New formulation of eddy diffusion thermocline models

A geometric integral formulation for eddy-currents

In the computational electromagnetism community it is known how the differential formulation of an eddy-current problem, can be translated into a finite dimensional system of equations involving circulations and fluxes, by means of the so-called Discrete Geometric Approach. This is done by exploiting the geometric structure behind Maxwell’s equations. In this paper, we will show how the same Di...

A New Formulation for Latent Class Models∗

Latent class, or finite mixture, modelling has proved a very popular, and relatively easy, way of introducing much-needed heterogeneity into empirical models right across the social sciences. The technique involves (probabilistically) splitting the population into a finite number of (relatively homogeneous) classes, or types. Within each of these, typically, the same statistical model applies, ...

Calogero-Moser Models: A New Formulation

A new formulation of Calogero-Moser models based on root systems and their Weyl group is presented. The general construction of the Lax-pairs and the proof of the integrability applicable to all models based on the simply-laced algebras (ADE) are given for two types which we will call ‘root’ and ‘minimal’. The root type Lax pair is new; the matrices used in its construction bear a resemblance t...

Large eddy simulation models for incompressible magnetohydrodynamics derived from the variational multiscale formulation

Eddy diffusion December 7 , 2000 1 Introduction