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Local interpolation methods differ from global ones by using only a small subset $n$ of the total $m$ available data points to compute the value at a specific grid point. Global methods, by contrast, typically use all $m$ data points to construct a single continuous function for the entire domain.

Conditions: The method is a local interpolation technique.; The total number of available data points is $m$.; The number of points in the local subset is $n$, where $n < m$.

Local interpolation methods differ from global ones by using only a small subset $n$ of the total $m$ available data points to compute the value at a specific grid point. Global methods, by contrast, typically use all $m$ data points to construct a single continuous function for the entire domain.

Conditions: The method is a local interpolation technique.; The total number of available data points is $m$.; The number of points in the local subset is $n$, where $n < m$.