We present a collection of stability results for finite difference approximations to the advection-diffusion equation ut = aux + buxx. The results are for centered difference schemes in space and ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Alan Weiser, Mary Fanett Wheeler, On Convergence of Block-Centered Finite Differences for Elliptic Problems, SIAM Journal on Numerical Analysis, Vol. 25, No. 2 (Apr., 1988), pp. 351-375 ...