Edit Profile (opens in new tab) Urban, Karsten Co-Author Distance Author ID: urban.karsten Published as: Urban, Karsten; Urban, K. Homepage: https://www.uni-ulm.de/mawi/mawi-numerik/mitarbeiter/professoren/urban.html External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 70 Publications since 1995, including 6 Books and 5 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Co-Authors: 74 Co-Authors with 69 Joint Publications 1,734 Co-Co-Authors all top 5 Co-Authors 5 single-authored 8 Dahmen, Wolfgang A. 6 Canuto, Claudio 6 Patera, Anthony T. 5 Glas, Silke 4 Dahlke, Stephan 4 Kunoth, Angela 3 Ali, Mazen 3 Arendt, Wolfgang 3 Greif, Constantin 3 Kiesel, Rüdiger 3 Mayerhofer, Antonia 3 Ohlberger, Mario 3 Rozza, Gianluigi 3 Simoncini, Valeria 3 Tabacco, Anita 3 Tonn, Timo 3 Volkwein, Stefan 2 Benner, Peter 2 Bittner, Kai 2 Feuerle, Moritz 2 Graf Von Luckner, Nikolaus 2 Hain, Stefan 2 Henning, Julian 2 Hochmuth, Reinhard 2 Jester, Philipp 2 Kestler, Sebastian 2 Kolkmann, Sven 2 Kremer, Marcel 2 Menke, Christoph 2 Ostmeier, Lars 2 Palitta, Davide 2 Steih, Kristina 2 Zeeb, Oliver 1 Albukrek, Cem M. 1 Arbes, Florian 1 Bach, Volker 1 Barinka, Arne 1 Barsch, Titus 1 Beranek, Nina 1 Bertoluzza, Silvia 1 Beurer, Emil 1 Brunken, Julia 1 Charton, Philippe 1 Cohen, Albert 1 Ernst, Lewin 1 Falcone, Maurizio 1 Haasdonk, Bernard 1 Harbrecht, Helmut 1 Hinze, Michael 1 Hopfensitz, Michael 1 Junk, Philipp 1 Jürgens, Dirk 1 Kirchner, Kristin 1 Klint, Torben 1 Kovács, Mihály 1 Kutz, J. Nathan 1 Larsson, Stig 1 Leidenberger, Ralf 1 Lumley, John Leask 1 Marquardt, Wolfgang 1 Matutat, Juan C. 1 Mula, Olga 1 Palm, Michael 1 Radic, Mladjan 1 Reich, Niklas 1 Reinhold, Martin Alexander 1 Rempfer, Dietmar 1 Rupp, Andreas 1 Singer, Sebastian 1 Smetana, Kathrin 1 Sorensen, Danny C. 1 Springer, Julia 1 Springer, Theresa 1 Steck, Sebastian 1 von Watzdorf, R. 1 Vorloeper, Jürgen 1 Wieland, Bernhard 1 Yano, Masayuki all top 5 Serials 6 Advances in Computational Mathematics 4 Mathematics of Computation 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific Computing 4 Applied and Computational Harmonic Analysis 2 Journal of Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 IMA Journal of Applied Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Computing 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Optimization and Applications 1 International Journal of Computational Fluid Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Aachener Beiträge zur Mathematik 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Computational Science and Engineering 1 MS&A. Modeling, Simulation and Applications 1 Journal of Mathematics in Industry 1 SIAM/ASA Journal on Uncertainty Quantification 1 Numerical Mathematics and Scientific Computation all top 5 Fields 67 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 6 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Functional analysis (46-XX) 2 Systems theory; control (93-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 843 times in 544 Documents Cited by ▼ Year ▼ Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021 Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten 98 1999 The wavelet element method. I: Construction and analysis. Zbl 0949.42024 Canuto, Claudio; Tabacco, Anita; Urban, Karsten 80 1999 An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129 Urban, Karsten; Patera, Anthony T. 58 2014 Wavelet methods for elliptic partial differential equations. Zbl 1158.65002 Urban, Karsten 40 2009 Decay of the Kolmogorov \(N\)-width for wave problems. Zbl 1423.35242 Greif, Constantin; Urban, Karsten 33 2019 A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157 Urban, Karsten; Patera, Anthony T. 32 2012 The wavelet element method. II: Realization and additional features in 2D and 3D. Zbl 0951.42016 Canuto, Claudio; Tabacco, Anita; Urban, Karsten 28 2000 Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101 Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 28 2002 Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090 Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 27 2001 A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098 Yano, Masayuki; Patera, Anthony T.; Urban, Karsten 27 2014 A wavelet Galerkin method for the Stokes equations. Zbl 0849.65077 Dahmen, W.; Kunoth, A.; Urban, K. 26 1996 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 On divergence-free wavelets. Zbl 0822.42020 Urban, Karsten 23 1995 Reduced basis methods with adaptive snapshot computations. Zbl 1379.65087 Ali, Mazen; Steih, Kristina; Urban, Karsten 21 2017 Adaptive wavelet methods –basic concepts and applications to the Stokes problem. Zbl 1028.65127 Dahmen, Wolfgang; Urban, Karsten; Vorloeper, Jürgen 20 2002 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100 Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 (Parametrized) first order transport equations: realization of optimally stable Petrov-Galerkin methods. Zbl 1428.65077 Brunken, Julia; Smetana, Kathrin; Urban, Karsten 19 2019 A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear PDEs. Zbl 1195.65155 Canuto, Claudio; Tonn, Timo; Urban, Karsten 19 2009 Wavelet bases in \(\mathbf{H}( \text{div})\) and \(\mathbf{H}(\text \textbf{curl})\). Zbl 0963.65155 Urban, Karsten 18 2001 Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045 Tonn, Timo; Urban, K.; Volkwein, S. 15 2011 A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203 Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten 13 2019 On the adaptive computation of integrals of wavelets. Zbl 0981.65134 Bertoluzza, Silvia; Canuto, Claudio; Urban, Karsten 12 2000 Wavelets in numerical analysis and their quantitative properties. Zbl 0937.65146 Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten 10 1997 Adaptive optimization of convex functionals in Banach spaces. Zbl 1081.65053 Canuto, Claudio; Urban, Karsten 10 2005 Wavelets in numerical simulation. Problem adapted construction and applications. Zbl 0998.65147 Urban, Karsten 9 2002 An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. Zbl 1382.65317 Kestler, Sebastian; Steih, Kristina; Urban, Karsten 9 2016 On interpolatory divergence-free wavelets. Zbl 1149.42025 Bittner, Kai; Urban, Karsten 8 2007 Two ways to treat time in reduced basis methods. Zbl 1448.65158 Glas, Silke; Mayerhofer, Antonia; Urban, Karsten 8 2017 Greedy sampling using nonlinear optimization. Zbl 1322.65070 Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver 8 2014 Adaptive wavelet methods using semiorthogonal spline wavelets: Sparse evaluation of nonlinear functions. Zbl 1135.42335 Bittner, Kai; Urban, Karsten 7 2008 Adaptive wavelet methods for saddle point problems. Zbl 0965.65074 Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 7 2000 Divergence-free wavelet analysis of turbulent flows. Zbl 1027.76039 Albukrek, Cem M.; Urban, Karsten; Rempfer, Dietmar; Lumley, John L. 7 2002 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 7 2021 On noncoercive variational inequalities. Zbl 1317.35136 Glas, Silke; Urban, Karsten 6 2014 Adaptive wavelet methods on unbounded domains. Zbl 1272.65047 Kestler, Sebastian; Urban, Karsten 6 2012 Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006 Tonn, Timo; Urban, Karsten; Volkwein, Stefan 5 2010 Numerical optimization of the Voith-Schneider\(^{\circledR}\) propeller. Zbl 1173.76012 Jürgens, Dirk; Palm, Michael; Singer, Sebastian; Urban, Karsten 5 2007 Reduced basis exact error estimates with wavelets. Zbl 1352.65439 Ali, Mazen; Urban, Karsten 5 2016 Numerical solution of elliptic problems by the wavelet element method. Zbl 0968.65094 Canuto, C.; Tabacco, A.; Urban, K. 4 1998 Partial differential equations. An introduction to analytic and numerical methods. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1198.00001 Arendt, Wolfgang; Urban, Karsten 4 2010 A reduced basis method for the wave equation. Zbl 1484.65218 Glas, Silke; Patera, Anthony T.; Urban, Karsten 4 2020 Multiscale methods for the Stokes problem and adapted wavelet bases. (Multiskalenverfahren für das Stokes-Problem und angepaßte Wavelet-Basen.) Zbl 0844.65081 Urban, Karsten 3 1995 Maxwell’s equations for conductors with impedance boundary conditions: discontinuous Galerkin and reduced basis methods. Zbl 1355.35177 Kirchner, Kristin; Urban, Karsten; Zeeb, Oliver 3 2016 HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158 Ali, Mazen; Urban, Karsten 3 2020 Intraday renewable electricity trading: advanced modeling and numerical optimal control. Zbl 1462.49056 Glas, Silke; Kiesel, Rüdiger; Kolkmann, Sven; Kremer, Marcel; Graf Von Luckner, Nikolaus; Ostmeier, Lars; Urban, Karsten; Weber, Christoph 3 2020 An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 3 2022 Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067 Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 2 2000 On wavelet-Galerkin methods for semilinear parabolic equations with additive noise. Zbl 1302.65028 Kovács, Mihály; Larsson, Stig; Urban, Karsten 2 2013 Adjoint-based optimization for rigid body motion in multiphase Navier-Stokes flow. Zbl 1320.35292 Springer, Julia; Urban, Karsten 2 2015 Partial differential equations. An introduction to analytical and numerical methods. Translated from the German by James B. Kennedy. Zbl 1507.35001 Arendt, Wolfgang; Urban, Karsten 2 2023 A reduced basis method for the Hamilton-Jacobi-Bellman equation within the European Union Emission Trading Scheme. Zbl 1404.35099 Steck, Sebastian; Urban, Karsten 2 2018 Wavelet methods for the representation, analysis and simulation of optical surfaces. Zbl 1246.78003 Jester, Philipp; Menke, Christoph; Urban, Karsten 1 2012 Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept. Zbl 1211.90334 Leidenberger, Ralf; Urban, Karsten 1 2011 Comparison of the EM algorithm and alternatives. Zbl 1305.65077 Springer, Theresa; Urban, Karsten 1 2014 On fictitious domain formulations for Maxwell’s equations. Zbl 1023.78009 Dahmen, Wolfgang; Klint, Torben; Urban, Karsten 1 2003 Valuation of structured financial products by adaptive multiwavelet methods in high dimensions. Zbl 1314.91239 Kiesel, Rüdiger; Rupp, Andreas; Urban, Karsten 1 2014 Intraday renewable electricity trading: advanced modeling and optimal control. Zbl 1469.49033 Glas, Silke; Kiesel, Rüdiger; Kolkmann, Sven; Kremer, Marcel; Graf von Luckner, Nikolaus; Ostmeier, Lars; Urban, Karsten; Weber, Christoph 1 2019 Partial differential equations. An introduction to analytic and numerical methods. 2nd edition. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1410.00005 Arendt, Wolfgang; Urban, Karsten 1 2018 Partial differential equations. An introduction to analytical and numerical methods. Translated from the German by James B. Kennedy. Zbl 1507.35001 Arendt, Wolfgang; Urban, Karsten 2 2023 An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 3 2022 Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Zbl 1475.65123 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 7 2021 A reduced basis method for the wave equation. Zbl 1484.65218 Glas, Silke; Patera, Anthony T.; Urban, Karsten 4 2020 HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Zbl 1454.65158 Ali, Mazen; Urban, Karsten 3 2020 Intraday renewable electricity trading: advanced modeling and numerical optimal control. Zbl 1462.49056 Glas, Silke; Kiesel, Rüdiger; Kolkmann, Sven; Kremer, Marcel; Graf Von Luckner, Nikolaus; Ostmeier, Lars; Urban, Karsten; Weber, Christoph 3 2020 Decay of the Kolmogorov \(N\)-width for wave problems. Zbl 1423.35242 Greif, Constantin; Urban, Karsten 33 2019 (Parametrized) first order transport equations: realization of optimally stable Petrov-Galerkin methods. Zbl 1428.65077 Brunken, Julia; Smetana, Kathrin; Urban, Karsten 19 2019 A hierarchical a posteriori error estimator for the reduced basis method. Zbl 1435.65203 Hain, Stefan; Ohlberger, Mario; Radic, Mladjan; Urban, Karsten 13 2019 Intraday renewable electricity trading: advanced modeling and optimal control. Zbl 1469.49033 Glas, Silke; Kiesel, Rüdiger; Kolkmann, Sven; Kremer, Marcel; Graf von Luckner, Nikolaus; Ostmeier, Lars; Urban, Karsten; Weber, Christoph 1 2019 A reduced basis method for the Hamilton-Jacobi-Bellman equation within the European Union Emission Trading Scheme. Zbl 1404.35099 Steck, Sebastian; Urban, Karsten 2 2018 Partial differential equations. An introduction to analytic and numerical methods. 2nd edition. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1410.00005 Arendt, Wolfgang; Urban, Karsten 1 2018 Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001 26 2017 Reduced basis methods with adaptive snapshot computations. Zbl 1379.65087 Ali, Mazen; Steih, Kristina; Urban, Karsten 21 2017 Two ways to treat time in reduced basis methods. Zbl 1448.65158 Glas, Silke; Mayerhofer, Antonia; Urban, Karsten 8 2017 An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. Zbl 1382.65317 Kestler, Sebastian; Steih, Kristina; Urban, Karsten 9 2016 Reduced basis exact error estimates with wavelets. Zbl 1352.65439 Ali, Mazen; Urban, Karsten 5 2016 Maxwell’s equations for conductors with impedance boundary conditions: discontinuous Galerkin and reduced basis methods. Zbl 1355.35177 Kirchner, Kristin; Urban, Karsten; Zeeb, Oliver 3 2016 Adjoint-based optimization for rigid body motion in multiphase Navier-Stokes flow. Zbl 1320.35292 Springer, Julia; Urban, Karsten 2 2015 An improved error bound for reduced basis approximation of linear parabolic problems. Zbl 1320.65129 Urban, Karsten; Patera, Anthony T. 58 2014 A space-time \(hp\)-interpolation-based certified reduced basis method for Burgers’ equation. Zbl 1295.65098 Yano, Masayuki; Patera, Anthony T.; Urban, Karsten 27 2014 Greedy sampling using nonlinear optimization. Zbl 1322.65070 Urban, Karsten; Volkwein, Stefan; Zeeb, Oliver 8 2014 On noncoercive variational inequalities. Zbl 1317.35136 Glas, Silke; Urban, Karsten 6 2014 Comparison of the EM algorithm and alternatives. Zbl 1305.65077 Springer, Theresa; Urban, Karsten 1 2014 Valuation of structured financial products by adaptive multiwavelet methods in high dimensions. Zbl 1314.91239 Kiesel, Rüdiger; Rupp, Andreas; Urban, Karsten 1 2014 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100 Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 On wavelet-Galerkin methods for semilinear parabolic equations with additive noise. Zbl 1302.65028 Kovács, Mihály; Larsson, Stig; Urban, Karsten 2 2013 A new error bound for reduced basis approximation of parabolic partial differential equations. Zbl 1242.35157 Urban, Karsten; Patera, Anthony T. 32 2012 Adaptive wavelet methods on unbounded domains. Zbl 1272.65047 Kestler, Sebastian; Urban, Karsten 6 2012 Wavelet methods for the representation, analysis and simulation of optical surfaces. Zbl 1246.78003 Jester, Philipp; Menke, Christoph; Urban, Karsten 1 2012 Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem. Zbl 1302.49045 Tonn, Timo; Urban, K.; Volkwein, S. 15 2011 Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept. Zbl 1211.90334 Leidenberger, Ralf; Urban, Karsten 1 2011 Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. Zbl 1216.49006 Tonn, Timo; Urban, Karsten; Volkwein, Stefan 5 2010 Partial differential equations. An introduction to analytic and numerical methods. (Partielle Differenzialgleichungen. Eine Einführung in analytische und numerische Methoden.) Zbl 1198.00001 Arendt, Wolfgang; Urban, Karsten 4 2010 Wavelet methods for elliptic partial differential equations. Zbl 1158.65002 Urban, Karsten 40 2009 A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear PDEs. Zbl 1195.65155 Canuto, Claudio; Tonn, Timo; Urban, Karsten 19 2009 Adaptive wavelet methods using semiorthogonal spline wavelets: Sparse evaluation of nonlinear functions. Zbl 1135.42335 Bittner, Kai; Urban, Karsten 7 2008 On interpolatory divergence-free wavelets. Zbl 1149.42025 Bittner, Kai; Urban, Karsten 8 2007 Numerical optimization of the Voith-Schneider\(^{\circledR}\) propeller. Zbl 1173.76012 Jürgens, Dirk; Palm, Michael; Singer, Sebastian; Urban, Karsten 5 2007 Adaptive optimization of convex functionals in Banach spaces. Zbl 1081.65053 Canuto, Claudio; Urban, Karsten 10 2005 On fictitious domain formulations for Maxwell’s equations. Zbl 1023.78009 Dahmen, Wolfgang; Klint, Torben; Urban, Karsten 1 2003 Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101 Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 28 2002 Adaptive wavelet methods –basic concepts and applications to the Stokes problem. Zbl 1028.65127 Dahmen, Wolfgang; Urban, Karsten; Vorloeper, Jürgen 20 2002 Wavelets in numerical simulation. Problem adapted construction and applications. Zbl 0998.65147 Urban, Karsten 9 2002 Divergence-free wavelet analysis of turbulent flows. Zbl 1027.76039 Albukrek, Cem M.; Urban, Karsten; Rempfer, Dietmar; Lumley, John L. 7 2002 Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090 Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten 27 2001 Wavelet bases in \(\mathbf{H}( \text{div})\) and \(\mathbf{H}(\text \textbf{curl})\). Zbl 0963.65155 Urban, Karsten 18 2001 The wavelet element method. II: Realization and additional features in 2D and 3D. Zbl 0951.42016 Canuto, Claudio; Tabacco, Anita; Urban, Karsten 28 2000 On the adaptive computation of integrals of wavelets. Zbl 0981.65134 Bertoluzza, Silvia; Canuto, Claudio; Urban, Karsten 12 2000 Adaptive wavelet methods for saddle point problems. Zbl 0965.65074 Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 7 2000 Convergent adaptive wavelet methods for the Stokes problem. Zbl 0998.76067 Dahlke, Stephan; Hochmuth, Reinhard; Urban, Karsten 2 2000 Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021 Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten 98 1999 The wavelet element method. I: Construction and analysis. Zbl 0949.42024 Canuto, Claudio; Tabacco, Anita; Urban, Karsten 80 1999 Numerical solution of elliptic problems by the wavelet element method. Zbl 0968.65094 Canuto, C.; Tabacco, A.; Urban, K. 4 1998 Wavelets in numerical analysis and their quantitative properties. Zbl 0937.65146 Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten 10 1997 A wavelet Galerkin method for the Stokes equations. Zbl 0849.65077 Dahmen, W.; Kunoth, A.; Urban, K. 26 1996 On divergence-free wavelets. Zbl 0822.42020 Urban, Karsten 23 1995 Multiscale methods for the Stokes problem and adapted wavelet bases. (Multiskalenverfahren für das Stokes-Problem und angepaßte Wavelet-Basen.) Zbl 0844.65081 Urban, Karsten 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 808 Authors 34 Urban, Karsten 23 Stevenson, Rob P. 20 Dahlke, Stephan 20 Rozza, Gianluigi 13 Schwab, Christoph 12 Černá, Dana 12 Dahmen, Wolfgang A. 10 Finěk, Václav 10 Haasdonk, Bernard 9 Fornasier, Massimo 9 Harbrecht, Helmut 9 Kunoth, Angela 9 Patera, Anthony T. 9 Schneider, Reinhold 8 Ohlberger, Mario 7 Ballarin, Francesco 7 Chen, Yanlai 7 Goyal, Kavita 7 Jiang, Yingchun 7 Perrier, Valérie 7 Raasch, Thorsten 7 Taddei, Tommaso 6 Benner, Peter 6 Canuto, Claudio 6 Larsson, Stig 6 Liu, Youming 6 Manzoni, Andrea 6 Mehra, Mani 6 Yano, Masayuki 6 Zhao, Junjian 5 Berrone, Stefano 5 Bertoluzza, Silvia 5 Chen, Xuefeng 5 Glas, Silke 5 Karatzas, Efthymios N. 5 Narayan, Akil C. 5 Reiss, Julius 5 Smetana, Kathrin 5 Stabile, Giovanni 4 Amat Plata, Sergio 4 Bacuta, Constantin 4 Bittner, Kai 4 Chen, Peng 4 Cioica, Petru A. 4 Döhring, Nicolas 4 Führer, Thomas 4 Gantumur, Tsogtgerel 4 Hinze, Michael 4 Hochmuth, Reinhard 4 Jouini, Abdellatif 4 Kinzel, Stefan 4 Luo, Zhendong 4 Maday, Yvon 4 Moncayo, María 4 Neumüller, Martin 4 Nguyen, Ngoc Cuong 4 Nouy, Anthony 4 Peherstorfer, Benjamin 4 Quarteroni, Alfio M. 4 Reichmann, Oleg 4 Rui, Hongxing 4 Sharma, Deepika 4 Simoncini, Valeria 4 Song, Junpeng 4 Tabacco, Anita 4 Xiang, Jiawei 3 Ali, Mazen 3 Arendt, Wolfgang 3 Buchfink, Patrick 3 Carlberg, Kevin T. 3 Chegini, Nabi G. 3 Chung, Tsz Shun Eric 3 Cohen, Albert 3 Deriaz, Erwan 3 Efendiev, Yalchin R. 3 Feng, Lihong 3 Friedrich, Ulrich 3 Grepl, Martin A. 3 Gunzburger, Max D. 3 Harouna, Souleymane Kadri 3 He, Zhengjia 3 Jiang, Jiahua 3 Keil, Tim 3 Kestler, Sebastian 3 Kovács, Mihály 3 Krah, Philipp 3 Langer, Ulrich 3 Lemarié-Rieusset, Pierre Gilles 3 Lindner, Felix 3 Matthies, Hermann Georg 3 Michelle, Michelle 3 Panja, Madan Mohan 3 Parish, Eric J. 3 Petersen, Philipp Christian 3 Primbs, Miriam 3 Raslan, Mones 3 Rave, Stephan David 3 Rekatsinas, Nikolaos 3 Ritter, Klaus 3 Schilling, René Leander ...and 708 more Authors all top 5 Cited in 137 Serials 33 Journal of Computational Physics 30 SIAM Journal on Scientific Computing 28 Advances in Computational Mathematics 25 Mathematics of Computation 24 Journal of Computational and Applied Mathematics 22 Journal of Scientific Computing 20 Computer Methods in Applied Mechanics and Engineering 20 Applied Mathematics and Computation 15 Applied and Computational Harmonic Analysis 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 International Journal of Wavelets, Multiresolution and Information Processing 12 Numerische Mathematik 9 SIAM Journal on Numerical Analysis 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Computers & Mathematics with Applications 8 Applied Numerical Mathematics 7 Numerical Algorithms 7 SIAM/ASA Journal on Uncertainty Quantification 5 Computers and Fluids 5 Mathematics and Computers in Simulation 5 Numerical Functional Analysis and Optimization 5 Journal of Inequalities and Applications 5 Multiscale Modeling & Simulation 4 International Journal for Numerical Methods in Engineering 4 Results in Mathematics 4 Numerical Methods for Partial Differential Equations 4 Foundations of Computational Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Approximation Theory 3 Constructive Approximation 3 Computational Mechanics 3 Applied Mathematics Letters 3 The Journal of Fourier Analysis and Applications 3 International Journal of Computational Fluid Dynamics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Methods in Applied Mathematics 3 Oberwolfach Reports 3 SIAM Journal on Financial Mathematics 3 International Journal of Applied and Computational Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Calcolo 2 Computing 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Journal of Complexity 2 Journal of Integral Equations and Applications 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 SIAM Review 2 Computational Optimization and Applications 2 Communications in Numerical Methods in Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Analysis and Applications (Singapore) 2 International Journal of Computational Methods 2 Acta Numerica 2 Communications in Computational Physics 2 Journal of Mathematics in Industry 2 Axioms 1 Applicable Analysis 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Applied Mathematics and Optimization 1 BIT 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Semigroup Forum 1 Optimal Control Applications & Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Computer Aided Geometric Design 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Journal of Global Optimization 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 SIAM Journal on Mathematical Analysis 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Experimental Mathematics 1 Potential Analysis 1 Journal of Computer and Systems Sciences International 1 Physics of Fluids 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Bulletin des Sciences Mathématiques 1 Applied Mathematical Finance 1 Engineering Analysis with Boundary Elements ...and 37 more Serials all top 5 Cited in 40 Fields 461 Numerical analysis (65-XX) 209 Partial differential equations (35-XX) 82 Fluid mechanics (76-XX) 81 Harmonic analysis on Euclidean spaces (42-XX) 52 Approximations and expansions (41-XX) 35 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 31 Mechanics of deformable solids (74-XX) 28 Operator theory (47-XX) 23 Functional analysis (46-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Computer science (68-XX) 16 Optics, electromagnetic theory (78-XX) 16 Systems theory; control (93-XX) 15 Statistics (62-XX) 14 Operations research, mathematical programming (90-XX) 13 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Biology and other natural sciences (92-XX) 8 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year