built the first algorithm for solving linear differential equations exponentially faster on quantum, rather than on classical, computers. Soon, Berry’s own focus shifted to nonlinear differential ...

it accounts for the nonlinear piece by solving a Hamilton-Jacobi (HJ) equation, a first-order nonlinear PDE. While generic HJ ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

FNO outperforms other existing deep-learning techniques for solving PDEs and is three ... the solution to the Navier-Stokes equations, a set of nonlinear PDEs that describe the motion of fluids ...

Caffarelli’s most important work concerned nonlinear PDEs ... carefully elucidated the troublesome parts of the equations, solving a wide range of problems over his more than four-decade ...