/Ridge expansions: enhancing linear approximations by ridge functions.

Constantin Greif, Philipp Junk, Karsten Urban

Adv. Comput. Math., 2022

2021

Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution.

Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban

CoRR, 2021

2020

A Space-Time Variational Method for Optimal Control Problems.

Nina Beranek, M. Alexander Reinhold, Karsten Urban

CoRR, 2020

HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems.

Mazen Ali, Karsten Urban

Adv. Comput. Math., 2020

2019

(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.

Julia Brunken, Kathrin Smetana, Karsten Urban

SIAM J. Sci. Comput., 2019

Decay of the Kolmogorov N-width for wave problems.

Constantin Greif, Karsten Urban

Appl. Math. Lett., 2019

A hierarchical a posteriori error estimator for the Reduced Basis Method.

Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban

Adv. Comput. Math., 2019

Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems.

Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

A Variational Formulation for LTI-Systems and Model Reduction.

Moritz Feuerle, Karsten Urban

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2017

Reduced basis methods with adaptive snapshot computations.

Mazen Ali, Kristina Steih, Karsten Urban

Adv. Comput. Math., 2017

2016

An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations.

Sebastian Kestler, Kristina Steih, Karsten Urban

Math. Comput., 2016

2015

Adjoint-Based Optimization for Rigid Body Motion in Multiphase Navier-Stokes Flow.

Julia Springer, Karsten Urban

SIAM J. Sci. Comput., 2015

Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics.

Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban

Adv. Comput. Math., 2015

Reduced Basis Exact Error Estimates with Wavelets.

Mazen Ali, Karsten Urban

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014

On Noncoercive Variational Inequalities.

Silke Glas, Karsten Urban

SIAM J. Numer. Anal., 2014

Comparison of the EM algorithm and alternatives.

Theresa Springer, Karsten Urban

Numer. Algorithms, 2014

An improved error bound for reduced basis approximation of linear parabolic problems.

Karsten Urban, Anthony T. Patera

Math. Comput., 2014

2013

Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen-Loève Expansion.

Bernard Haasdonk, Karsten Urban, Bernhard Wieland

SIAM/ASA J. Uncertain. Quantification, 2013

2012

Adaptive Wavelet Methods on Unbounded Domains.

Sebastian Kestler, Karsten Urban

J. Sci. Comput., 2012

2011

Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept.

Ralf Leidenberger, Karsten Urban

J. Glob. Optim., 2011

2010

Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies.

Timo Tonn, Karsten Urban, Stefan Volkwein

SIAM J. Sci. Comput., 2010

2009

A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs.

Claudio Canuto, Timo Tonn, Karsten Urban

SIAM J. Numer. Anal., 2009

2007

On interpolatory divergence-free wavelets.

Kai Bittner, Karsten Urban

Math. Comput., 2007

2005

Adaptive Optimization of Convex Functionals in Banach Spaces.

Claudio Canuto, Karsten Urban

SIAM J. Numer. Anal., 2005

2003

On Fictitious Domain Formulations for Maxwell's Equations.

Wolfgang Dahmen, Torben Klint, Karsten Urban

Found. Comput. Math., 2003

2002

Wavelets in Numerical Simulation - Problem Adapted Construction and Applications.

Karsten Urban

Lecture Notes in Computational Science and Engineering 22, Springer, ISBN: 978-3-642-56002-6, 2002

Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates.

Stephan Dahlke, Wolfgang Dahmen, Karsten Urban

SIAM J. Numer. Anal., 2002

Divergence-Free Wavelet Analysis of Turbulent Flows.

Cem M. Albukrek, Karsten Urban, Dietmar Rempfer, John L. Lumley

J. Sci. Comput., 2002

2001

Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments.

Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen, Karsten Urban

SIAM J. Sci. Comput., 2001

Wavelet bases in H(div) and H(curl).

Karsten Urban

Math. Comput., 2001

1996

A Wavelet Galerkin Method for the Stokes Equations.

Wolfgang Dahmen, Angela Kunoth, Karsten Urban

Computing, 1996

1995

On divergence-free wavelets.

Karsten Urban

Adv. Comput. Math., 1995