interpolation & polynomial approximation divided...

Interpolation & Polynomial Approximation Divided Differences Dr. Feras Fraige

Upload: others

Post on 28-Jun-2020

17 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Interpolation & Polynomial Approximation Divided Differences

Dr. Feras Fraige

Page 3: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 4: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 5: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 6: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 7: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 8: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 9: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 10: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Example 1 Complete the divided difference table for the data in Table below, and construct the interpolating polynomial that uses all this data.

Page 11: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 12: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 13: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Knowledge

• Forward Difference • Backward Difference

Page 14: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Page 15: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Forward Difference

Page 16: Interpolation & Polynomial Approximation Divided Differencesfac.ksu.edu.sa/sites/default/files/ch03-2_divided_differences.pdfNewton's divided-difference formula can be expressed in

Backward Difference

ACCURATE COMPUTATION OF DIVIDED DIFFERENCES.(U) MAY ... · One such interpolating polynomial is derivable from Newton's divided difference interpolation formula. Coefficients in this

ENGINEERING MATHEMATICS - All · PDF filedifferences - Newton’s divided difference formula, Lagrange’s interpolation formula and inverse interpolation formula. Numerical integration:

Deegan5e Ch03

Interpolation - IntroductionInterpolation - Introduction Estimation of intermediate values between ... Newton’s Divided-Difference Interpolating Polynomials Linear Interpolation

Mis11e ch03

003 color interpolation - Unictbattiato/EI_MOBILE0708/Color interpolation... · Color Interpolation -Bilinear Interpolation Interpolation of green pixels The average of the upper,

Newton divided difference interpolation

UNIT-II INTERPOLATION & APPROXIMATION...DIVIDED DIFFERNCES 1. Using Newton’s divided difference formula, find given . Solution : By Newton’s divided difference interpolation formula

Scientific Computing Interpolation – Divided Differences Efficiency and Error Analysis

whit38220 ch03

Dk1719 ch03

Ch03 handout

Newton’s Divided Difference Polynomial Method of Interpolation

COMPUTER-BASED NUMERICAL STATISTICAL TECHNIQUES · 4.28 Divided Differences 361 4.29 Properties of Divided Differences 362 4.30 Newton’s General Interpolation Formula or Newton’s

Newton’s Divided Difference Interpolation formula: … › 8a6a › 8ac64117eef262cc11... · 2018-12-27 · Newton’s Divided Difference Interpolation Formula: Newton's Divided

Ch03 Blocking

Ch03 outline

Interpolation & Polynomial Approximation [0.125in]3.625in0 ... · IntroductionNotationNewton’s Polynomial Outline 1 Introduction to Divided Differences 2 The Divided Difference

Kendall7e ch03

Network : Ch03

Chapter 7: Interpolation Topics 7: Interpolation Topics: ... Michael T. Heath Scientiﬁc Computing 4 / 56 Interpolation Polynomial Interpolation Piecewise Polynomial Interpolation

Ross7e ch03

Newton's divided interpolation

On Hermite interpolation and divided differencesFor the Hermite interpolation problem there are n+ 1 conditions, so it is normal to look for a polynomial p n(x) ∈P n, where P n is

Interpolation & Polynomial Approximation [0.125in]3.625in0.02in …mamu/courses/231/Slides/CH03_3A.pdf · 2012-08-02 · Interpolation & Polynomial Approximation Divided Differences:

1 Newton’s Divided Difference Polynomial Method of Interpolation

UNIT II: INTERPOLATION AND APPROXIMATION · a polynomial that satisfies this data using Newton’s divided difference interpolation formula. Hence, find f(6) (Anna Univ. May./June,

Hrm10e ch03

Http://numericalmethods.eng.usf.edu 1 Newton’s Divided Difference Polynomial Method of Interpolation Civil Engineering Majors Authors: Autar Kaw, Jai Paul

[Psy] ch03

Hoffer CH03