Romberg integration: A symbolic approach with mathematica


Yazici A., Ergenc T., Altas I.

COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS, vol.2657, pp.691-700, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2657
  • Publication Date: 2003
  • Title of Journal : COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS
  • Page Numbers: pp.691-700

Abstract

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.