CORDIS Project
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This project focuses on developing numerical methods for solving nonlinear partial differential equations, aiming to preserve essential physical properties over long time scales. It addresses challenges like numerical resonances and rough data, which are critical for accurately modeling phenomena such as turbulence and…
Symmetries, energy and mass conservation, integrability, measure invariance, scattering, etc. are major features in nonlinear systems and intrinsically shape their global dynamics.
To guarantee a reliable numerical description of nonlinear phenomena on short and long time scales, faithful to the physical interpretation of differential equations, it is therefore crucial to preserve these structures at the discrete level.
Otherwise important information becomes lost, hindering genuine long time si…
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