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2004 ASME Curriculum Innovation Award |
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BACKGROUND |
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What is Interpolation? [PDF] [DOC] History of Interpolation [PDF] [DOC] Test your knowledge on background of interpolation [HTML] [PDF] [DOC]
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PHYSICAL PROBLEM |
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Find the thermal expansion coefficient of steel at a specific temperature to find out whether a steel shaft will cool down enough to shrink fit into a hollow hub. The thermal expansion coefficient is to be found by using interpolation from a given table of thermal expansion coefficient of steel as a function of temperature. [PDF] [DOC]
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NUMERICAL METHOD |
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How does the direct method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
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How does the Newton's divided difference polynomial method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
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How does the Lagrange method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
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How does the spline method work? [PDF] [DOC] A Power point presentation [PDF] [PPT] Simulations of the method [PDF] [MFILE] Test your knowledge of the method [HTML] [PDF] [DOC]
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ANECDOTES |
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The lurking dangers of extrapolation! [PDF] [DOC] [MFILE] [PDF] Why is higher order interpolation is a bad idea? [PDF] [DOC] [MFILE] [PDF] Comparison of spline and polynomial interpolation. [PDF] [DOC] [MFILE] [PDF] How choice of points of interpolation affects approximations! [PDF] [DOC] [MFILE] [PDF] How splines can help in developing a shorter path for a robot! [PDF] [DOC] [MFILE] [PDF] |
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