초록

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Abstract ▼ AI-Helper

The problem of polynomial interpolation and approximate differentiation for function of several independent variables are important but the methods are less well developed than in case of a single variable. We shall not dwell on higher dimensions but shall show how to construct appropriate polynom...

The problem of polynomial interpolation and approximate differentiation for function of several independent variables are important but the methods are less well developed than in case of a single variable. We shall not dwell on higher dimensions but shall show how to construct appropriate polynomials when the points of interpolation are arbitarily chosen. For simplicity, first we begin with the problem for four given points and for six given points which are arbitarily spaced. We discuss here those interpolating polynomials which use the most common form of the interpolating polynomial for arbitarily spaced base points forming rectangular array.