Numerical Integration

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Simpson’s 1/3 Code -Output n=2, I(trap)=1.0688, I(simp)=1.36747 n=4, I(trap)=1.4848, I(simp)=1.62347 n=6, I(trap)=1.57027, I(simp)=1.63716 n=8, I(trap)=1.6008, I(simp)=1.63947 n=10, I(trap)=1.61504, I(simp)=1.6401 n=12, I(trap)=1.62281, I(simp)=1.64032 n=14, I(trap)=1.6275, I(simp)=1.64042 n=16, I(trap)=1.63055, I(simp)=1.64047 © 2003-2006 Roberto Muscedere 32
Page 1 and 2: Numerical Integration • Newton-Co
Page 3 and 4: Trapezoidal Rule • Trapezoidal Ru
Page 5 and 6: Trapezoidal Rule • Same result if
Page 7 and 8: Trapezoidal Rule: Example f (0) = 0
Page 9 and 10: Trapezoidal Rule • Add a series o
Page 11 and 12: • Grouping the terms: Trapezoidal
Page 13 and 14: Trapezoidal Rule: Example f (0) = 0
Page 15 and 16: Trapezoidal Code (p.2) double Integ
Page 17 and 18: Trapezoidal Code -Output n=1, I=0.1
Page 19 and 20: Simpson’s 1/3 Rule ( x − x1 )(
Page 21 and 22: Simpson’s 1/3 Rule: Example • N
Page 23 and 24: Simpson’s 1/3 Rule • Add a seri
Page 25 and 26: Simpson’s 1/3 Rule • Grouping t
Page 27 and 28: I f Simpson’s 1/3 Rule: Example (
Page 29 and 30: Simpson’s 1/3 Code (p.2) double I
Page 31: Simpson’s 1/3 Code (p.4) double F

Numerical Integration

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