ERIC Number: EJ1102427
Record Type: Journal
Publication Date: 2016
Abstractor: As Provided
Numerical Integration: One Step at a Time
Yang, Yajun; Gordon, Sheldon P.
PRIMUS, v26 n5 p371-392 2016
This article looks at the effects that adding a single extra subdivision has on the level of accuracy of some common numerical integration routines. Instead of automatically doubling the number of subdivisions for a numerical integration rule, we investigate what happens with a systematic method of judiciously selecting one extra subdivision for the succeeding iteration. We outline the numerical criterion for both Riemann sums and the Trapezoidal Rule, respectively. Two kinds of integrands where this technique is very effective are considered: as a computational tool and more importantly as a way to increase student understanding.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A