Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Numerical integration method
|
gptkbp:alsoKnownAs |
Trapezium rule
|
gptkbp:appliesTo |
Continuous functions
|
gptkbp:basedOn |
Trapezoid area formula
|
gptkbp:category |
gptkb:Quadrature_rule
|
gptkbp:errorDependsOn |
Second derivative of function
|
gptkbp:errorOrder |
O(h^2)
|
gptkbp:firstDescribed |
gptkb:Isaac_Newton
gptkb:James_Gregory |
gptkbp:form |
(b-a)/2 * [f(a) + f(b)] for single interval
|
gptkbp:generalizes |
Composite trapezoidal rule
|
gptkbp:heldBy |
Linear method
|
https://www.w3.org/2000/01/rdf-schema#label |
Trapezoidal rule
|
gptkbp:improves |
Smaller subintervals
|
gptkbp:relatedTo |
gptkb:Simpson's_rule
|
gptkbp:requires |
Partition of interval
Function values at endpoints |
gptkbp:usedFor |
Approximating definite integrals
|
gptkbp:usedIn |
gptkb:Physics
Engineering Numerical analysis |
gptkbp:bfsParent |
gptkb:Simpson's_rule
|
gptkbp:bfsLayer |
8
|