A stable Nyström interpolant for some Mellin convolution equations

Numerical Algorithms

Volumn 11, Issue 1, 1996, Pages 271-283

  Monegato, Giovanni ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344463096     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02142502     Document Type: Article

References (21)

1. K.E. Atkinson and F.R. de Hoog, The numerical solution of Laplace's equation on a wedge, IMA J. Numer. Anal. 4 (1984) 19-41.
2. C. Bernardi and Y. Maday, Polynomial approximation of some singular functions, Appl. Anal. 42 (1991) 1-32.
3. G.A. Chandler, Superconvergent approximations to the solution of a boundary integral equation on polygonal domains, SIAM J. Numer. Anal. 23 (1986) 1214-1229.
4. G.A. Chandler and I.G. Graham, Uniform convergence of Galerkin solutions to noncompact integral operator equations, IMA J. Numer. Anal. 7 (1987) 327-334.
5. G.A. Chandler and I.G. Graham, Product integration-collocation methods for noncompact integral operator equations, Math. Comp. 50 (1988) 125-138.
6. G.A. Chandler and I.G. Graham, Higher order methods for linear functionals of solution of second kind integral equations, SIAM J. Numer. Anal. 25 (1988) 1118-1137.
7. 1 polynomial approximations, SIAM J. Numer. Anal. 21 (1984) 400-412.
8. R. Duduchava, Integral Equations with Fixed Singularities, Teubner-Texte zur Mathematik (Teubner, Leipzig, 1979).
9. D. Elliott and D.F. Paget, Product-integration rules and their convergence, BIT 16 (1976) 32-40.
10. J. Elschner, On spline approximation for a class of non-compact integral equations, Math. Nachr. 146 (1990) 271-321.
11. G. Mastroianni and G. Monegato, Nyström interpolants based on the zeros of Legendre polynomials, IMA J. Numer. Anal. 14 (1993) 81-95.
12. G. Mastroianni, Generalized Christoffel functions and error of positive quadrature formulae, to appear.
13. G. Monegato and A. Palamara Orsi, Product formulas for Fredholm integral equations with rational kernel functions, in: Numerical Integration III, ISNM 85, eds. E. Brass and G. Hämmerlin (Birkhäuser, Basel) pp. 140-156.
14. G. Monegato and S. Prössdorf, On the numerical treatment of an integral equation arising from a cruciform crack problem, Math. Meth. Appl. Sci. 12 (1990) 489-502.
15. S. Prössdorf and B. Silbermann, Numerical Analysis for Integral and Related Operator Equations (Birkhäuser, Basel, 1991).
16. C. Schwab and M. Suri, The optimal p-version approximation of singularities on polyhedra in the boundary element method, to appear in SIAM J. Numer. Anal.
17. I.H. Sloan, Analysis of general quadrature methods for integral equations of the second kind, Numer. Math. 38 (1981) 263-278.
18. I.H. Sloan and W.E. Smith, Properties of interpolatory product integration rules, SIAM J. Numer. Anal. 19 (1982) 427-442.
19. M.P. Stallybrass, A pressurized crack in the form of a cross, Quart. J. Mech. Appl. Math. 23 (1970) 35-48.
20. G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq., vol. 23 (American Mathematical Society, Providence, RI, 1975).
21. C. Schwab, private communication.