These notes are based on lectures given in a Short Course on Theoretical and Numerical Fluid Mechanics in Vancouver, British Columbia, Canada, July 27-28, 1996, and at several other places since then. They provide an introduction to recent developments in the numerical solution of the Navier-Stokes equations by the finite element method. The material is presented in eight sections:

These notes are an expanded form of lectures to presented at the C.I.M.E. summer school in representation theory in Venice, June 2004. The sections of this article roughly follow the five lectures given. The first three lectures (sections) are meant to give an introduction to an audience of mathematicians (or mathematics graduate students) to quantum computing. No attempt is given to describe a...

ARM-family processors are positioned among the leaders in key embedded applications. Many presentations and short lectures have already addressed the ARM’s applications and capabilities. In this introduction, we intend to discuss the ARM’s instruction set uniqueness from the performance prospective. This introduction is also trying to follow the approaches established by two outstanding textboo...

The purpose of these lectures is to give a short introduction into a very vast field of numerical simulations for cosmological applications. I focus on major features of the simulations: the equations, main numerical techniques, effects of resolution, and methods of halo identification.

In this paper the Macromedia MX software application for training and lectures preparation is presented. On the basis of earlier experiences short characteristics and new possibilities of this tool kit are also discussed. Macromedia MX software is used all over the word coming up to current standards and specifications.

In the next two lectures, we look at lower bounds conjectured on two important and well-known problems. One is the All-Pairs-Shortest-Path(APSP) problem which is believed to be truly cubic(i.e. there is no exact algorithm for this problem which runs in time O(n ) for a constant > 0). The second problem considered is the 3−SUM problem which is conjectured to be truly quadratic(i.e. there is no e...

The geometric study of thermodynamics began with Gibbs’s reformulation of the theory in terms of equilibrium states rather than processes [1]. The surface of the set of equilibrium states was Gibbs’s primary object of study and foreshadowed much of the modern differential geometric theory manifolds. Gibbs surfaces is where the geometric theory stood when I became a graduate student. The story t...

In the next two lectures, we will continue to expand our toolbox for computing in frequency domain, by adding two important computational tools. The first, the Fast Fourier Transform (FFT) is a family of algorithms for efficiently computing the Discrete Fourier Transform. These algorithms are of great practical importance, as theymake it possible to perform frequency domain analysis of very lar...

KENNETH DEWHURST, Willis's Oxford lectures, Oxford, Sandford Publications, 1980, 8vo, pp. x, 182, illus., £9.00. In 1660, Thomas Willis, then aged thirty-nine, was appointed the fourth Sedleian Professor of Natural Philosophy at Oxford. Provision for the chair had been made in the will of Sir William Sedley in 1618. Although the professor was expected to discourse on Aristotelian physics, Willi...