The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory the large-Nc approximation. We show that squared amplitudes emission of soft energy-ordered gluons are correctly embedded this equation, and explicitly verify they coincide with those derived our previous work limit up sixth order strong coupling. perform analytical calculations four...

This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....

Generating numerical solutions to the eikonal equation and its many variations has a broad range of applications in both the natural and computational sciences. Efficient solvers on cutting-edge, parallel architectures require new algorithms that may not be theoretically optimal, but that are designed to allow asynchronous solution updates and have limited memory access patterns. This paper pre...

Applying the fast marching method to solve the eikonal equation on the 3-D SEG/EAGE salt-dome model demonstrates two key features of the method, stability and efficiency. Such an application, also reveals some of the accuracy deficiencies of the Cartesian-coordinate implementation of the fast marching method. The accuracy is improved by applying the fast marching method in spherical coordinates...

Exponentially localized solutions of the Klein-Gordon equation for two and three space variables are presented. The solutions depend on four free parameters. For some relations between the parameters, the solutions describe wave packets filled with oscillations whose amplitudes decrease in the Gaussian way with distance from a point running with group velocity along a straight line. The solutio...

This paper proposes a surface reconstruction approach that is based on fronts propagation over weighted graphs of arbitrary structure. The problem of surface reconstruction from a set of points has been extensively studied in the literature so far. The novelty of this approach resides in the use of the eikonal equation using Partial difference Equation on weighted graph. It produces a fast algo...

S U M M A R Y The growth of the Earthscope/USArray Transportable Array (TA) has prompted the development of new methods in surface wave tomography that track phase fronts across the array and map the traveltime field for each earthquake or for each station from ambient noise. Directionally dependent phase velocities are determined locally by measuring the gradient of the observed traveltime fie...

The conservation equation for a monochromatic field with arbitrary polarization propagating in an inhomogeneous transparent medium is expressed in terms of amplitude and phase variables. The expressions obtained for linearly polarized fields are compared with the results obtained in the eikonal approximation. The electric field wave equation is written in terms of intensity and phase variables....