An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations W Auzinger, HJ Stetter Numerical Mathematics Singapore 1988: Proceedings of the International …, 1988 | 266 | 1988 |

A collocation code for singular boundary value problems in ordinary differential equations W Auzinger, G Kneisl, O Koch, E Weinmüller Numerical Algorithms 33, 27-39, 2003 | 95 | 2003 |

Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case W Auzinger, R Frank Numerische Mathematik 56, 469-499, 1989 | 70 | 1989 |

Efficient collocation schemes for singular boundary value problems W Auzinger, O Koch, E Weinmüller Numerical Algorithms 31, 5-25, 2002 | 64 | 2002 |

Analysis of a new error estimate for collocation methods applied to singular boundary value problems W Auzinger, O Koch, E Weinmüller SIAM Journal on Numerical Analysis 42 (6), 2366-2386, 2005 | 57 | 2005 |

Iterative solution of large linear systems W Auzinger, J Melenk Lecture notes, TU Wien, 2011 | 41 | 2011 |

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes W Auzinger, H Hofstätter, D Ketcheson, O Koch BIT Numerical Mathematics 57, 55-74, 2017 | 39 | 2017 |

Defect corrections and multigrid iterations W Auzinger, HJ Stetter Multigrid Methods: Proceedings of the Conference Held at Köln-Porz, November …, 2006 | 36 | 2006 |

Modified defect correction algorithms for ODEs. Part I: General theory W Auzinger, H Hofstätter, W Kreuzer, E Weinmüller Numerical Algorithms 36, 135-155, 2004 | 36 | 2004 |

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems W Auzinger, O Koch, M Thalhammer Journal of Computational and Applied Mathematics 255, 384-403, 2014 | 35 | 2014 |

Fast stray field computation on tensor grids L Exl, W Auzinger, S Bance, M Gusenbauer, F Reichel, T Schrefl Journal of computational physics 231 (7), 2840-2850, 2012 | 33 | 2012 |

Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations W Auzinger, E Karner, O Koch, E Weinmuller Opuscula Mathematica 26 (2), 229-241, 2006 | 31 | 2006 |

Local error structures and order conditions in terms of Lie elements for exponential splitting schemes W Auzinger, W Herfort Opuscula Mathematica 34 (2), 243--256, 2014 | 30 | 2014 |

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case W Auzinger, H Hofstätter, O Koch, M Thalhammer Journal of computational and applied mathematics 273, 182-204, 2015 | 29 | 2015 |

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case W Auzinger, O Koch, M Thalhammer Journal of Computational and Applied Mathematics 236 (10), 2643-2659, 2012 | 29 | 2012 |

Asymptotic error expansions for stiff equations: the implicit Euler scheme W Auzinger, R Frank, F Macsek SIAM journal on numerical analysis 27 (1), 67-104, 1990 | 29 | 1990 |

SBVP 1.0–A MATLAB solver for singular boundary value problems W Auzinger, G Kneisl, O Koch, E Weinmüller Institute for Appl. Math. and Numer. Anal., Vienna University of Technology …, 2002 | 27 | 2002 |

Efficient mesh selection for collocation methods applied to singular BVPs W Auzinger, O Koch, E Weinmüller Journal of computational and applied mathematics 180 (1), 213-227, 2005 | 26 | 2005 |

Accurate arithmetic results for decimal data on non-decimal computers W Auzinger, HJ Stetter Computing 35 (2), 141-151, 1985 | 24 | 1985 |

A note on convergence concepts for stiff problems W Auzinger, R Frank, G Kirlinger Computing 44 (3), 197-208, 1990 | 23 | 1990 |