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

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

Inverse problems for magnetic Schrödinger operators are at the forefront of mathematical physics and analysis, as they address the challenge of determining unknown magnetic and electric potentials ...

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 ...

In the context of inverse problems, a mathematical model of the measurements is called the direct problem. To understand this term, let us consider a model for obstetric sonography. An ultrasonic ...

Inverse problems research lies at the intersection of pure and applied mathematics. The forward problem corresponding to an inverse problem is usually a well defined problem in physics, engineering or ...