AMME2960 NOTES.docx - 1.2 INTERPOLATION To interpolate the shape of a graph with given points either a piece-wise constant\/piece-wise linear method can

AMME2960 NOTES.docx - 1.2 INTERPOLATION To interpolate the...

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1.2 INTERPOLATION To interpolate the shape of a graph with given points, either a piece-wise constant/piece-wise linear method can be used. However, this is not very accurate. Drawing a polynomial graph is much more accurate. However, high degree polynomials, which give more accuracy, produce more errors as well. Hence, we can draw several lower-order polynomials. However, drawing various polynomial graphs will be fine for integration/interpolation, but not for differentiation since at the points connecting these graphs, the gradient is not valid (abrupt breaks)
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