Convergence acceleration as a computational assignment

Judith Gal-Ezer, Gideon Zwas

Research output: Contribution to journalArticlepeer-review


This article treats methods of accelerating the convergence of infinite series, in a way appropriate for a mathematical-educational laboratory. The acceleration methods of Kummer and Euler as well as a method based on an approximate recursion relation are presented, using only rudimentary concepts from calculus. The actual reduction of the number of terms needed to achieve a desired accuracy is vividly demonstrated via runs on a typical laboratory microcomputer.

Original languageEnglish
Pages (from-to)15-28
Number of pages14
JournalInternational Journal of Mathematical Education in Science and Technology
Issue number1
StatePublished - 1987


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