'Divided differences' diaporamas de présentation

Chapter: 4 Curve Fitting

Chapter: 4 Curve Fitting. Dr. Asaf Varol asvarol@mail.wvu.edu. 4.1 Introduction. Many engineering problems require a functional relationship (curve) among one or more independent variables and a dependent variable for a given set of data points, say ( x i , y i ) for i = 1, 2, 3, ...

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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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Curve-Fitting Polynomial Interpolation

Curve-Fitting Polynomial Interpolation. Curve Fitting. Regression Linear Regression Polynomial Regression Multiple Linear Regression Non-linear Regression Interpolation Newton's Divided-Difference Interpolation Lagrange Interpolating Polynomials Spline Interpolation.

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Scientific Computing

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Numerical Computation

Numerical Computation. Lecture 11: Polynomial Interpolation United International College. Review. Polynomial Interpolation : Given data {(y k ,x k )}, find polynomial P(x) such that P(x k )= y k Lagrange Interpolation Newton Interpolation 1. P 0 (x) = y 0

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Roots of Non-Linear Equations (Recap): f ( x ) = 0

Roots of Non-Linear Equations (Recap): f ( x ) = 0 f may be a function belonging to any class: algebraic, trigonometric, hyperbolic, polynomials, logarithmic, exponential, etc. Five types of methods can broadly be classified: Graphical method Bracketing methods: Bisection, Regula- Falsi

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