PDE Family Reunion: When Symbolic AI Learns the Skeleton, Not Just the Skin
Opening — Why This Matters Now If you build simulations for a living, you already know the quiet inefficiency: the equation is the same, the parameters change, and yet we solve everything from scratch. Heat equation, different conductivity. Navier–Stokes, different viscosity. Advection, different transport velocity. Same skeleton. Different numbers. Traditional solvers recompute. Neural operators generalize—but as black boxes. They predict fields, not formulas. And for engineers, physicists, or regulators, a field without a structure is like a forecast without a model. ...