output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

Showing 2019 · math.NAShow all

10 papers · 2 filters

math.NA2019★ 28 cited

A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects

Thomas Engels, Kai Schneider, Julius Reiss +1

We present a wavelet-based adaptive method for computing 3D multiscale flows in complex, time-dependent geometries, implemented on massively parallel computers. While our focus is…

math.NA2019★ 20 cited

A Characteristic Mapping Method for the two-dimensional incompressible Euler equations

Xi-Yuan Yin, Olivier Mercier, Badal Yadav +2

We propose an efficient semi-Lagrangian method for solving the two-dimensional incompressible Euler equations with high precision on a coarse grid. The new approach evolves the flo…

math.NA2019★ 11 cited

Implementation of irreducible Sobol sequences in prime power bases

H. Faure, C. Lemieux

We present different implementations for the irreducible Sobol (IS) sequences introduced in [3]. For this purpose we retain two strategies: first we use the connection between IS a…

math.NA2019

Consistent Internal Energy Based Schemes for the Compressible Euler Equations

R. Herbin, T. Gallouët, J. -C Latché +1

Numerical schemes for the solution of the Euler equations have recently been developed, which involve the discretisation of the internal energy equation, with corrective terms to e…

math.NA2019★ 2 cited

A decoupled staggered scheme for the shallow water equations

Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri +1

We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of th…

math.NA2019

On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes

Thierry Gallouët, R. Herbin, J. -C Latché

The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, analogues of the Lax-Wendroff theorem for) finite volume schemes for bala…