Numerical Integration: Fixed-point Rules
A recurring problem in science and engineering is to integrate a given function of one real variable. Such a function may be defined in one of two ways: by the approximate numerical values at a set of discrete points (numerically defined function) or by a formula (analytically defined function). In this and the following chapter we shall be concerned mainly with developing library codes to integrate analytically defined functions. Our aim will be to write routines which can compute the value of a definite integral to a specified accuracy without requiring any specialised knowledge from the user.
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