The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...

Further studies are needed to determine whether K2-18b, which orbits a star 120 light-years away, is inhabited, or even habitable. By Carl Zimmer Update, July 29, 2025: The conclusion of this study ...

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...

Abstract: Wavelet is relatively new but an emerging theory in the field of mathematics and signal processing which is being used in different engineering and mathematical tasks. From many existing ...

A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure ...

The number of patients in a hospital is a direct indicator of patients' choice of hospital, which is a complex process affected by many factors. Based on the national medical system and patients' ...