Numerical Integration: Fixed-point Rules

P. M. Dew and K. R. James
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P. M. Dew: University of Leeds, Department of Computer Studies
K. R. James: University of Leeds, Department of Computer Studies

Chapter 8 in Introduction to Numerical Computation in Pascal, 1983, pp 189-212 from Springer

Abstract: Abstract 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.

Keywords: Integration Point; Truncation Error; Trapezoidal Rule; Decimal Place; Cost Curve (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4757-3940-4_8

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