7 Newton-Cotes Quadrature
7.1 Newton-Cotes Quadrature
These methods are generally of two types.
- Closed methods
- Open methods
Briefly, it can be said that closed methods are methods that use the initial and final points of the integration interval in the quadrature rule, and open methods are methods where at least one of the initial or final points is not used. First, we examine closed methods.
One of the defining factors of these methods is the number of integration points that they use, for example, two points, three points, and so on. It will be proved that the application of eight-point and above methods is not cost-effective and the propagation of computational and rounding error is occurred. Each of the ...
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