gibson:teaching:fall-2016:math753:quadrature
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gibson:teaching:fall-2016:math753:quadrature [2016/11/17 06:59] gibson [Simpson's Rule] |
gibson:teaching:fall-2016:math753:quadrature [2016/11/17 07:04] (current) gibson |
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| \int_a^b f(x) \, dx = \frac{h}{3} \left(y_0 + 4y_1 + 2y_2 + 4y_3 + 2y_4 + 4y_5 + y_6 \right) + O(h^4) | \int_a^b f(x) \, dx = \frac{h}{3} \left(y_0 + 4y_1 + 2y_2 + 4y_3 + 2y_4 + 4y_5 + y_6 \right) + O(h^4) | ||
| \end{equation*} | \end{equation*} | ||
| + | |||
| + | |||
| + | === Further reading === | ||
| + | |||
| + | * [[https://en.wikipedia.org/wiki/Trapezoidal_rule|Trapezoidal rule]] (wikipedia) | ||
| + | * [[http://mathworld.wolfram.com/TrapezoidalRule.html|Trapezoidal rule]] (math world) | ||
| + | * [[https://en.wikipedia.org/wiki/Simpson%27s_rule|Simpson's rule]] (wikipedia) | ||
| + | * [[http://mathworld.wolfram.com/SimpsonsRule.html|Simpson's rule]] (math world) | ||
| + | * [[https://en.wikipedia.org/wiki/Newton%E2%80%93Cotes_formulas|Newton-Cotes formulae]] (wikipedia) | ||
| + | * [[http://mathworld.wolfram.com/Newton-CotesFormulas.html|Newton-Cotes formulae]] (math world) | ||
| + | * [[http://mathworld.wolfram.com/TrapezoidalRule.html|Trapezoidal rule]] (math world) | ||
gibson/teaching/fall-2016/math753/quadrature.txt ยท Last modified: 2016/11/17 07:04 by gibson
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