Finding an optimal partition for a numerical integration using the trapezoidal rule

✍ Scribed by J. Vergnes; J. Dumontet

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 715 KB
• Volume: 21
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(79)90139-3

✦ Synopsis

When a method of numerical integration is implemented on a computer, it is performed with a limited precision arithmetic. This causes a computing error propagated at the level of each elementary operation and affecting, like the method error, the final computed result.

The global error depends on the integrating step.

In this paper, we present a new method for estimating these errors and for evaluating theoptirmnn integrating step for which the global error is minimum.