Linear interpolant is the straight line between the two known co-ordinate points (x0, y0) and (x1, y1). Here is the online linear interpolation calculator for you to determine the linear interpolated values of a set of data points within fractions of seconds.

1. Polynomial Interpolation Excel
2. Linear Interpolation Calc
3. Lagrange Polynomial Interpolation

Polynomial InterpolationDescriptionCalculate the interpolated polynomial of specified data points. This produces a polynomial of degree n, where n is one less than the number of data points.Enter a list of data points.−5 , 5 , ⁢ 0 , 2 , ⁢ 4 , 0− 5 , 5 , 0 , 2 , 4 , 0(1)Specify the independent variable, and then calculate the interpolated polynomial.p ⁢:= ⁢ CurveFitting PolynomialInterpolation , ⁢ xp:= 1 90 ⁢ x 2 − 49 90 ⁢ x + 2(2)Commands UsedSee Also.

Polynomial Interpolation Excel

App Preview: Direct Method of Polynomial Interpolation.Direct Method of Polynomial Interpolation2003 Nathan Collier, Autar Kaw, Jai Paul, Michael Keteltas, University of South Florida, kaw@eng.usf.edu, This worksheet demonstrates the use of Maple to illustrate the direct method of interpolation. We limit this worksheet to using first, second, and third order polynomials.IntroductionThe direct method of interpolation (for detailed explanation, you can read the, and see a is based on the following.Given 'n+1' data points of y vs. X form, fit a polynomial of order 'n' as given below(1)through the data, where are real constants.

Linear Interpolation Calc

Lagrange Polynomial Interpolation

Since 'n+1' values of y are given at 'n+1' values of x, one can write 'n+1' equations. Then the 'n+1' constants can be found by solving the 'n+1' simultaneous linear equations. To find the interpolated value of 'y' at a given value of 'x', simply substitute the value of 'x' in equation (1).Since the number of data points may be more than you need for a particular order of interpolation, one has to first pick the needed data points, and then one can use the chosen points to interpolate the data.restart;with(LinearAlgebra):Section I: Input Data.The following is the array of x-y data which is used to interpolate. It is obtained from the of velocity of rocket (y-values) vs. Time (x-values) data.

We are asked to find the velocity at an intermediate point of x=16.xy:=10.,227.04,0.,0.,20.,517.35,15.,362.78,30.,901.67,22.5,602.97:Value of X at which Y is desiredxdesired:=16:Section II: Big scary functions.n:=nops(xy):for i from 1 to n doxi:=xyi,1;yi:=xyi,2;end do:The following function considers the x data and selects those data points which are close to the desired x value. The closeness is based on the least absolute difference between the x data values and the desired x value. This function selects the two closest data points that bracket the desired value of x. It first picks the closest data point to the desired x value. It then checks if this value is less than or greater than the desired value.