Class Notes (809,279)
Lecture 18

# 2E03 Lecture 18 - Ch.18 Interpolation.pdf

3 Pages
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School
McMaster University
Department
Civil Engineering
Course
CIVENG 2I03
Professor
Cameron Churchill
Semester
Winter

Description
fie 18.1 Ch is Interpolation Estimation of intermediate values bw precise daa The most common mahed 8- I an X There is one and only one 01h ade third-order cubic econd-order onnodina 2. LD all examptes interpoldina nomials o deteom on consist unique nomi Theme ace can be The The Lagrange nomial 40 compute an Inter meldte lues fie 18.1 Ch is Interpolation Estimation of intermediate values bw precise daa The most common mahed 8- I an X There is one and only one 01h ade third-order cubic econd-order onnodina 2. LD all examptes interpoldina nomials o deteom on consist unique nomi Theme ace can be The The Lagrange nomial 40 compute an Inter meldte lues18, //Newho s Divided-O;fference Tnterplating Rlynomials Sel.i || Linear Taterpelot7an can nechna ha aaa pibs iul a straight line t f,(x)-Rx) a f(xi)-f(ao) "X-Xo XI -Ko which can be rearten ed_4v-yield Yield: f(x)', f(ra) + f(x)-f(r) (7-X) lpwhere fi (x) is a first-erber interpoloting μhanoenid f (x) Fi d)8.2 Gapheral depidon of liner ideodoAvon fall 18.i.z || Gucdrahe Inte(folahon lpTr 3ds at used e ve een frt a curved line. 4c4headas wing us a reasonable interaldon Jake, ーーーicterpolation一一daive.一一一一 (eshmire improve!) fz(x): be + bi(X-Xe) tbz-x) ("X-제)
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