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

Dynamic equations and time scale analysis offer a unifying framework for the study of systems evolving over time, whether in continuous, discrete, or hybrid settings. By integrating differential and ...

Partial Differential Equations (PDEs) are mathematical equations that involve unknown multivariate functions and their partial derivatives. They are the cornerstone of modelling a vast array of ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...