TY - JOUR
T1 - Convergence acceleration as a computational assignment
AU - Gal-Ezer, Judith
AU - Zwas, Gideon
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1987
Y1 - 1987
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84910758475&partnerID=8YFLogxK
U2 - 10.1080/0020739870180103
DO - 10.1080/0020739870180103
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AN - SCOPUS:84910758475
SN - 0020-739X
VL - 18
SP - 15
EP - 28
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
IS - 1
ER -