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Numerical Integration: Fixed-point Rules

  • P. M. Dew
  • K. R. James

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • P. M. Dew
    • 1
  • K. R. James
    • 1
  1. 1.Department of Computer StudiesUniversity of LeedsUK

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