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 ...

objectives to explore adequacy of nursing documentation and nurses' knowledge about the process. materials and methods the study was a cross-sectional study. the data were collected from 170 nurses who selected to participate in the study with census sampling method from 32 medical–surgical units at four university hospitals in tabriz. for assessing the quality of nurses' documents, 2...

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...

This paper draws from a project that used Haug’s (1987) theory and method of memory-work to study menstrual experiences of eight Australian women. As memory-workers, we wrote memories about menstruation and we discussed and analyzed them in relation to each other: we glimpsed pride and wonderment and we unmasked anger and shame. We argued about theory, about research style, and about politics, ...

background tomosynthesis is a new technology of digital mammography that enables the acquisition of a three - dimensional image and allows visualization of cancers not apparent by conventional mammography. ultrasound (us) is also used for tumor monitoring, which is highly operator dependent and has some problems with reproducibility. us is also an easily available and noninvasive modality. our ...