## Title data

Grüne, Lars ; Kloeden, Peter E.:

**Higher order numerical schemes for affinely controlled nonlinear systems.**

*In:* Numerische Mathematik.
Vol. 89
(October 2001)
Issue 4
.
- pp. 669-690.

ISSN 0029-599X

DOI: https://doi.org/10.1007/s002110000279

## Abstract in another language

A systematic method for the derivation of high order schemes for affinely controlled nonlinear systems is developed. Using an adaptation of the stochastic Taylor expansion for control systems we construct Taylor schemes of arbitrary high order and indicate how derivative free Runge-Kutta type schemes can be obtained. Furthermore an approximation technique for the multiple control integrals appearing in the schemes is proposed.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Affinely controlled nonlinear systems; Stochastic Taylor expansion; Fliess expansion; Numerical Taylor schemes; Runge-Kutta schemes |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 23 Feb 2021 09:42 |

Last Modified: | 23 Mar 2021 09:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63326 |