## Title data

Grüne, Lars ; Metscher, Martin ; Ohlberger, Mario:

**On Numerical Algorithm and Interactive Visualization for Optimal Control Problems.**

*In:* Computing and Visualization in Science.
Vol. 1
(1999)
Issue 4
.
- pp. 221-229.

ISSN 1433-0369

DOI: https://doi.org/10.1007/s007910050020

## Related URLs

## Abstract in another language

We present methods for the visualization of the numerical solution of optimal control problems. The solution is based on dynamic programming techniques where the corresponding optimal value function is approximated on an adaptively refined grid. This approximation is then used in order to compute approximately optimal solution trajectories. We discuss requirements for the efficient visualization of both the optimal value functions and the optimal trajectories and develop graphic routines that in particular support adaptive, hierarchical grid structures, interactivity and animation. Several implementational aspects using the Graphics Programming Environment 'GRAPE' are discussed.

## Further data

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

Refereed: | Yes |

Keywords: | algorithm; visualization; optimal control; dynamic programming; optimal solution trajectories |

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: | 19 Feb 2021 07:27 |

Last Modified: | 06 May 2021 11:38 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63215 |