Methods of Numerical Integration
E1002060
Methods of Numerical Integration is a comprehensive mathematical text that systematically presents and analyzes techniques for approximating definite integrals using numerical methods.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Methods of Numerical Integration canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12797620 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Methods of Numerical Integration Context triple: [Philip J. Davis, notableWork, Methods of Numerical Integration]
-
A.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
B.
Newton–Cotes formulas
Newton–Cotes formulas are a family of numerical integration methods that approximate definite integrals by interpolating the integrand with equally spaced polynomial points.
-
C.
Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers is a classic textbook by Richard W. Hamming that introduces and explains practical computational techniques for solving mathematical problems in science and engineering.
-
D.
Runge–Kutta methods
Runge–Kutta methods are a family of iterative techniques for numerically solving ordinary differential equations with higher accuracy than simple one-step schemes.
-
E.
Gaussian quadrature rules
Gaussian quadrature rules are numerical integration methods that approximate definite integrals by optimally choosing evaluation points and weights to achieve exactness for polynomials up to a high degree.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Methods of Numerical Integration Target entity description: Methods of Numerical Integration is a comprehensive mathematical text that systematically presents and analyzes techniques for approximating definite integrals using numerical methods.
-
A.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
B.
Newton–Cotes formulas
Newton–Cotes formulas are a family of numerical integration methods that approximate definite integrals by interpolating the integrand with equally spaced polynomial points.
-
C.
Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers is a classic textbook by Richard W. Hamming that introduces and explains practical computational techniques for solving mathematical problems in science and engineering.
-
D.
Runge–Kutta methods
Runge–Kutta methods are a family of iterative techniques for numerically solving ordinary differential equations with higher accuracy than simple one-step schemes.
-
E.
Gaussian quadrature rules
Gaussian quadrature rules are numerical integration methods that approximate definite integrals by optimally choosing evaluation points and weights to achieve exactness for polynomials up to a high degree.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ numerical analysis text ⓘ |
| contributesTo |
standardization of terminology in numerical integration
ⓘ
systematic classification of quadrature rules ⓘ |
| emphasizes |
comparison of different integration schemes
ⓘ
error bounds for numerical integration formulas ⓘ rigorous analysis of quadrature methods ⓘ |
| focusesOn | systematic presentation of numerical methods for definite integrals ⓘ |
| hasAuthor |
Philip J. Davis
ⓘ
Philip Rabinowitz ⓘ |
| hasField |
mathematics
ⓘ
numerical analysis ⓘ |
| hasGenre | non-fiction ⓘ |
| hasLanguage | English ⓘ |
| hasReputation | classic work in numerical integration ⓘ |
| hasTopic |
Gaussian quadrature
ⓘ
linked to:
Gaussian quadrature rules
Newton–Cotes formulas ⓘ Romberg integration ⓘ adaptive quadrature ⓘ approximation of definite integrals ⓘ composite quadrature rules ⓘ convergence of numerical methods ⓘ error analysis ⓘ implementation issues in numerical integration ⓘ improper integrals ⓘ interpolation-based quadrature ⓘ multi-dimensional integration ⓘ numerical integration ⓘ orthogonal polynomials ⓘ practical algorithms for integration ⓘ quadrature formulas ⓘ rounding error ⓘ singular integrals ⓘ stability of numerical methods ⓘ weight functions ⓘ |
| hasUse |
applied mathematics education
ⓘ
engineering computation ⓘ scientific computing ⓘ |
| isDescribedAs | comprehensive mathematical text on numerical integration techniques ⓘ |
| isUsedAs |
graduate-level textbook
ⓘ
reference for researchers in numerical analysis ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Methods of Numerical Integration Description of subject: Methods of Numerical Integration is a comprehensive mathematical text that systematically presents and analyzes techniques for approximating definite integrals using numerical methods.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.