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Suppose that M=N1(h) +k1h+k2h2+k3h3+... where the kjs do not depend on h.The following table of approximations to M was generated using Richardson Extrapolation, calculate the
Suppose that M=N1(h) +k1h+k2h2+k3h3+... where the kjs do not depend on h.The following table of approximations to M was generated using Richardson Extrapolation, calculate the missing entries (N1(h/2),N2(h), andN3(h/2)).
O(h) | O(h^2) | O(h^3) | O(h^4) | |
h | 2 | ? | 1.1333 | 1.2476 |
h/2 | ? | 1.1 | ? | |
h/4 | 1.3 | 1.2 | ||
h/8 | 1.25 |
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