ERC Consolidator Grant · 2025
From short to long time scales: Resonances and Structure in Computation
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 simulations. For partial differential equations (PDEs) a major stumbling stone are numerical resonances, a purely discrete artefact, which destroy the geometric structure of the continuous problem and…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.