Browsing by Author "Ergenç,T."
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Article Citation Count: 0Romberg integration: A symbolic approach with mathematica(Springer Verlag, 2003) Yazıcı, Ali; Ergenç, Tanıl; Altas,I.; Mathematics; Software EngineeringHigher 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 underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment. © Springer-Verlag Berlin Heidelberg 2003.