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

Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

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.

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

Control and inverse problems in wave equations and graphs constitute a dynamic field at the intersection of applied mathematics, engineering and physics. This area investigates how waves propagating ...

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

In this graph, 𝑥 and 𝑦 are directly proportional. This means that when 𝑥 doubles, 𝑦 also doubles, and when 𝑥 triples, so does 𝑦. In fact, for all coordinates on this line, you could multiply or ...

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