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Kernel-independent adaptive construction of H²-matrix approximations

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00006055
URN to cite this document: urn:nbn:de:bvb:703-epub-6055-8

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

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Abstract

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
Keywords: non-local operators; adaptive cross approximation; H²-matrices; interpolation
DDC Subjects: 500 Science > 510 Mathematics
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-6055-8
Date Deposited: 17 Mar 2022 09:30
Last Modified: 17 Mar 2022 09:30
URI: https://epub.uni-bayreuth.de/id/eprint/6055

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