To study the accuracy of cubic spline interpolation, use a package program to construct interpolating splines to y=e^x on 0 ≤x ≤1. Use evenly spaced nodes on [0,1] to generate the data, say, with 10,20 , and 40 subdivisions. Then check the accuracy of the spline function at four times that many points. Do this for (a) the cubic natural interpolating spline function, and (b) the spline satisfying (4.71) or (4.72). Discuss your results. How does the error behave as the number of subdivisions is do
To study the accuracy of cubic spline interpolation, use a packag…
Feb 26, 2022
numerade.com
32 simple cases of natural cubic spline a describe explicitly the natural cubic spline that interpolates table with only two entries here t1 are the knots give formula for the spline b w 30451
32 simple cases of natural cubic spline a describe explicitly the nat…
Apr 30, 2022
numerade.com
Using the development of the cubic splines as a model, derive the appropriate equations and algorithm to provide a quadratic spline interpolant to data (ti, yi) for 0 ≤i ≤n, where t0<t1<⋯<tn . If Q is the spline interpolant, then the numbers zi=Q^'(ti) are well defined. Find the equations governing z0, z1, …, zn. You should discover that one of the z points can be arbitrary, say z0=0. | Numerade
Using the development of the cubic splines as a model, derive the app…
Sep 19, 2020
numerade.com
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