'Interpolating polynomial' presentation slideshows

Chapter 4 Interpolation and Approximation

Chapter 4 Interpolation and Approximation. 4.1 Lagrange Interpolation. The basic interpolation problem can be posed in one of two ways:. Example 4.1. e -1/2. Discussion. The construction presented in this section is called Lagrange interpolation.

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INTERPOLATION

INTERPOLATION. Interpolation produces a function that matches the given data exactly. The function then can be utilized to approximate the data values at intermediate points.

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The Islamic University of Gaza Faculty of Engineering Civil Engineering Department

The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Chapter 18. Interpolation. Introduction. Estimation of intermediate values between precise data points. The most common method is polynomial interpolation:

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Chapter 14 Curve Fitting : Polynomial Interpolation

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Chapter 14 Curve Fitting : Polynomial Interpolation

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 22. Attention: The last homework HW5 and the last project are due on Tuesday November 24!! Last time: Linear regression

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 22. Attention: The last homework HW5 and the last project are due on Tuesday November 24!! Last time: Linear regression

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 22. Attention: The last homework HW5 and the last project are due on Tuesday November 24!! Last time: Linear regression

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Least Squares Regression Chapter 17

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 23. Attention: The last homework HW5 and the last project are due on Tuesday November 24!! Last time: Linear regression versus sample mean. Coefficient of determination

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Curve Fitting and Regression

Curve Fitting and Regression. EEE 244. Descriptive Statistics in MATLAB. MATLAB has several built-in commands to compute and display descriptive statistics. Assuming some column vector s : mean( s ), median( s ), mode( s )

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Scientific Computing

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Interpolation Chapter 18

Interpolation Chapter 18. Interpolation : Estimation of a function value at an intermediate point that lie between precise data points. There is one and only one n th -order polynomial that perfectly fits n+1 data points: There are several methods to find the fitting polynomial:

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Chapter 18

Chapter 18. Interpolation Chapter 18. Estimation of intermediate values between precise data points. The most common method is:

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Chapter 18

Chapter 18. Interpolation Chapter 18. Estimation of intermediate values between precise data points. The most common method is:

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Chapter 3 Interpolation and Polynomial Approximation

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? 3.3 Hermite Interpolation

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Sec:18.2

Sec:18.2. LAGRANGE INTERPOLATING POLYNOMIALS. Sec:18.2 LAGRANGE INTERPOLATING POLYNOMIALS. d eg poly ?. Consider the following polynomial. L(1) =. L(2) =. L(9) =. L(8) =. L(5) =. Define:. Difference ?. Lagrange interpolating polynomial. Sec:18.2 LAGRANGE INTERPOLATING POLYNOMIALS.

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The University of Jordan Mechatronics Engineering Department Dr. Osama M. Al- Habahbeh 2012

The University of Jordan Mechatronics Engineering Department Dr. Osama M. Al- Habahbeh 2012. Example: Estimate the error of the 2 nd order polynomial inter polation. Where x 0 =1 x 1 =4 x 2 =6 x 3 =5 and f(x 0 )=f(1)=0 f(x 1 )=f(4)=1.386 f(x 2 )=f(6)=1.792

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Lecture 16: Polynomial interpolation

Lecture 16: Polynomial interpolation. Download polyfitexample.m. p=polyfit(x,y,n) creates list of interpolating polynomial coefficients of order n polyval(p,x) evaluates interpolating polynomial with coefficients p at x. Script polyfitexample %example of polyfit use x=[ -1 1 2];

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