NAMSNAJul 11, 2007

Numerical Calculation With Arbitrary Precision

arXiv:0707.17161.241 citationsh-index: 10
Originality Synthesis-oriented
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This work addresses the problem of limited precision in numerical computation for scientists and engineers, but it is an incremental contribution as arbitrary precision libraries already exist.

The paper presents a computational package that provides arbitrary precision numbers and calculations to minimize truncation and rounding errors in scientific numerical computation, which is crucial for handling very small and very large numbers simultaneously in Physics.

The vast use of computers on scientific numerical computation makes the awareness of the limited precision that these machines are able to provide us an essential matter. A limited and insufficient precision allied to the truncation and rounding errors may induce the user to incorrect interpretation of his/hers answer. In this work, we have developed a computational package to minimize this kind of error by offering arbitrary precision numbers and calculation. This is very important in Physics where we can work with numbers too small and too big simultaneously.

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