Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ... Journal of Computational Physics 231 (20), 6770-6789, 2012 | 202 | 2012 |

Error analysis of exponential integrators for oscillatory second-order differential equations V Grimm, M Hochbruck Journal of Physics A: Mathematical and General 39 (19), 5495, 2006 | 97 | 2006 |

Residual, restarting, and Richardson iteration for the matrix exponential MA Botchev, V Grimm, M Hochbruck SIAM journal on scientific computing 35 (3), A1376-A1397, 2013 | 59 | 2013 |

On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations V Grimm Numerische Mathematik 100 (1), 71-89, 2005 | 50 | 2005 |

A note on the Gautschi-type method for oscillatory second-order differential equations V Grimm Numerische Mathematik 102 (1), 61-66, 2005 | 37 | 2005 |

Rational approximation to trigonometric operators V Grimm, M Hochbruck BIT Numerical Mathematics 48 (2), 215-229, 2008 | 32 | 2008 |

Resolvent Krylov subspace approximation to operator functions V Grimm BIT Numerical Mathematics 52 (3), 639-659, 2012 | 26 | 2012 |

On the use of the Gautschi-type exponential integrator for wave equations V Grimm Numerical mathematics and advanced applications, 557-563, 2006 | 24 | 2006 |

Geometric integration methods that preserve Lyapunov functions V Grimm, GRW Quispel BIT Numerical Mathematics 45 (4), 709-723, 2005 | 22 | 2005 |

Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators T Göckler, V Grimm SIAM Journal on Numerical Analysis 51 (4), 2189--2213, 2013 | 21 | 2013 |

Uniform Approximation of -Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles T Göckler, V Grimm SIAM Journal on Matrix Analysis and Applications 35 (4), 1467-1489, 2014 | 17 | 2014 |

Approximation of semigroups and related operator functions by resolvent series V Grimm, M Gugat SIAM journal on numerical analysis 48 (5), 1826-1845, 2010 | 16 | 2010 |

Discrete gradient methods for solving variational image regularisation models V Grimm, RI McLachlan, DI McLaren, GRW Quispel, CB Schönlieb Journal of Physics A: Mathematical and Theoretical 50 (29), 295201, 2017 | 14* | 2017 |

Exponentielle integratoren als lange-Zeitschritt-Verfahren für oszillatorische Differentialgleichungen zweiter Ordnung V Grimm Doktorarbeit, Mathematisches Institut, Universität Düsseldorf, Germany, 2002 | 13 | 2002 |

Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations S Buchholz, L Gauckler, V Grimm, M Hochbruck, T Jahnke IMA Journal of Numerical Analysis 38 (1), 57-74, 2018 | 12 | 2018 |

Optimal boundary control of the wave equation with pointwise control constraints M Gugat, V Grimm Computational Optimization and Applications 49 (1), 123-147, 2011 | 8 | 2011 |

A generalized W-transformation for constructing symplectic partitioned Runge-Kutta methods V Grimm, R Scherer BIT Numerical Mathematics 43 (1), 57-66, 2003 | 7 | 2003 |

A higher‐order PDE‐based image registration approach V Grimm, S Henn, K Witsch Numerical Linear Algebra with Applications 13 (5), 399-417, 2006 | 5 | 2006 |

Acceleration of contour integration techniques by rational Krylov subspace methods T Göckler, V Grimm Journal of Computational and Applied Mathematics 316, 133-142, 2017 | 1 | 2017 |

Automatic Smoothness Detection of the Resolvent Krylov Subspace Method for the Approximation of -Semigroups V Grimm, T Göckler SIAM Journal on Numerical Analysis 55 (3), 1483-1504, 2017 | 1 | 2017 |