QUADS

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QUADS

• By Rudie Shahinian

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fcnt and minl in QUADR

• fcnt number of times function is evaluated.
• minl shortest panel length used

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fcnt and minl in QUADR

• Combine fcnt and minl from both sides

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Simpsons Rule
Derived from weighted average of Rectangle
Rule And Trapezoid Rule. (Explained in class
notes)
Doubling the number of panels in Simpsons rule
can be expected to reduce the error by roughly
the factor of 1/16.
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QUADS
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QUADS
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QUADR vs. QUADS

• QUADS should be more efficient since esterr is
  1/15 as opposed to 1/3
• Test with sqrt(x)
• Test with intervals 0,bi, 0ltilt100
• Efficiency measured by the number of times f is
  evaluated (fcnt)

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QUADR vs. QUADS
QUADS
QUADR