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Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
Stochastic PDE solvers (SPDE) built on top of exponax: Exponential Euler-Maruyama stepper for the stochastic Allen-Cahn equation with additive/multiplicative Q-Wiener noise, tamed nonlinearities, ensemble utilities, Richardson extrapolation, and a Strang-split hybrid SSA scaffold.
Julia scripts associated with "A White Noise Approach to Evolutionary Ecology" by Week et. al. (2020) for simulating branching Brownian motions and other measure-valued branching processes, approximating their diffusion limits, solving associated SPDE and solving SDE corresponding to an eco-evolutionary model of a competitive community.