A Space-Time Finite Element Method for Neural Field Equations with Transmission Delays

DOI10.1137/16M1085024zbMath1373.65072arXiv1702.07585OpenAlexW3101755145MaRDI QIDQ5358955

Mónika Polner, Stephan A. van Gils, J. J. W. van der Vegt

Publication date: 22 September 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07585

zbMATH Keywords

algorithmfinite element methodsa priori error analysisdiscontinuous Galerkinspace-time methodsneural fieldstransmission delays

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Projection Methods for Neural Field Equations, An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays, Dynamics of delayed neural field models in two-dimensional spatial domains, An accurate and efficient numerical method for neural field models with transmission delays

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