We discuss the seminal article in which Le Bellac and Lévy-Leblond have identified two Galilean limits of electromagnetism [1], and its modern implications. We use their results to point out some confusion in the literature and in the teaching of special relativity and electromagnetism. For instance, it is not widely recognized that there exist two well defined non-relativistic limits, so that ...

In this paper, we present a new algorithm, which is called electromagnetism meta-heuristic restarted Arnoldi algorithm (EM-RA) for calculating eigenvalues and eigenvectors of a non-symmetric matrix. In most of the restarting methods the basic idea is a selection of the best initial eigenvector, but our aim is to improve the initial eigenvectors in each iteration of the restarting method. Numeri...

Hydrodynamic reductions of the hydrodynamic chain associated with dispersionless limit of 2+1 Harry Dym equation are found by the Miura type and reciprocal transformations applied to the Benney hydrodynamic chain.

We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell’s system, in the full space Ω = R, without boundary conditions. We shall distinguish between two cases: constant coefficient case, and non coefficient-scalar case. In the two cases we give the behaviour of the H-measures associated to...