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 ...
AI credited with breakthroughs in pure and applied mathematics Two recent advances highlight AI's expanding role in mathematics: ChatGPT-5.4 may have solved a decades-old Erdős problem, while ...
Data-driven discovery of partial differential equations (PDEs) is a promising approach for uncovering the underlying laws governing complex systems. However, purely data-driven techniques face the ...
Many fundamental and important physical problems in science and engineering involve the solution of nonlinear differential equations. Our faculty do research on nonlinear problems in wave phenomena, ...
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