SIAM Journal on Applied Mathematics, Vol. 71, No. 4 (2011), pp. 1401-1427 (27 pages) We describe and analyze a bistable reaction-diffusion model for two interconverting chemical species that exhibits ...

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 ...