The concept of spacetime, first described in Einstein's theory of general relativity, has since been widely studied by many ...

In the past few decades, the use of phase field-modeling equations for mathematical modeling has progressed. Phase separation has been studied extensively in thermodynamics and materials engineering, ...

It’s the same math that explains how, under the right conditions, the atmosphere above a barren plain can produce a roiling tornado. Merle has had enormous success taming these blowups in the ...

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