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Huang, Chieh-Sen - Department of Applied Mathematics, National Sun Yat-sen University
Numerical Analysis Answers to Assignment #1 1. PROGRAM (in fortran)
Answers to Assignment #7 1. We must have
Numerical Analysis Answers to Assignment #8 1. (a) If n is even, then T (2=n) is the trapezoidal rule applied to [{1,0] plus the trape-
Numerical Analysis Answers to Assignment #2 1. (i) Here, x n is computed by
Assignment #7 Let s 1 (x) = 1 + c(x + 1) 3 , \Gamma1 x 0, where c is a (real) parameter. Determine s 2 (x)
Numerical Analysis Answers to Assignment #10 1. (a) Since by assumption f (d+1) is continuous only for d = 0, we must compute the
Numerical Analysis Answers to Assignment #5 1. (a) We have
Answers to Assignment #6 1. Let T n (x) = x n \Gamma t n\Gamma1 (x) be the monic Chebyshev polynomial of degree n. Since
Numerical Analysis Answers to Assignment #3 1. Differentiating [(a)] n \Gamma ae \Gamma(a) j 0 with respect to a gives
Numerical Analysis Answers to Assignment #9 1. (a) Use the Gauss quadrature rule and the fact that k ` 2 P 2n 2 for k; ` =
CORRECTIONS W. Gautschi, ``Numerical analysis: an introduction'', Birkhauser,
Assignment #8 1. Consider the integral I =
12.6 Polar Coordinates Consider Poisson's equation on the unit disk.