A Divided Differences Table is a tool used in numerical analysis to systematically calculate coefficients of the Newton polynomial, which is used for polynomial interpolation. It organizes computations efficiently, especially when dealing with unevenly spaced data points, and allows for easy updating of the polynomial when new data points are added.

Divided Differences Table

Numerical analysis is a branch of mathematics that focuses on the development and implementation of algorithms to obtain numerical solutions to mathematical problems that are often too complex for analytical solutions. It is essential in scientific computing, enabling the approximation of solutions for differential equations, optimization problems, and other mathematical models across various fields.

numerical analysis

coefficients of the Newton polynomial

Newton polynomial

Polynomial interpolation is a method of estimating values between known data points by fitting a polynomial that passes through all the given points. It is widely used in numerical analysis and computer graphics for constructing new data points within the range of a discrete set of known data points.

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