Article ID Journal Published Year Pages File Type
9511483 Applied Numerical Mathematics 2005 12 Pages PDF
Abstract
The evaluation of the definite integral I=∫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.
Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics
Authors
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