Romberg integration: A symbolic approach with mathematica


Yazici A., Ergenc T., Altas I.

COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS, cilt.2657, ss.691-700, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 2657
  • Basım Tarihi: 2003
  • Dergi Adı: COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS
  • Sayfa Sayıları: ss.691-700

Özet

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.