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Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations

In: Approximation and Computation

Author

Listed:
  • G. Monegato

    (Politecnico di Torino)

  • L. Scuderi

    (Politecnico di Torino)

Abstract

Several quadrature rules for the numerical integration of smooth (nonoscillatory) functions, defined on the real (positive) semiaxis or on the real axis and decaying algebraically at infinity, are examined. Among those considered for the real axis, four alternative numerical approaches are new. The advantages and the drawbacks of each of them are pointed out through several numerical tests, either on the computation of a single integral or on the numerical solution of some integral equations.

Suggested Citation

  • G. Monegato & L. Scuderi, 2010. "Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations," Springer Optimization and Its Applications, in: Walter Gautschi & Giuseppe Mastroianni & Themistocles M. Rassias (ed.), Approximation and Computation, pages 185-208, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-6594-3_13
    DOI: 10.1007/978-1-4419-6594-3_13
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