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 | 395 | 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 | 260 | 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 | 260 | 1999 |

Wavelet methods for elliptic partial differential equations K Urban Oxford university press, 2009 | 146 | 2009 |

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 | 114 | 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 | 112 | 2000 |

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 | 99 | 2002 |

An improved error bound for reduced basis approximation of linear parabolic problems K Urban, A Patera Mathematics of Computation 83 (288), 1599-1615, 2014 | 97 | 2014 |

A wavelet Galerkin method for the Stokes equations W Dahmen, A Kunoth, K Urban Computing 56 (3), 259-301, 1996 | 91 | 1996 |

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 | 84 | 2010 |

Wavelet bases for H (div) and H (curl) K Urban Wavelets in Numerical Simulation, 83-107, 2002 | 80 | 2002 |

Partielle differenzialgleichungen W Arendt, K Urban Spektrum Akademischer Verlag, 2010 | 73* | 2010 |

On divergence-free wavelets K Urban Advances in Computational Mathematics 4 (1), 51, 1995 | 69 | 1995 |

Partielle differenzialgleichungen W Arendt, K Urban Spektrum Akademischer Verlag, 2010 | 66 | 2010 |

Wavelets in numerical simulation: problem adapted construction and applications K Urban Springer Science & Business Media, 2012 | 64 | 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 | 63 | 2009 |

A new error bound for reduced basis approximation of parabolic partial differential equations K Urban, AT Patera Comptes Rendus Mathematique 350 (3-4), 203-207, 2012 | 61 | 2012 |

Adaptive wavelet methods on unbounded domains S Kestler, K Urban Journal of Scientific Computing 53 (2), 342-376, 2012 | 60 | 2012 |

Comparison of the reduced-basis and POD *a posteriori* error estimators for an elliptic linear-quadratic optimal control problemT Tonn, K Urban, S Volkwein Mathematical and Computer Modelling of Dynamical Systems 17 (4), 355-369, 2011 | 57 | 2011 |

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 | 54 | 2014 |