Biorthogonal spline wavelets on the interval—stability and moment conditions W Dahmen, A Kunoth, K Urban Applied and computational harmonic analysis 6 (2), 132-196, 1999 | 451 | 1999 |
The wavelet element method: part I. construction and analysis C Canuto, A Tabacco, K Urban Applied and Computational Harmonic Analysis 6 (1), 1-52, 1999 | 287 | 1999 |
Wavelet methods for elliptic partial differential equations K Urban OUP Oxford, 2008 | 193 | 2008 |
An improved error bound for reduced basis approximation of linear parabolic problems K Urban, A Patera Mathematics of Computation 83 (288), 1599-1615, 2014 | 167 | 2014 |
Decay of the Kolmogorov N-width for wave problems C Greif, K Urban Applied Mathematics Letters 96, 216-222, 2019 | 143 | 2019 |
Adaptive wavelet schemes for elliptic problems---Implementation and numerical experiments A Barinka, T Barsch, P Charton, A Cohen, S Dahlke, W Dahmen, K Urban SIAM Journal on scientific computing 23 (3), 910-939, 2001 | 126 | 2001 |
The wavelet element method part ii. realization and additional features in 2d and 3d C Canuto, A Tabacco, K Urban Applied and Computational Harmonic Analysis 8 (2), 123-165, 2000 | 123 | 2000 |
Model reduction of parametrized systems P Benner, M Ohlberger, A Patera, G Rozza, K Urban Springer International Publishing, 2017 | 120 | 2017 |
A coupled pressure based solution algorithm based on the volume-of-fluid approach for two or more immiscible fluids K Kissling, J Springer, H Jasak, S Schutz, K Urban, M Piesche Proceedings of the V European Conference on Computational Fluid Dynamics …, 2010 | 119 | 2010 |
Adaptive wavelet methods for saddle point problems---Optimal convergence rates S Dahlke, W Dahmen, K Urban SIAM Journal on Numerical Analysis 40 (4), 1230-1262, 2002 | 112 | 2002 |
A wavelet Galerkin method for the Stokes equations W Dahmen, A Kunoth, K Urban Computing 56 (3), 259-302, 1996 | 103 | 1996 |
Partielle differenzialgleichungen W Arendt, K Urban Spektrum Akademischer Verlag, 2010 | 101 | 2010 |
A new error bound for reduced basis approximation of parabolic partial differential equations K Urban, AT Patera Comptes Rendus. Mathématique 350 (3-4), 203-207, 2012 | 97 | 2012 |
A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear PDEs C Canuto, T Tonn, K Urban SIAM Journal on Numerical Analysis 47 (3), 2001-2022, 2009 | 93 | 2009 |
Wavelet Bases for H(div) and H(curl) K Urban, K Urban Wavelets in Numerical Simulation: Problem Adapted Construction and …, 2002 | 93 | 2002 |
A space-time hp-interpolation-based certified reduced basis method for Burgers' equation M Yano, AT Patera, K Urban Mathematical Models and Methods in Applied Sciences 24 (09), 1903-1935, 2014 | 87 | 2014 |
Wavelets in numerical simulation: problem adapted construction and applications K Urban Springer Science & Business Media, 2012 | 78 | 2012 |
On divergence-free wavelets K Urban Advances in Computational Mathematics 4 (1), 51-81, 1995 | 78 | 1995 |
Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem T Tonn, K Urban, S Volkwein Mathematical and Computer Modelling of Dynamical Systems 17 (4), 355-369, 2011 | 69 | 2011 |
Adaptive wavelet methods on unbounded domains S Kestler, K Urban Journal of Scientific Computing 53, 342-376, 2012 | 60 | 2012 |