Superconvergent Nyström and degenerate kernel methods for eigenvalue problems

The Nyström and degenerate kernel methods, based on projections at Gauss points onto the space of (discontinuous) piecewise polynomials of degree ⩽ r - 1 , for the approximate solution of eigenvalue problems for an integral operator with a smooth kernel, exhibit order 2 r . We propose new superconve...

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Veröffentlicht in:	Applied mathematics and computation 2011-06, Vol.217 (20), p.7851-7866
Hauptverfasser:	Alouch, C., Sablonnière, P., Sbibih, D., Tahrichi, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Degenerate kernel method Eigenvalue problem Exact sciences and technology Integral equations Mathematical analysis Mathematics Nonlinear algebraic and transcendental equations Numerical Analysis Numerical analysis. Scientific computation Numerical linear algebra Nyström method Operator theory Sciences and techniques of general use
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