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math.NA2025
A discrete data assimilation algorithm for the reconstruction of Gray--Scott dynamics
Tsiry Avisoa Randrianasolo
The Gray--Scott model governs the interaction of two chemical species via a system of reaction-diffusion equations. Despite its simple form, it produces extremely rich patterns suc…
math.NA2025
Convergence and error analysis of a semi-implicit finite volume scheme for the Gray--Scott system
Tsiry Avisoa Randrianasolo
We analyze a semi-implicit finite volume scheme for the Gray--Scott system, a model for pattern formation in chemical and biological media. We prove unconditional well-posedness of…