Numerical Analysis Questions
Interpolation and extrapolation are both techniques used in numerical analysis, but they differ in their application and purpose.
Interpolation is the process of estimating values within a given set of data points. It involves constructing a function or curve that passes through the known data points, allowing for the estimation of values at intermediate points. Interpolation is used when we want to estimate values within the range of the given data.
Extrapolation, on the other hand, is the process of estimating values outside the range of the given data points. It involves extending the known function or curve beyond the given data points to estimate values at points that lie outside the range. Extrapolation is used when we want to predict or estimate values beyond the known data range.
In summary, interpolation is used to estimate values within the given data range, while extrapolation is used to estimate values outside the given data range.