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Second order Chebyshev methods based on orthogonal polynomials

✍ Scribed by Assyr Abdulle; Alexei A. Medovikov

Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
335 KB
Volume
90
Category
Article
ISSN
0029-599X

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✍ J. ArvesΓΊ; R. Álvarez-Nodarse; F. MarcellΓ‘n; K. Pan πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 975 KB

We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Q~} associated with the inner product /' {p,q) = p(x)q(x)p(x)dx+A,p(l)q(1)+B,p(-1)q(-1)+A2p'(1)q'(1)+B2p'(-l)q'(-l), I where p(x)= (I -x)~(1 + xf is the Jacobi weight function, e, ~> -1, A l, BI, A2, B2/>0 and p, q E P, th