Stability of the Nyström Method for the Sherman–Lauricella Equation
Författare
Summary, in English
The stability of the Nyström method for the Sherman–Lauricella equation on piecewise smooth closed simple contour $\Gamma$ is studied. It is shown that in the space $L_2$ the method is stable if and only if certain operators associated with the corner points of $\Gamma$ are invertible. If $\Gamma$ does not have corner points, the method is always stable. Numerical experiments show the transformation of solutions when the unit circle is continuously transformed into the unit square, and then into various rhombuses. Examples also show an excellent convergence of the method.
Avdelning/ar
- Matematik LTH
- Harmonic Analysis and Applications
- eSSENCE: The e-Science Collaboration
Publiceringsår
2011
Språk
Engelska
Sidor
1127-1148
Publikation/Tidskrift/Serie
SIAM Journal on Numerical Analysis
Volym
49
Issue
3
Fulltext
- Available as PDF - 719 kB
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Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Society for Industrial and Applied Mathematics
Ämne
- Mathematics
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
- Harmonic Analysis and Applications
ISBN/ISSN/Övrigt
- ISSN: 0036-1429