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math.NA2025
Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models
Dilara Abdel, Maxime Herda, Martin Ziegler +3
In this paper, we present the numerical analysis and simulations of a multi-dimensional memristive device model. Memristive devices and memtransistors based on two-dimensional (2D)…
math.NA2025
A finite volume scheme for the local sensing chemotaxis model
Maxime Herda, Ariane Trescases, Antoine Zurek
In this paper we design, analyze and simulate a finite volume scheme for a cross-diffusion system which models chemotaxis with local sensing. This system has the same Lyapunov func…