Two integral relations derived from the Kohn variational principle (KVP) are used for describing scattering states. In usual applications the KVP requires the explicit form of the asymptotic behavior of the scattering wave function. This is not the case when the integral relations are applied since, due to their short-range nature, the only condition for the scattering wave function is that it ...

Gafchromic XRCT radiochromic film is a self-developing high sensitivity radiochromic film product which can be used for assessment of delivered radiation doses which could match applications such as computed tomography (CT) dosimetry. The film automatically changes colour upon irradiation changing from a yellow to green/brown colour. The absorption spectra of Gafchromic XRCT radiochromic film a...

We prove that the ENO reconstruction and ENO interpolation procedures are stable in the sense that the jump of the reconstructed ENO point values at each cell interface has the same sign as the jump of the underlying cell averages across that interface. Moreover, we prove that the size of these jumps after reconstruction relative to the jump of the underlying cell averages is bounded. Similar s...

and Applied Analysis 3 exist and are bounded for a self-adjoint positive operator A. Here B 1 2 ( τA √ A 4 τ2A ) , K ( I 2τA 5 4 τA 2 )−1 . 2.2 Theorem 2.1. For any gk, 1 ≤ k ≤ N − 1, and fk,−N 1 ≤ k ≤ 0, the solution of problem 1.2 exists and the following formula holds: uk ( I − R2N )−1{[ R − R2N−k ] u0 [ RN−k − R k ][ Pu0 − τ 0 ∑ s −N 1 P N−1Gfs μ ] − [ RN−k − R k ] I τB 2I τB −1B−1 N−1 ∑ s ...

The initial-value problem for hyperbolic equation d2u(t)/dt2 +A(t)u(t) = f (t) (0 ≤ t ≤ T), u(0) = φ,u(0) = ψ in a Hilbert space H with the self-adjoint positive definite operators A(t) is considered. The second order of accuracy difference scheme for the approximately solving this initial-value problem is presented. The stability estimates for the solution of this difference scheme are establi...

background: breast is one of the main radiological sensitive organs, hence it is important to evaluate absorbed dose to this organ especially to the glandular parts. it is the aim of this study to measure mean glandular dose and image contrast in terms of different mammographic parameters. materials and methods: in this study two mammography machines located at said-al shohada (giotto) and shah...

Background and PurposeConventional workflows for dose calculations require conversions between Hounsfield Units (HU) the mass or electron density Computed Tomography (CT) images in Treatment Planning System (TPS). These are scanner– mostly kVp–dependent. A representation reconstruction at CT level can potentially simplify workflow. This study aimed to investigate agreement these two methods pat...