O penAI's large language model (LLM) ChatGPT is surprisingly good at piloting spacecraft, according to a team that trained it ...

A method for the numerical solution of the n-point boundary value problem for homogeneous linear ordinary differential equations is developed. The method requires two Runge-Kutta integrations over the ...

Ordinary Differential Equations; with an Introduction to Lie's Theory of the Group of One Parameter. By James Morris Page. Crown 8vo. Pp. 226 + xviii. (London: Macmillan and Co., 1897.) ...

A numerical method is presented for the solution of boundary value problems involving linear ordinary differential equations. The method described is noniterative and makes use of any one-step ...

The Painlevé equations were discovered as nonlinear ordinary differential equations that define new special functions, and their importance has long been recognized. Since the 1990s, there have been ...

The book Applied Stochastic Differential Equations gives a gentle introduction to stochastic differential equations (SDEs). The low learning curve only assumes prior knowledge of ordinary differential ...

Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog computation to ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. Partial ...