## Title data

Bauer, Maximilian ; Bebendorf, Mario ; Feist, Bernd:

**Kernel-independent adaptive construction of H²-matrix approximations.**

*In:* Numerische Mathematik.
Vol. 150
(2022)
Issue 1
.
- pp. 1-32.

ISSN 0029-599X

DOI: https://doi.org/10.1007/s00211-021-01255-y

## Abstract in another language

A method for the kernel-independent construction of H²-matrix approximations to non-local operators is proposed.

Special attention is paid to the adaptive construction of nested bases. As a side result, new error

estimates for adaptive cross approximation~(ACA) are presented which have implications on the pivoting strategy of ACA.

## Further data

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

Refereed: | Yes |

Keywords: | non-local operators; adaptive cross approximation; H²-matrices; interpolation |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Scientific Computing > Chair Scientific Computing - Univ.-Prof. Dr. Mario Bebendorf 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 Scientific Computing |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 31 Jan 2022 08:29 |

Last Modified: | 17 Mar 2022 09:30 |

URI: | https://eref.uni-bayreuth.de/id/eprint/68534 |