Nature

A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation

This study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs). The approach ...
Nature

Numerical Synthesis of Mechanisms in Polynomial Systems

The numerical synthesis of mechanisms in polynomial systems unites computational algebraic geometry with kinematic and dynamic design. At its core, this discipline formulates linkage and ...
Investopedia

Polynomial Trend Analysis: Understanding Curved Data

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
Quanta Magazine

Mathematicians Find Long-Sought Building Blocks for Special Polynomials

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...