Project description
Low-regularity and high oscillations: computation of dispersive equations (LAHACODE)
Partial differential equations (PDEs) play a central role in mathematics, allowing us to describe physical phenomena ranging from ultra-cold atoms up to ultra-hot matter, from learning algorithms to fluids in the human brain. To understand nature we have to understand their qualitative behavior and compute reliably their numerical approximation. While linear problems and smooth solutions are nowadays well understood, a reliable description of ‘non-smooth’ phenomena remains a challenging open problem. The overall ambition of the ERC-funded project LAHACODE is to make a crucial step towards closing this gap by deeply embedding the underlying structure of resonances into the numerical discretisation. This will allow us to link the finite dimensional discretisation to powerful existence results for nonlinear PDEs at low regularity.
Fields of science
Topic(s)
Call for proposal
ERC-2019-STG
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Funding Scheme
ERC-STG - Starting GrantHost institution
75006 Paris
France
Beneficiaries (2)
75006 Paris
Participation ended
80539 Muenchen