Karsten Urban - RankMe

46 papers Journal 42Unranked 3

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A posteriori certification for physics-informed neural networks. CoRR Lewin Ernst, Nikolaos Rekatsinas, Karsten Urban
2025	J	`jnl`	A unified framework for the analysis, numerical approximation and model reduction of linear operator equations, Part I: Well-posedness in space and time. CoRR Moritz Feuerle, Richard Löscher, Olaf Steinbach, Karsten Urban
2025	J	`jnl`	Fractional differential equations: non-constant coefficients, simulation and model reduction. CoRR Rubén Aylwin, Göksu Oruc, Karsten Urban
2025	J	`jnl`	The Kolmogorov N-width for linear transport: exact representation and the influence of the data. Adv. Comput. Math. Florian Arbes, Constantin Greif, Karsten Urban
2024	J	`jnl`	A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results. CoRR Niklas Reich, Karsten Urban, Jürgen Vorloeper
2024	J	`jnl`	An ultra-weak space-time variational formulation for the Schrödinger equation. J. Complex. Stefan Hain, Karsten Urban
2023	J	`jnl`	A space-time variational method for optimal control problems: well-posedness, stability and numerical solution. Comput. Optim. Appl. Nina Beranek, Martin Alexander Reinhold, Karsten Urban
2023	J	`jnl`	The Kolmogorov N-width for linear transport: Exact representation and the influence of the data. CoRR Florian Arbes, Constantin Greif, Karsten Urban
2022	J	`jnl`	A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations. CoRR Lewin Ernst, Karsten Urban
2022	J	`jnl`	An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation. CoRR Stefan Hain, Karsten Urban
2022	J	`jnl`	An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations. Frontiers Appl. Math. Stat. Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban
2022	J	`jnl`	An ultraweak variational method for parameterized linear differential-algebraic equations. CoRR Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban
2022	J	`jnl`	Linear/Ridge expansions: enhancing linear approximations by ridge functions. Adv. Comput. Math. Constantin Greif, Philipp Junk, Karsten Urban
2021	J	`jnl`	Linear/Ridge expansions: Enhancing linear approximations by ridge functions. CoRR Constantin Greif, Philipp Junk, Karsten Urban
2021	J	`jnl`	Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. CoRR Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
2020	J	`jnl`	A Space-Time Variational Method for Optimal Control Problems. CoRR Nina Beranek, M. Alexander Reinhold, Karsten Urban
2020	J	`jnl`	HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Adv. Comput. Math. Mazen Ali, Karsten Urban
2019	J	`jnl`	(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods. SIAM J. Sci. Comput. Julia Brunken, Kathrin Smetana, Karsten Urban
2019	—	`conf`	A Variational Formulation for LTI-Systems and Model Reduction. ENUMATH Moritz Feuerle, Karsten Urban
2019	J	`jnl`	A hierarchical a posteriori error estimator for the Reduced Basis Method. Adv. Comput. Math. Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban
2019	J	`jnl`	Decay of the Kolmogorov N-width for wave problems. Appl. Math. Lett. Constantin Greif, Karsten Urban
2019	—	`conf`	Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. ENUMATH Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
2019	J	`jnl`	Matrix oriented reduction of space-time Petrov-Galerkin variational problems. CoRR Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
2017	J	`jnl`	Reduced basis methods with adaptive snapshot computations. Adv. Comput. Math. Mazen Ali, Kristina Steih, Karsten Urban
2016	J	`jnl`	An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. Math. Comput. Sebastian Kestler, Kristina Steih, Karsten Urban
2015	J	`jnl`	Adjoint-Based Optimization for Rigid Body Motion in Multiphase Navier-Stokes Flow. SIAM J. Sci. Comput. Julia Springer, Karsten Urban
2015	J	`jnl`	Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban
2015	—	`conf`	Reduced Basis Exact Error Estimates with Wavelets. ENUMATH Mazen Ali, Karsten Urban
2014	J	`jnl`	An improved error bound for reduced basis approximation of linear parabolic problems. Math. Comput. Karsten Urban, Anthony T. Patera
2014	J	`jnl`	Comparison of the EM algorithm and alternatives. Numer. Algorithms Theresa Springer, Karsten Urban
2014	J	`jnl`	On Noncoercive Variational Inequalities. SIAM J. Numer. Anal. Silke Glas, Karsten Urban
2013	J	`jnl`	Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen-Loève Expansion. SIAM/ASA J. Uncertain. Quantification Bernard Haasdonk, Karsten Urban, Bernhard Wieland
2012	J	`jnl`	Adaptive Wavelet Methods on Unbounded Domains. J. Sci. Comput. Sebastian Kestler, Karsten Urban
2011	J	`jnl`	Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept. J. Glob. Optim. Ralf Leidenberger, Karsten Urban
2010	J	`jnl`	Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies. SIAM J. Sci. Comput. Timo Tonn, Karsten Urban, Stefan Volkwein
2009	J	`jnl`	A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs. SIAM J. Numer. Anal. Claudio Canuto, Timo Tonn, Karsten Urban
2007	J	`jnl`	On interpolatory divergence-free wavelets. Math. Comput. Kai Bittner, Karsten Urban
2005	J	`jnl`	Adaptive Optimization of Convex Functionals in Banach Spaces. SIAM J. Numer. Anal. Claudio Canuto, Karsten Urban
2003	J	`jnl`	On Fictitious Domain Formulations for Maxwell's Equations. Found. Comput. Math. Wolfgang Dahmen, Torben Klint, Karsten Urban
2002	J	`jnl`	Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates. SIAM J. Numer. Anal. Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
2002	J	`jnl`	Divergence-Free Wavelet Analysis of Turbulent Flows. J. Sci. Comput. Cem M. Albukrek, Karsten Urban, Dietmar Rempfer, John L. Lumley
2002	—	`book`	Wavelets in Numerical Simulation - Problem Adapted Construction and Applications. Karsten Urban
2001	J	`jnl`	Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments. SIAM J. Sci. Comput. Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
2001	J	`jnl`	Wavelet bases in H(div) and H(curl). Math. Comput. Karsten Urban
1996	J	`jnl`	A Wavelet Galerkin Method for the Stokes Equations. Computing Wolfgang Dahmen, Angela Kunoth, Karsten Urban
1995	J	`jnl`	On divergence-free wavelets. Adv. Comput. Math. Karsten Urban