We present a first-order system least-squares (FOSLS) method to approximate the solution to the equations of geometrically nonlinear elasticity in two dimensions. With assumptions of regularity on the ...

Chaotic systems are nonlinear (although technically you could have an infinite-order linear system which would be chaotic), but most nonlinear systems you observe can never be chaotic.

Following our earlier work on general second-order scalar equations, here we develop a least-squares functional for the two- and three-dimensional Stokes equations, generalized slightly by allowing a ...

Getting an all-optical AI to handle non-linear math Instead of sensing photons and processing the results, why not process the photons?