This is a preview. Log in through your library . Abstract The reaction-diffusion master equation (RDME) has recently been used as a model for biological systems in which both noise in the chemical ...

The Annals of Applied Probability, Vol. 16, No. 4 (Nov., 2006), pp. 1925-1961 (37 pages) A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of ...

Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

Stochastic differential equations (SDEs) are at the heart of modern financial modelling, providing a framework that accommodates the inherent randomness observed in financial markets. These equations ...