Reaction-diffusion systems represent a fundamental mathematical framework to model the interplay between local reactive processes and diffusive transport of substances. These systems have wide-ranging ...

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

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 ...

This is a preview. Log in through your library . Abstract In this paper we mathematically characterize through a Lie formalism the local errors induced by operator splitting when solving nonlinear ...

Google researchers have used a quantum computer to simulate a chemical reaction for the first time. The reaction is a simple one, but this marks a step towards finding a practical use for quantum ...