Hacker News with Generative AI: Differential Equations

Orders of Infinity (wordpress.com)
Many problems in analysis (as well as adjacent fields such as combinatorics, theoretical computer science, and PDE) are interested in the order of growth (or decay) of some quantity that depends on one or more asymptotic parameters (such as ) – for instance, whether the quantity grows or decays linearly, quadratically, polynomially, exponentially, etc. in .
Mathematics, Asymptotic Analysis, Combinatorics, Differential Equations
82 points by matt_d 18 days ago | 15 comments
Lotka–Volterra Equations (wikipedia.org)
The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey.
Mathematics, Biology, Ecology, Differential Equations
53 points by ustad 42 days ago | 22 comments
Solving First Order Differential Equations with Julia (ritog.github.io)
In this tutorial, we will learn about solving Differential Equations with Julia.
Programming, Differential Equations, Julia
125 points by __rito__ 80 days ago | 39 comments
An Introduction to Neural Ordinary Differential Equations [pdf] (diposit.ub.edu)
Neural Networks, Machine Learning, Differential Equations, Mathematics
79 points by gballan 133 days ago | 10 comments
Heaviside’s Operator Calculus (2007) (deadreckonings.com)
An operational calculus converts derivatives and integrals to operators that act on functions, and by doing so ordinary and partial linear differential equations can be reduced to purely algebraic equations that are much easier to solve.
Mathematics, Calculus, Operators, Differential Equations
83 points by joebig 172 days ago | 28 comments