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

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

2005-12-19

arxiv.org/abs/math/0512439v1

Mathematics

Numerical Analysis

Scientific paper

We study a new simple quadrature rule based on integrating a $C^1$ 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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