Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9511483 | Applied Numerical Mathematics | 2005 | 12 Pages |
Abstract
The evaluation of the definite integral I=â«abf(x)dx is proposed in this paper by using the stochastic arithmetic. For this purpose, the closed Newton-Cotes integration rules are considered and a theorem is proved to show the accuracy of the results. Then the CESTAC method and the stochastic arithmetic are used to validate the results and implement the numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Saeid Abbasbandy, Mohammad Ali Fariborzi Araghi,