论文信息 - Sinc Quadratures for Cauchy Principal Value Integrals

Sinc Quadratures for Cauchy Principal Value Integrals

Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫Γ F(t)dt/(t –x), x ∈ Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order , where N is the number of quadrature nodes and c is a positive constant independent of N. Special consideration is given to SINC quadratures for Cauchy principal value integrals over (—∞, ∞), (0, ∞), and (—1, 1).

Bernard Bialecki | B. Bialecki

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