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.

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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 NERFINISHED
Philip Rabinowitz NERFINISHED
hasField mathematics
numerical analysis
hasGenre non-fiction
hasLanguage English
hasReputation classic work in numerical integration
hasTopic Gaussian quadrature NERFINISHED
Newton–Cotes formulas NERFINISHED
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

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Philip J. Davis notableWork Methods of Numerical Integration