Question: Romberg algorithm and Gauss-Legendre Quadrature (a) Use Rombergs algorithm to evaluate the elliptical integral E(0.5) The exact result is E(k) ? 1.467 462 209 Use

Romberg algorithm and Gauss-Legendre Quadrature

(a) Use Rombergs algorithm to evaluate the elliptical integral E(0.5) Romberg algorithm and Gauss-Legendre Quadrature (a) Use Rombergs algorithm to evaluate the The exact result is E(k) ? 1.467 462 209

Use results from the composite trapezoid rule with up to eight subintervals.

b) Evaluate E(k) using the Gauss-Legendre quadrature with N = 3 points.

E(k) sqrt (1 (ka)sin 2t)dt

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