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 ...

Five steps to ensure that you don’t jump to solutions by Julia Binder and Michael D. Watkins When business leaders confront complex problems, there’s a powerful impulse to dive right into “solving” ...

Variational problems in phase transition systems centre on energy functionals that balance interfacial costs and bulk or nonlocal interactions to determine collective patterns of coexisting phases.

Whenever someone sends me a question about how to fix their Wi-Fi, I wince. It’s not that I dislike helping people with their router problems. In fact, there are few geeky endeavors I find more ...

Variational methods in discrete boundary value problems encompass a suite of analytical techniques that recast difference equations with prescribed endpoint conditions into optimisation problems for ...

If you have questions about your Social Security payments, you might need to contact the Social Security Administration for help. You may be able to troubleshoot some problems online, but other issues ...