The modified trapezoidal rule for line integrals

H. I. Siyyam, M. I. Syam

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Although the predictor-corrector curve tracing method has found a wide variety of significant applications, the calculation of line integrals over implicitly defined curves seems to have been overlooked. In this paper, we present two modified numerical integration techniques, namely, the modified trapezoidal and the modified Romberg rules and results of some numerical experiments for evaluating the line integral of a vector field over an implicitly defined curve. Moreover, we give a proof of an asymptotic error expansion for a modified trapezoidal rule which is a modification of that of Verlinden and Cools [8].

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of Computational and Applied Mathematics
Issue number1
Publication statusPublished - Oct 21 1997
Externally publishedYes


  • Continuation methods
  • Implicitly defined curve
  • Modified Romberg scheme
  • Modified trapezoidal rule
  • Stopping criterion

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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