A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...

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 ...

Scientists have developed a new AI method that can work backward from patterns to uncover the hidden processes driving them.

We derive a partial differential equation (PDE) representation for the value of financial derivatives with bilateral counterparty risk and funding costs. The model is very general in that the funding ...

The latest news and top stories on Yau Shing-tung, a Chinese-American mathematician and the Director of the Yau Mathematical ...