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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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math.NA2023★ 5 cited

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

Philipp Krah, Xi-Yuan Yin, Julius Bergmann +2

We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow ma…

math.NA2023★ 10 cited

Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: A study using POD-Galerkin and dynamical low rank approximation

Julian Koellermeier, Philipp Krah, Jonas Kusch

Geophysical flow simulations using hyperbolic shallow water moment equations require an efficient discretization of a potentially large system of PDEs, the so-called moment system.…