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Kernel-independent adaptive construction of H²-matrix approximations

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

Official URL: Volltext

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