484 research outputs found
American Recovery and Reinvestment Act: A Guide to Housing Related Opportunities for Making Connections Communities
Outlines stimulus funding for housing-related programs and coordinated strategies to help low-income communities benefit. Suggests policies to promote, including advancing green and healthy housing and addressing the foreclosure crisis. Lists resources
Krylov Subspace Spectral Methods for PDEs in Polar and Cylindrical Geometries
As a result of stiff systems of ODEs, difficulties arise when using time stepping methods for PDEs. Krylov subspace spectral (KSS) methods get around the difficulties caused by stiffness by computing each component of the solution independently. In this dissertation, we extend the KSS method to a circular domain using polar coordinates. In addition to using these coordinates, we will approximate the solution using Legendre polynomials instead of Fourier basis functions. We will also compare KSS methods on a time-independent PDE to other iterative methods. Then we will shift our focus to three families of orthogonal polynomials on the interval (−1,1), with weight function ω(x) ≡ 1. These families of polynomials satisfy the boundary conditions (1) p(1) = 0, (2) p(−1) = p(1) = 0, and (3) p(1) = p′(1) = 0. The first two boundary conditions two arise naturally from PDEs defined on a disk with Dirichlet boundary conditions and the requirement of regularity in Cartesian coordinates. The third boundary condition includes both Dirichlet and Neumann boundary conditions for a higher-order PDE. The families of orthogonal polynomials are obtained by orthogo- nalizing short linear combinations of Legendre polynomials that satisfy the same boundary conditions. Then, the three-term recurrence relations are derived. Finally, it is shown that from these recurrence relations, one can efficiently compute the corresponding recurrences for generalized Jacobi polynomials (GJPs) that satisfy the same boundary conditions
Sui Generis Intellectual Property Law Reform: Issues for Australia
This article begins by describing the current range of intellectual property rights in Australia (statutory and common law/equity), then canvasses recent reforms that seek to address some of the problems raised by new innovation practices. A particular focus of the article is the piecemeal nature of the law reform process which continues to treat the law in this area in a highly compartmentalised fashion. Some tentative proposals for improvement are made at the end
Manon Balletti: A Teenage Dream of Love in Eighteenth-Century Europe
About the author
Megan Richardson is recent graduate of Saint Martin\u27s University in Lacey, Washington with a BA (Hons) in Interdisciplinary Studies with concentrations in English and History. Her scholarly interests include social and cultural European history, women\u27s history, and childbirth
Is data protection the new privacy?
Article by Megan Richardson, University of Melbourne, Australia giving a comparative overview of developments in data protection law, its application in common law jurisdictions and in EU law. This article was substantially written during a period of research leave at the Institute of Advanced Legal Studies in London between September and December 2012 and aspects were canvassed at a faculty seminar held at the Dickson Poon School of Law in October 2012 and a public seminar at the Institute for Advanced Legal Studies in December 2012, as well as in conversations with particular individuals
A Comparison of Two Different Methods for Solving Biharmonic Boundary Valve Problems
We use the methods of compactly supported radial basis functions (CS-RBFs) and Delta-shaped basis functions (DBFs) to obtain the numerical solution of a two-dimensional biharmonic boundary value problem. The biharmonic equation is difficult to solve due to its existing fourth order derivatives, besides it requires more than one boundary conditions on the same part of the boundary. In this thesis, we use either a one-level or a two-level technique for constructing the approximate solution in the context of Kansa’s collocation method. This thesis will compare the accuracy of the methods of CS-RBFs and DBFs when applied to the biharmonic boundary value problem. Both methods can be used on an irregular shaped domain. Numerical results show that the DBF approach is superior than that of the CS-RBF
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