Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Numerical integration method
|
| gptkbp:appliesTo |
Continuous functions
|
| gptkbp:basedOn |
Parabolic approximation
|
| gptkbp:category |
gptkb:Quadrature_rule
|
| gptkbp:errorOrder |
O(h^4)
|
| gptkbp:field |
Numerical analysis
|
| gptkbp:firstPublished |
1743
|
| gptkbp:form |
∫_a^b f(x) dx ≈ (b-a)/6 [f(a) + 4f((a+b)/2) + f(b)]
|
| gptkbp:generalizes |
gptkb:Trapezoidal_rule
|
| https://www.w3.org/2000/01/rdf-schema#label |
Simpson's rule
|
| gptkbp:namedAfter |
gptkb:Thomas_Simpson
|
| gptkbp:relatedTo |
gptkb:Newton–Cotes_formulas
gptkb:Trapezoidal_rule Midpoint rule |
| gptkbp:requires |
Even number of intervals
|
| gptkbp:usedFor |
Approximating definite integrals
|
| gptkbp:bfsParent |
gptkb:Thomas_Simpson
|
| gptkbp:bfsLayer |
7
|