Online calculator: The Newton Polynomial Interpolation
planetcalc.com › 9023The _k_th divided difference also can be expressed as: That last form is used in the calculator. In the Newton interpolation, additional basis polynomials and the corresponding coefficients can be calculated when more data points are to be used, and all existing basis polynomials and their coefficients remain unchanged.
Divided differences - Wikipedia
https://en.wikipedia.org/wiki/Divided_differencesIn mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. Divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form.
Newton's Divided Difference Interpolation Formula - GeeksforGeeks
www.geeksforgeeks.org › newtons-divided-differenceAug 13, 2019 · Divided differences are symmetric with respect to the arguments i.e independent of the order of arguments. so, f [x0, x1]=f [x1, x0] f [x0, x1, x2]=f [x2, x1, x0]=f [x1, x2, x0] By using first divided difference, second divided difference as so on .A table is formed which is called the divided difference table. Divided difference table:
Newton's Divided Difference Formula
https://math.iitm.ac.in/public_html/sryedida/caimna/interpolation/nddf.htmlComputing divided differences using divided difference table: Let us consider the points (x1, f1), (x2, f2), (x3, f3)and (x4, f4)where x1, x2, x3and x4are not necessarily equi-distant points then the divided difference table can be written as xi fi f [xi, xj] f [xi, xj, xk] f [xi, xj, xk, xl] x1 f1 x2 f2 f [x2, x3] - f [x1, x2] f [x1, x2,x3]