The talk is focused on adapted discretizations of advectionreaction-diffusion partial differential equations which are a-priori known to provide periodic wavefronts as fundamental solutions. A spatial discretization based on trigonometrically fitted finite differences, as well as an adapted IMEX time integration are presented and analyzed. The estimation of time and space frequencies is also addressed, by means of an approach free from step-by-step optimization procedures. A selection of numerical experiments confirms the effectiveness of the approach.
Adapted discretization of reaction-diffusion problems generating periodic wavefronts
Paternoster, Beatrice
2019
Abstract
The talk is focused on adapted discretizations of advectionreaction-diffusion partial differential equations which are a-priori known to provide periodic wavefronts as fundamental solutions. A spatial discretization based on trigonometrically fitted finite differences, as well as an adapted IMEX time integration are presented and analyzed. The estimation of time and space frequencies is also addressed, by means of an approach free from step-by-step optimization procedures. A selection of numerical experiments confirms the effectiveness of the approach.File in questo prodotto:
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