Journal article icon

Journal article

Fast spectral Galerkin method for logarithmic singular equations on a segment

Abstract:
We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractional Sobolev spaces He−1/2 (or H−1/200 ). Main tools are the approximation properties of the discretization basis, the construction of a suitable Hilbert scale for weighted L2-spaces and local regularity estimates. Numerical experiments are provided to validate our claims.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Publisher copy:
10.4208/jcm.1612-m2016-0495

Authors


Jerez-Hanckes, C More by this author
Nicaise, S More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
ORCID:
0000-0003-0055-6175
Publisher:
Global Science Press Publisher's website
Journal:
Journal of Computational Mathematics Journal website
Volume:
36
Issue:
1
Pages:
128-158
Publication date:
2017-10-11
Acceptance date:
2016-12-05
DOI:
EISSN:
1991-7139
ISSN:
0254-9409
Pubs id:
pubs:957481
URN:
uri:7e85ec4f-3a8f-4d0f-bd68-3fc914a6fe8e
UUID:
uuid:7e85ec4f-3a8f-4d0f-bd68-3fc914a6fe8e
Local pid:
pubs:957481

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP