Quadrature methods for integral equations of the second kind over infinite intervals

Author:
Ian H. Sloan

Journal:
Math. Comp. **36** (1981), 511-523

MSC:
Primary 65R20; Secondary 45B05

DOI:
https://doi.org/10.1090/S0025-5718-1981-0606510-2

MathSciNet review:
606510

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Abstract | References | Similar Articles | Additional Information

Abstract: Convergence results are proved for a class of quadrature methods for integral equations of the form . An important special case is the Nyström method, in which the integral term is approximated by an ordinary quadrature rule. For all of the methods considered here, the rate of convergence is the same, apart from a constant factor, as that of the quadrature approximation to the integral term.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1981-0606510-2

Keywords:
Integral equation,
Fredholm equation,
equation of the second kind,
infinite interval,
Nyström method,
quadrature method

Article copyright:
© Copyright 1981
American Mathematical Society