Browsing by Author "Ergenç, Tanıl"

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    Romberg Integration: a Symbolic Approach With Mathematica
    (2003) Yazıcı, Ali; Ergenç, Tanıl; Altaş, İrfan
    Higher order approximations of an integral can be obtained from lower order ones in a systematic way. For 1-D integrals Romberg Integration is an example which is based upon the composite trapezoidal rule and the well-known Euler-Maclaurin expansion of the error. In this work, Mathematica is utilized to illustrate the method and the under lying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment.