Romberg integration: A symbolic approach with mathematica

Yazıcı, Adnan
Ergenc, T
Altas, I
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 underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment.

Citation Formats
A. Yazıcı, T. Ergenc, and I. Altas, “Romberg integration: A symbolic approach with mathematica,” COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS, vol. 2657, pp. 691–700, 2003, Accessed: 00, 2020. [Online]. Available: