应用数学和力学(英文版)
應用數學和力學(英文版)
응용수학화역학(영문판)
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2002年
12期
1407-1412
,共6页
ancient Chinese mathematics%Jiuzhang Suanshu (Nine Chapters)%Newton iteration method%Duffing eqtation
An exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Sbu,in about 2 nd century BC, known as the rule of double false position in the West is given.In addition to pointing out that the rule of double false position is actually a translationversion of the ancient Chinese algorithm, a comparison with well-known Newton iterationmethod is also made. If derivative is introduced, the ancient Chinese algorithm reduces totle Newton method. A modification of the ancient Chinese algorithm is also proposed, andsome of applications to nonlinear oscillators are illustrated.
