Concept
Filtered algebra
Related publications (6)
Influence of pore-scale heterogeneity on the precipitation patterns in Microbially Induced Calcite Precipitation (MICP)
The principle of tailoring material properties to improve the mechanical behaviour of soils through compaction or cement grouting dates to the 60s. The increasing trends of urbanization worldwide require new solutions for the development of resilient and s ...
EPFL2023Structure-Preserving Reduced Basis Methods For Poisson Systems
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...
AMER MATHEMATICAL SOC2021A higher homotopic extension of persistent (co)homology
Our objective is to show a possibly interesting structure of homotopic nature appearing in persistent (co)homology. Assuming that the filtration of a simplicial set embedded in induces a multiplicative filtration on the dg algebra of simplicial cochains, w ...
2018Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of problems by resorting to their semi-discrete formulation as Hamiltonian dynamical systems. In this perspective, the phase space is naturally endowed with a Poisson manifold structur ...
2018Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...
2018Fundamental Group And Pluridifferentials On Compact Kahler Manifolds
A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...
Independent Univ Moscow-Ium2016