3 papers
cs.LG2020
A feedforward neural network for modelling of average pressure frequency response
Klas Pettersson, Andrey Karzhou, Irina Pettersson
The Helmholtz equation has been used for modelling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation c…
math.AP2018
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson, Volodymyr Rybalko
The paper concerns the multiscale modeling of a myelinated axon. Taking into account the microstructure with alternating myelinated parts and nodes Ranvier, we derive a nonlinear c…
math.AP2017
Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
Irina Pettersson
The aim of this paper is to adapt the notion of two-scale convergence in to the case of a measure converging to a singular one. We present a specific case when a thin cylinde…