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 ...
Exact simulation approaches for a class of diffusion bridges have recently been proposed based on rejection sampling techniques. The existing rejection sampling methods may not be practical owing to ...
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