Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly challenging class of mathematical problems with broad implications for ...