SEAN O. SETTLE, CRAIG C. DOUGLAS, IMBUNM KIM, DONGWOO SHEEN, ON THE DERIVATION OF HIGHEST-ORDER COMPACT FINITE DIFFERENCE SCHEMES FOR THE ONE- AND TWO-DIMENSIONAL POISSON EQUATION WITH DIRICHLET ...

We consider a model initial and boundary value problem for the wide-angle "parabolic" equation Lu r = icu of underwater acoustics, where L is a second-order differential operator in the depth variable ...

For these pipelines, an essential step is solving the G-equation, a nonlinear parabolic PDE that models the front propagation of the flame and can be solved using the researchers' framework.