A simple method to compute standard two-fluid models

On a Simple Method to Compute Polygonal Minimal Surfaces

Given a closed polygonal contour with N+3 vertices in IR q (q 2) there is a one to one correspondence between the zeros of r and minimal surfaces spanned by ?, where () := inf v2X() D(v) (2 T IR N) denotes Shiiman's function for the polygon ? and D denotes Dirichlet's Integral. We derive an explicit expression for r h , where h () := inf v2X h () D(v) with suitable nite element spaces X h (). F...

A Simple Method to Improve Hazelnut Grafting

Hazelnuts are usually propagated by suckers or layering. However, other methods of propagation have been tested with variable results. Grafting is a method that has a few advantages such as fast multiplication rate, earlier fruiting and reducing sucker removal cost on specific rootstocks. Unfortunately, grafting is difficult due to slow formation of callus in hazelnuts. Here, we report the hypo...

A simple way to compute structure constants

The standard technique for computing the structure constants of semi-simple Lie algebras is used in the computer program MAGMA and described by [Cohen-Murray-Taylor:2005]. It relies on the additive structure of roots. In [Casselman:2015] I explained a reasonably efficient way to compute the structure constants of semi-simple Lie algebras by implementing an idea originally found in [Tits:1966a]....

Signature-based algorithms to compute standard bases

A method to compute periodic sums

In a number of problems in computational physics, a finite sum of kernel functions centered at N particle locations located in a box in three dimensions must be extended by imposing periodic boundary conditions on box boundaries. Even though the finite sum can be efficiently computed via fast summation algorithms, such as the fast multipole method (FMM), the periodized extension is usually trea...