Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help ...

A ripple tells you something happened, but not exactly what. That is the core problem behind a hard class of equations that ...

Engineers at the University of Pennsylvania have developed an AI technique using 'mollifier layers' to solve complex inverse partial differential equations more efficiently and with greater stability.

Researchers at the University of Pennsylvania have solved a persistent obstacle in computational mathematics: how to reliably ...

Parallel computing for differential equations has emerged as a critical field in computational science, enabling the efficient simulation of complex physical systems governed by ordinary and partial ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...