### Abstract

Adaptive stepsize control is used to control the local errors of the numerical solution. For optimization purposes smoother stepsize controllers are wanted, such that the errors and stepsizes also behave smoothly. We consider approaches from digital linear control theory applied to multistep BDF-methods.

Original language | English |
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Title of host publication | Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004) |

Editors | A. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 199-203 |

ISBN (Print) | 3-540-28073-1 |

DOIs | |

Publication status | Published - 2006 |

### Publication series

Name | Mathematics in Industry |
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Volume | 8 |

ISSN (Print) | 1612-3956 |

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## Cite this

Verhoeven, A., Beelen, T. G. J., Hautus, M. L. J., & Maten, ter, E. J. W. (2006). Digital linear control theory applied to automatic stepsize control in electrical circuit simulation. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.),

*Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)*(pp. 199-203). (Mathematics in Industry; Vol. 8). Springer. https://doi.org/10.1007/3-540-28073-1_28