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 ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

AI credited with breakthroughs in pure and applied mathematics Two recent advances highlight AI's expanding role in mathematics: ChatGPT-5.4 may have solved a decades-old Erdős problem, while ...

Continuation of APPM 5470. Advanced study of the properties and solutions of elliptic, parabolic, and hyperbolic partial differential equations. Topics include the study of Sobolev spaces and ...

The doctoral degree in Mathematics at Drexel features research opportunities in many areas of both pure and applied mathematics. Departmental research interests include: mathematical biology, applied ...