Numerical Calculation With Arbitrary Precision

TL;DR

This paper presents a computational package that enables arbitrary precision calculations to reduce errors in scientific numerical computations, especially useful in physics for handling extremely small or large numbers.

Contribution

The work introduces a new software tool that allows for arbitrary precision arithmetic to improve accuracy in scientific computations.

Findings

Reduces truncation and rounding errors in numerical calculations.

Enables handling of very small and very large numbers simultaneously.

Improves reliability of scientific numerical results.

Abstract

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.