Newton methods for nonlinear problems. Affine invariance and adaptive algorithms P Deuflhard Springer, 2011 | 1750* | 2011 |

Numerische Mathematik 1: eine algorithmisch orientierte Einführung P Deuflhard, A Hohmann Walter de Gruyter GmbH & Co KG, 2019 | 1094* | 2019 |

A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting P Deuflhard Numerische Mathematik 22, 289-315, 1974 | 645 | 1974 |

One-step and extrapolation methods for differential-algebraic systems P Deuflhard, E Hairer, J Zugck Numerische Mathematik 51, 501-516, 1987 | 637 | 1987 |

Robust Perron cluster analysis in conformation dynamics P Deuflhard, M Weber Linear algebra and its applications 398, 161-184, 2005 | 531 | 2005 |

Scientific computing with ordinary differential equations P Deuflhard, F Bornemann Springer Science & Business Media, 2012 | 486 | 2012 |

A direct approach to conformational dynamics based on hybrid Monte Carlo C Schütte, A Fischer, W Huisinga, P Deuflhard Journal of Computational Physics 151 (1), 146-168, 1999 | 460 | 1999 |

A semi-implicit mid-point rule for stiff systems of ordinary differential equations G Bader, P Deuflhard Numer. Math. 41, 373-398, 1983 | 454 | 1983 |

Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains P Deuflhard, W Huisinga, A Fischer, C Schütte Linear Algebra and its Applications 315 (1-3), 39-59, 2000 | 436 | 2000 |

Concepts of an adaptive hierarchical finite element code P Deuflhard, P Leinen, H Yserentant IMPACT of Computing in Science and Engineering 1 (1), 3-35, 1989 | 397 | 1989 |

Recent progress in extrapolation methods for ordinary differential equations P Deuflhard SIAM review 27 (4), 505-535, 1985 | 373 | 1985 |

Affine invariant convergence theorems for Newton’s method and extensions to related methods P Deuflhard, G Heindl SIAM Journal on Numerical Analysis 16 (1), 1-10, 1979 | 353 | 1979 |

The cascadic multigrid method for elliptic problems FA Bornemann, P Deuflhard Numerische Mathematik 75, 135-152, 1996 | 309 | 1996 |

Order and stepsize control in extrapolation methods P Deuflhard Numerische Mathematik 41, 399-422, 1983 | 291 | 1983 |

Numerical Analysis in Modern Scientific Computing: an Introduction P Deuflhard, A Hohmann Walter de Gruyter GmbH & Co KG, 2003 | 239 | 2003 |

Extrapolation integrators for quasilinear implicit ODEs P Deuflhard, U Nowak Large Scale Scientific Computing 7, 37-50, 1987 | 199 | 1987 |

Simulation studies promote technological development of radiofrequency phased array hyperthermia P Wust, M Seebass, J Nadobny, P Deuflhard, G Mönich, R Felix International Journal of Hyperthermia 25 (7), 517-528, 2009 | 191 | 2009 |

Adaptivity in space and time for reaction-diffusion systems in electrocardiology P Colli Franzone, P Deuflhard, B Erdmann, J Lang, LF Pavarino SIAM Journal on Scientific Computing 28 (3), 942-962, 2006 | 170 | 2006 |

A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions P Deuflhard, HW Engl, O Scherzer Inverse problems 14 (5), 1081, 1998 | 162 | 1998 |

A stepsize control for continuation methods and its special application to multiple shooting techniques P Deuflhard Numerische Mathematik 33, 115-146, 1979 | 150 | 1979 |