â â â â â â â â â  the inner meaning of the holy quran â  â  hamid ahmadian * â â â abstractâ  the inner self (‘batin’) in the quran is set in opposition to the outer appearance (‘zaher’). ‘batin’ may have a variety of interpretations the most well-known of which are intended to be documented in this paper. different interpretations of ‘batin’ based on different opinions are as ...

Title of dissertation: LINEAR STABILITY ANALYSIS USING LYAPUNOV INVERSE ITERATION Minghao Wu, Doctor of Philosophy, 2012 Dissertation directed by: Professor Howard Elman Department of Computer Science Institute for Advanced Computer Studies In this dissertation, we develop robust and efficient methods for linear stability analysis of large-scale dynamical systems, with emphasis on the incompres...

This thesis deals with the solution of a nonlinear inverse problem arising in digital image registration. In image registration one seeks to compute a transformation between two images such that they become more similar in some sense. In the first part, we define the problem as the minimization of a regularized nonlinear least-squares functional, which measures the image difference and smoothne...

In this work, incremental sheet forming of a complicated shape is investigated experimentally. Two point incremental forming with negative and positive dies are employed for manufacturing of a complicated shape with positive and negative truncated cones. The material is aluminum alloy 3105 with a thickness of 1 mm. The effects of process parameters such as sequence of positive and negative form...

Given a regular matrix pencil A + μE, we consider the problem of determining the nearest singular matrix pencil with respect to the Frobenius norm. We present new approaches based on the solution of matrix differential equations for determining the nearest singular pencil A+∆A+ μ(E +∆E), one approach for general singular pencils and another one such that A+∆A and E + ∆E have a common left/right...

We consider implicit integration methods for the numerical solution of sti initial-value problems. In applying such methods, the implicit relations are usually solved by Newton iteration. However, it often happens that in subintervals of the integration interval the problem is nonsti or mildly sti with respect to the stepsize. In these nonsti subintervals, we do not need the (expensive) Newton ...

We study methods for the numerical solution of the Helmholtz equation for twodimensional applications in geophysics. The common framework of the iterative methods in our study is a combination of an inner iteration with a geometric multigrid method used as a preconditioner and an outer iteration with a Krylov subspace method. The preconditioning system is based on either a pure or shifted Helmh...

When rails are laid in a railway track, small gaps are left between the ends of adjoining rails to allow for the expansion of the rails when the temperature rises. Rail joints are provided to form a continuous rail path which are normally laid in standard lengths bolted together by fishplates. When two rail joints are exactly opposing each other, they are called square &#10&#10(side by side) jo...

C-V model can self-adapt to the changes of curve topology but requires more iterations and needs more computing time. Graph cuts algorithm is good at getting the global optimum in a short time but not suitable for concave object extraction. To overcome the flaws of these two algorithms, an optimized iteration algorithm has been proposed. First the initial contour is deformed with an improved C-...

This article continues prior work of the authors on the combined a posteriori analysis for the discretization and iteration errors in the finite element approximation of linear elliptic problems to the nonlinear case. The underlying theoretical framework is again that of the Dual Weighted Residual (DWR) method for goal-oriented error control. The accuracy in the algebraic solution process can b...