The elliptic systems method (ESM), previously developed by the second and third authors,
is extended to the reconstruction of the diffusion coefficient of an inverse problem for the …

… (2.1) which corresponds to the initializing plane wave eik0 y(y < 0) without inclusions present.
We seek the functionu in the formu = u0+v(x, y), where the functionv represents the wave …

In this paper a new solution method for an inverse problem for the two-dimensional (2D)
Helmholtz equation is developed. The underlying application area which motivated this work is …

… of the equation in the form (5) δ x 2 + δ y 2 + δ z 2 1 + k l 2 h 2 30 U i , j , l + h 4 30 δ x 2 δ y
2 δ z 2 U i , j , l + k l 2 U i , j , l + h 2 6 ( δ x 2 δ y 2 + δ x 2 δ z 2 + δ y 2 δ z 2 ) 1 + k l 2 h 2 15 U i , …

… ×Δy, where Δx=2L x /M x , Δy=L y /M y with M x ,M y being the numbers of grid points in the
x and y directions, respectively. The boundary conditions are imposed by use of second order …

… Correspondence should be addressed to Yury Gryazin; gryazin@isu.edu … Copyright ©
2014 Yury Gryazin. This is an open access article distributed under the Creative Commons …

Screamer is a fast, highly optimized circuit-analysis code that was originally developed at
Sandia National Laboratories in 1985. Screamer is written in Fortran 77 (with some extensions…

Screamer was developed to solve a wide range circuits with a focus on pulsed-power
systems. Screamer is a highly optimized code written in Fortran 77. We will describe the …

… These are N x · N y independent tridiagonal linear systems which could be solved in O(N x ·
N y · … Gryazin "High-order approximation compact schemes for forward subsurface scattering …

… boundary conditions at the upper and lower y-axis boundaries and Neuman boundary conditions
at … Further details of this new method can be found in Gryazin et al. [2]. The result is the …