Differential Equations podcasts

Jonathan Webb and ABC AI reporter Cam Wilson discuss how AI systems are changing mathematical research and the controversy around claims concerning the Navier–Stokes equations and the Millennium Prize. Mathematician Tristan Buckmaster of New York University contributes to the discussion.

Hosted by Jonathan Webb

Leonardo and Andrea discuss internet censorship and recent work on Navier-Stokes equations involving AI, including the scientific significance and debate surrounding the results. The episode also contains Giuliano Greco's interview with Ivano La Rosa about a cyberpunk audio drama set in a future Genoa.

Hosted by Leonardo, Andrea

Yolanne Lee, Georg Maierhofer and Chris Budd report on a two-day Maths4DL hackathon investigating machine-learning methods for differential equations. They discuss how such systems can be taught to solve equations, how proposed methods should be evaluated, and the collaborative process of moving from an ambitious research question to workable tests.

Benjamin Walker, Adam Townsend and Andrew Krause explain VisualPDE, an interactive tool for solving and exploring partial differential equations. Examples include airborne infection and flood-water movement. The conversation covers why the tool was built, how interactive simulations make models understandable to non-specialists, and how researchers can quickly investigate the behaviour of their equations.