This is a numerical calculus library written in MoonBit, designed to fill the gap in the MoonBit ecosystem for scientific computing. The project will provide basic methods for numerical calculus ...

1 Statistics, Information Modelling & Financial Mathematics Research Group, Sheffield Hallam University, Sheffield, UK. 2 Department of Statistics, Institute of Management and Technology (IMT) Enugu, ...

Another technique to find roots of equations, especially useful when working with continuous functions on closed intervals. Numerical differentiation is a technique used to approximate the derivative ...

This image illustrates advanced numerical methods used in quantitative finance for financial analysis, reflecting the article's focus on essential tools for finance professionals. A guided overview of ...

In this article, some practical software optimization methods for implementations of fractional order backward difference, sum, and differintegral operator based on Grünwald-Letnikov definition are ...

ABSTRACT: Forced and damped oscillators appear in the mathematical modelling of many problems in pure and applied sciences such as physics, engineering and celestial mechanics among others. Although ...

Abstract: The numerical implementation of fractional calculus is an important factor in applying the fractional calculus theory to engineering application. In most existing research, the order in ...