The first numerical solution of the 3-D travel time tomography problem is presented. globally convergent convexification method applied.

Properties of the domain wall (kink) solution in the 5 dimensional RandallSundrum model are examined both analytically and numerically. The configuration is derived by the bulk Higgs mechanism. We focus on 1) the convergence property of the solution, 2) the stableness of the solution, 3) the non-singular property of the Riemann curvature, 4) the behaviours of the warp factor and the Higgs field...

this paper presents an exact analytical solution for two-dimensional conductive heat transfer in spherical composite pressure vessels .the vessels are in spherical shape and fibers are winded in circumferential direction. the analytical solution is obtained under the general boundary conditions which consist of convection, conduction and radiation inside/outside of vessel. the heat transfer equ...

It is shown that a recent article by Z.-D. Zhang is in error and violates well-known theorems. After receiving an electronic reprint of Zhang's recent paper [1] some time ago, I have had an email exchange with the author pointing out a number of errors in the paper, which unfortunately invalidate all its main results. As now also follow-up papers [2, 3] have appeared using Zhang's erroneous res...

An exact analytical solution to the one-dimensional compressible Euler equations in form of a nonlinear simple wave is obtained. In contrast well-known Riemann solution, resulting and time its collapse t 0 have an explicit dependence on initial conditions. For non-zero dissipation regularization over unlimited interval justified. Based this equations, closed description for any single- multi-po...