Based on the Collins integral, an analytical expression of a general Lorentz-Gauss vortex beam propagating in free space is derived, which allows one to calculate the linear momentum density of a general Lorentz-Gauss vortex beam in free space. The linear momentum density distribution of a general Lorentz-Gauss vortex beam propagating in free space is graphically demonstrated. The xand y-compon...

The smoothness-constrained least-squares method is widely used for two-dimensional (2D) and three-dimensional (3D) inversion of apparent resistivity data sets. The Gauss–Newton method that recalculates the Jacobian matrix of partial derivatives for all iterations is commonly used to solve the least-squares equation. The quasi-Newton method has also been used to reduce the computer time. In this...

<p>Aqui, são desenvolvidos métodos de ordem m que conservam a forma dos primeira<br />ordem. Métodos têm uma taxa convergência maior sua versão primeira ordem.<br />Esses subsequências seu método precursor, onde alguns benefícios do uso<br />de processadores vetoriais e paralelos podem ser explorados. Os resultados numéricos obtidos com as<br />implementações mostr...

We study the optimal general rate of convergence of the n-point quadrature rules of Gauss and Clenshaw–Curtis when applied to functions of limited regularity: if the Chebyshev coefficients decay at a rate O(n−s−1) for some s > 0, Clenshaw–Curtis and Gauss quadrature inherit exactly this rate. The proof (for Gauss, if 0 < s < 2, there is numerical evidence only) is based on work of Curtis, Johns...

This paper describes numerical experiments with P-multigrid to corroborate analysis, validate the present implementation, and to examine issues that arise in the implementations of the various combinations of relaxation schemes, discretizations and P-multigrid methods. The two approaches to implement P-multigrid presented here are equivalent for most high-order discretization methods such as sp...

By including a Gauss-Bonnet interaction term into the brane-world effective action we give linear and non-linear treatments of the Einstein-Gauss-Bonnet gravity in warped spacetimes, where spacetime background can be described as a 3-brane embedded in an anti-de Sitter space of dimensions D ≥ 5 or as an intersection of higher dimensional branes with a four-dimensional brane intersection. Basica...

In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in n-dimensions. This family of solutions represents dynamic black holes and contains, as particular cases, not only the recently found Vaidya-Einstein-Gauss-Bonnet black hole, but also other ph...