Journal article
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
- Abstract:
-
Rational approximations of functions with singularities can converge at a root-exponential rate if the poles are exponentially clustered. We begin by reviewing this effect in minimax, least-squares, and AAA approximations on intervals and complex domains, conformal mapping, and the numerical solution of Laplace, Helmholtz, and biharmonic equations by the “lightning” method. Extensive and wide-ranging numerical experiments are involved. We then present further experiments giving evidence that ...
Expand abstract
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Accepted manuscript, 1.4MB)
-
- Publisher copy:
- 10.1007/s00211-020-01168-2
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
-
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.
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
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Numerische Mathematik Journal website
- Volume:
- 147
- Issue:
- 1
- Pages:
- 227-254
- Publication date:
- 2021-01-02
- Acceptance date:
- 2020-11-17
- DOI:
- EISSN:
-
0945-3245
- ISSN:
-
0029-599X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1123281
- Local pid:
- pubs:1123281
- Deposit date:
- 2020-11-20
Terms of use
- Copyright holder:
- Trefethen et al.
- Copyright date:
- 2020
- Rights statement:
- © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021.
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Springer at https://doi.org/10.1007/s00211-020-01168-2
If you are the owner of this record, you can report an update to it here: Report update to this record