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math.NA2025
Neural Field Equations with random data
Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1
We study neural field equations, which are prototypical models of large-scale cortical activity, subject to random data. We view this spatially-extended, nonlocal evolution equatio…
math.NA2025
Stochastic collocation schemes for Neural Field Equations with random data
Daniele Avitabile, Francesca Cavallini, Svetlana Dubinkina +1
We develop and analyse numerical schemes for uncertainty quantification in neural field equations subject to random parametric data in the synaptic kernel, firing rate, external st…