A quadrature formula associated with a univariate quadratic spline quasi-interpolant

2005/12/19 by Paul Sablonnière, Sablonniere, Paul
Engineering · Mathematics · #41A15 #65D07 #65D25 #65D32 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0512439

openalex publication_date 2005/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a new simple quadrature rule based on integrating a C¹ quadratic spline quasi-interpolant on a bounded interval. We give nodes and weights for uniform and non-uniform partitions. We also give error estimates for smooth functions and we compare this formula with Simpson's rule.

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