Journal article
Convergence of a linearly transformed particle method for aggregation equations
- Abstract:
- We study a linearly transformed particle method for the aggregation equation with smooth or singular interaction forces. For the smooth interaction forces, we provide convergence estimates in L1 and L∞ norms depending on the regularity of the initial data. Moreover, we give convergence estimates in bounded Lipschitz distance for measure valued solutions. For singular interaction forces, we establish the convergence of the error between the approximated and exact flows up to the existence time of the solutions in L1∩Lp norm.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, 1.6MB)
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- Publisher copy:
- 10.1007/s00211-018-0958-2
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Authors
Funding
Bibliographic Details
- Publisher:
- Springer Verlag Publisher's website
- Journal:
- Numerische Mathematik Journal website
- Volume:
- 139
- Issue:
- 4
- Pages:
- 743-793
- Publication date:
- 2018-04-11
- Acceptance date:
- 2018-02-24
- DOI:
- EISSN:
-
0945-3245
- ISSN:
-
0029-599X
- Pmid:
-
30147150
Item Description
- Language:
- English
- Pubs id:
-
1098246
- Local pid:
- pubs:1098246
- Deposit date:
- 2020-04-07
Terms of use
- Copyright holder:
- Pinto et al.
- Copyright date:
- 2018
- Rights statement:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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