- 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
- Files:
-
-
(, 0.0b)
-
- Publisher copy:
- 10.1007/s00211-018-0958-2
-
Version unsuitable
-
We have not obtained a suitable full-text for a given research output. See this page for more information.
-
Recently completed
-
Sometimes content is held in ORA but is unavailable for a fixed period of time to comply with the policies and wishes of rights holders.
-
Permissions
-
All content made available in ORA should comply with relevant rights, such as copyright. See this page for more information.
-
Clearance
-
Some thesis volumes scanned as part of the digitisation scheme funded by Dr Leonard Polonsky are currently unavailable due to sensitive material or uncleared third-party copyright content. We are attempting to contact authors whose theses are affected.
- 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
- Pubs id:
-
1098246
- Local pid:
- pubs:1098246
- Language:
- English
- Format:
- Print-Electronic
- 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.
- License:
- CC Attribution (CC BY)
Journal article
Convergence of a linearly transformed particle method for aggregation equations
Actions
Access Document
Why is the content I wish to access not available via ORA?
Bibliographic data (the information relating to research outputs) and full-text items (e.g. articles, theses, reports, etc.) arrive in ORA from several different sources. Unfortunately we are not able to make available the full-text for every research output.
Please contact the ORA team (
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
Content may be unavailable for the following four reasons
Alternative access to the full-text
You may be able to access the full-text directly from the publisher's website using the 'Publisher Copy' link in the 'Links & Downloads' box from a research output's ORA record page. This method may require an institutional or individual subscription to the journal/resource.
Authors
Funding
Bibliographic Details
Item Description
Terms of use
Metrics
Altmetrics
Dimensions
If you are the owner of this record, you can report an update to it here: Report update to this record