A high precision numerical analysis of the static, spherically symmetric SU (2) magnetic monopole equations is carried out. Using multi-shooting and multi-domain spectral methods , the mass of the monopole is obtained rather precisely as a function of β = M H /M W for a large β-interval (M H and M W denote the mass of the Higgs and gauge field respectively). The numerical results necessitated t...

We illustrate an example where multiple flat directions give rise to inflation with a help of non-minimal kinetic terms. We show that multiple fields can assist inflation irrespective of the field potentials which are expected to be lifted in the early Universe. We argue that inflation may proceed in this set-up even if individual potentials are too steep to sustain inflation on their own. We c...

Although the fast spectral method has been established for solving the Boltzmann equation for single-species monatomic gases, its extension to gas mixtures is not easy because of the non-unitary mass ratio between the di↵erent molecular species. The conventional spectral method can solve the Boltzmann collision operator for binary gas mixtures but with a computational cost of the order m

Article history: Received 24 February 2010 Received in revised form 4 June 2010 Accepted 6 July 2010 Available online 16 July 2010

Hermite approximation is investigated. Some inverse inequalities, imbedding inequalities and approximation results are obtained. A Hermite spectral scheme is constructed for Burgers equation. The stability and convergence of the proposed scheme are proved strictly. The techniques used in this paper are also applicable to other nonlinear problems in unbounded domains.