9 citations · 20 across the 6 of their papers we have counts for
7 papers
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…
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…
Reduced dynamics for models of pattern formation
Erika Hausenblas, Tsiry Avisoa Randrianasolo
The goal of this work is to analyze the long-term behavior of reaction-diffusion systems arising in two-species chemical models and to identify finite sets of modes that determine…
Numerical approximation of Dynkin games with asymmetric information
Ľubomír Baňas, Giorgio Ferrari, Tsiry Avisoa Randrianasolo
We propose an implementable, neural network-based structure preserving probabilistic numerical approximation for a generalized obstacle problem describing the value of a zero-sum d…
Numerical approximation of the value of a stochastic differential game with asymmetric information
Ľubomír Baňas, Giorgio Ferrari, Tsiry A. Randrianasolo
We consider a convexity constrained Hamilton-Jacobi-Bellman-type obstacle problem for the value function of a zero-sum differential game with asymmetric information. We propose a c…
Time-discretization of stochastic 2-D Navier--Stokes equations with a penalty-projection method
Erika Hausenblas, Tsiry Randrianasolo
A time-discretization of the stochastic incompressible Navier--Stokes problem by penalty method is analyzed. Some error estimates are derived, combined, and eventually arrive at a…
Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces
Hakima Bessaih, Erika Hausenblas, Tsiry Randrianasolo +1
The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {}. Examples of equation…