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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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Develop a formula for the third order Richardson approximation of the integral based on the Composite Trapezoidal Rule. For that, start from an assumption that the Composite Trapezoidal Rule S(h) satisfies the following error expansion, 0.99 1 dx - S(h) = c2h² + cзh³ + ... Use ideas of Section 4.2 to derive the third order Richardson approximation M3(h) = S(h/2) + 1 S(h/2) - S(h) 3

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