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 ...

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

Researchers at the University of Pennsylvania have introduced 'Mollifier Layers,' an AI-based mathematical approach to solve inverse partial differential equations more reliably and with less ...

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 ...

Raluca Felea, professor in the School of Mathematics and Statistics, presented “Microlocal methods in inverse problems” at the AMS 2023 Fall Eastern Sectional Meeting for a special session on inverse ...

You may never have heard of an “inverse problem”, but as Roy Pike of King’s College London explains in this video, it is a way of looking at many different questions within science. It refers to a ...