Topic: partial differential equations

The Department of Mathematical Sciences seeks an early-career tenure-track Assistant Professor in applied mathematics, beginning 1 July 2027. Teaching spans introductory mathematics and advanced applied courses, including numerical analysis and partial differential equations, with two courses per semester. Applications require a cover letter, CV, research and teaching statements, publication links, evidence of effective teaching and at least three references. Review begins on 1 November 2026 and continues until the position is filled; the advert requests reference letters by that date.

Optimal transport is a mathematical method to define a distance between probability distributions. This is particularly useful in various domains, including physics, biology, machine learning, and economics, among others. After introducing the Optimal Transport (OT) problem at finite temperature, we show how it can be formulated as a statistical physics problem. This approach allows us to derive very efficient algorithms to effectively compute the distance between two probability distributions. The a priori unrelated Schrödinger bridge (SB) problem is presented, and it is shown to be a dynamic

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.