Ch4_1 - Next Previous Section 4.1 Linear Interpolation ®...

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Unformatted text preview: Next Previous Section 4.1: Linear Interpolation ® Used when an exact solution is not available ® Can be used for algebraic and differential equations ® Can also be used to extrapolate tabular data ® Elementary Numerical Techniques ® Linear interpolation ® Elementary statistics ® Linear regression ® Root finding ® Numerical integration Section 4.1: Linear Interpolation 11 Chapter 4.0: Numerical Methods Next Previous Section 4.1: Linear Interpolation ® Used with discrete tabular data ® Assumes linear behavior between data points ® Allows determination of data not listed in table ® The general formula evolves from the equation for straight line ® Generally is used where one property is assumed to be a function of another ® e.g. x = f(y) or y = f(x) ® Can also apply when there is a tabular interdependence of more than two properties Section 4.1: Linear Interpolation 22 Section 4.1: Linear Interpolation Next Previous Section 4.1: Linear Interpolation Section 4.1: Linear Interpolation 33 ® Apply equation of a straight line: y = mx + b ® Equate slopes to determine the value of yinterp for corresponding xinterp that is bounded by...
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Ch4_1 - Next Previous Section 4.1 Linear Interpolation ®...

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