Nonlocal boundary value problems arise when the conditions imposed on a differential equation involve values of the solution over an extended region rather than solely at discrete points. Such ...

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

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

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.

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

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...

Burt earned bachelor’s degrees in electrical engineering and modern languages from the University of Lowell in 1988 and a PhD in applied mathematics from Northwestern University in 1994. He joined WPI ...