Gregory method
E711181
The Gregory method is a numerical integration technique that approximates definite integrals using a series expansion based on finite differences.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gregory method canonical | 1 |
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
numerical integration method
ⓘ
quadrature rule ⓘ |
| appliesTo | smooth functions ⓘ |
| approximates | integral of a function over an interval ⓘ |
| assumes | function values known at equally spaced points ⓘ |
| basedOn |
finite differences
ⓘ
series expansion ⓘ |
| canBeExpressedAs | series in finite differences of the integrand ⓘ |
| category | deterministic numerical method ⓘ |
| errorDependsOn | higher-order derivatives of the integrand ⓘ |
| field |
computational mathematics
ⓘ
numerical analysis ⓘ |
| goal | increase accuracy of numerical integration ⓘ |
| improvesUpon |
simple rectangle rule
ⓘ
simple trapezoidal rule ⓘ |
| namedAfter | James Gregory NERFINISHED ⓘ |
| operatesOn | univariate functions ⓘ |
| relatedTo |
Gregory–Newton interpolation formula
NERFINISHED
ⓘ
Newton–Cotes formulas NERFINISHED ⓘ finite difference calculus ⓘ |
| representation | integral as sum of weighted function values and finite differences ⓘ |
| requires | tabulated function values ⓘ |
| typeOf | composite quadrature formula ⓘ |
| usedFor | approximating definite integrals ⓘ |
| usedIn |
engineering computations
ⓘ
scientific computing ⓘ |
| uses |
backward differences
ⓘ
equally spaced nodes ⓘ forward differences ⓘ |
| usesConcept | discrete analog of Taylor series ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.