Quadratic Convergence of the Tanh-sinh Quadrature Rule

Borwein, Jonathan M. and Ye, Lingyun (2006) Quadratic Convergence of the Tanh-sinh Quadrature Rule. Mathematics of Computation .

This is the latest version of this item.

Download (245Kb) | Preview


    In practice, the doubly exponential `tanh-sinh' transformation for numerical integration has remarkable effectiveness---even for quite unruly integrands. Our intention in this note is to provide a theoretical underpinning when the integrand is analytic for the observed superlinear convergence of the method.

    Item Type: Article
    Additional Information: pubdom FALSE
    Subjects: 68-xx Computer science > 68Qxx Theory of computing
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 29 Mar 2007
    Last Modified: 26 Feb 2015 15:34

    Available Versions of this Item

    Actions (login required)

    View Item