Product integration for weakly singular integral equations

Mathematics of Computation

Volumn 36, Issue 153, 1981, Pages 207-213

  Schneider, Claus ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966223417     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1981-0595053-0     Document Type: Article

References (15)

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4. P. L. Auer, C. S. Gardner, "Note on singular integral equations of the Kirkwood-Riseman type," J. Chem. Phys., v. 23, 1955, p. 1545-1546.
5. P. L. Auer, C. S. Gardner, "Solution of the Kirkwood-Riseman integral equation in the asymptotic limit," J. Chem. Phys., v. 23, 1955, p. 1546-1547.
6. G. A. Chandler, Superconvergence of Numerical Solutions to Second Kind Integral Equations, Thesis, Australian National University, Canberra, 1979.
7. F. de Hoog, R. Weiss, "Asymptotic expansions for product integration," Math. Comp., v. 27, 1973, p. 295-306.
8. L. M. Delves, J. Walsh, Numerical Solution of Integral Equations, Clarendon Press, Oxford, 1974.
9. E. Hopf, Mathematical Problems of Radiative Equilibrium, Stechert-Hafner Service Agency, New York, 1964.
10. H. G. Kaper, R. B. Kellogg, "Asymptotic behavior of the solution of the integral transport equation in slab geometry," SIAM J. Appl. Math., v. 32, 1977, p. 191-200.
11. J. Pitkaranta, "On the differential properties of solutions to Fredholm equations with weakly singular kernels," J. Inst. Math. Appl., v. 24, 1979, p. 109-119.
12. J. R. Rice, "On the degree of convergence of nonlinear spline approximation," in Approximations with Special Emphasis on Spline Functions (I. J. Schoenberg, Ed.), Academic Press, New York, 1969, p. 349-365.
13. G. R. Richter, "On weakly singular Fredholm integral equations with displacement kernels," J. Math. Anal. Appl., v. 55, 1976, p. 32-42.
14. C. Schneider, Beitrage zur numerischen Behandlung schwachsingulerer Fredholmscher Integralgleichungen zweiter Art, Thesis, Johannes Gutenberg-Universitat, Mainz, 1977.
15. C. Schneider, "Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind," Integral Equations Operator Theory, v. 2, 1979, p. 62-68.