# Filon quadrature

## Quadrature

* Aim

* Naive approach

* Error bound

## Simpson quadrature

* Motivation

* Definition

* Error bound

* Composite Simpson's rule; error bound

## A situation where Simpson quadrature breaks


## Filon quadrature

* Idea

* Derivation

* Error bounds?

## Extensions of Filon quadrature

* Adaptive Filon quadrature

* Filon quadrature on a semiinfinite interval

* Filon-Curtis-Clenshaw