Trapezoidal rule

GPTKB entity

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