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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4730148
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