We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.  

Reseña/Review (D’ Ignazio, Catherine y Klein, F. Klein), “Data Feminism”, Massachusetts, The MIT Press, ISBN: 978-0262044004, 328 págs, 2020)

In 1981 Walter Rudin exhibited a totally real embedding of the Klein bottle into C2. We show that the polynomially convex hull of Rudin’s Klein bottle contains an open subset of C2. We also describe another totally real Klein bottle in C2 whose hull has topological dimension equal to three.

The modified decomposition method has been implemented for solving a coupled Klein-Gordon Schrödinger equation. We consider a system of coupled Klein-Gordon Schrödinger equation with appropriate initial values using the modified decomposition method. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions of coupled Klein-Gordon Schr...

We examine the virtual effects of Kaluza-Klein (KK) states on Higgs physics in universal extra dimension models. We study the partial widths Γh→gg, Γh→γγ , and Γh→γZ , which are relevant for Higgs production and detection in future collider experiments. These interactions occur at one loop in the Standard Model, as do the KK contributions. We find that the deviations induced by the KK exchanges...

We consider the novel Kaluza-Klein (KK) scenario where gravity propagates in the 4 + n dimensional bulk of spacetime, while gauge and matter fields are confined to the 3 + 1 dimensional world-volume of a brane configuration. For simplicity we assume compactification of the extra n dimensions on a torus with a common scale R, and identify the massive KK states in the four-dimensional spacetime. ...

The main results concern with the self maps on the Klein bottle. We obtain the Reidemeister numbers and the Nielsen numbers for all self maps on the Klein bottle. In terms of the Nielsen numbers of their iterates, we totally determine the minimal sets of periods for all homotopy classes of self maps on the Klein bottle.

In this paper, we shall characterize triangulations on the Klein bottle without K6-minors. Our characterization implies that every 5-connected triangulation on the Klein bottle has a K6-minor. The connectivity “5” is best possible in a sense that there is a 4-connected triangulation on the Klein bottle without K6-minors.