We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum princ...

Linear orderings defined through space-filling curves are often applied to quickly partition graphs arising in finite element simulations. In applications with constant meshes but a rapidly changing load per element, an ordering has to be determined only once and all subsequent partitionings can be computed very quickly through a simple interval splitting. However, partitionings based on space-...

OBJECTIVES To examine SLEDAI-2000 cut-off scores for definition of active SLE and to determine the sensitivity to change of SLEDAI-2000 for the assessment of SLE disease activity and minimal clinically meaningful changes in score. METHODS Data from two multi-centre studies were used in the analysis: in a cross-sectional and a longitudinal fashion. At every assessment, data were collected on S...

We describe a framework for measuring TRE at the tip of an optically tracked pointing stylus. Our approach relied on a robotic manipulator equipped with a spherical wrist to collect large amounts of tracking data from well defined paths. Fitting the tracking data to planes, circles, and spheres allowed us to derive estimates of FLE and precisely localize target locations. A preliminary analysis...

The authors present a simple method to estimate the three-dimensional shape of a face from an input image using a single reference model, based on least squares between the output of the linear-nonlinear (LN) neuronal model applied to blocks from an intensity image and blocks from a depth reference model. The authors present the results obtained by varying the LN model parameters and estimate t...

This paper presents a computational model for pattern analysis and classification using symmetry group theory. The model was designed to be part of an integrated management system for pattern design cataloguing and retrieval in the textile and tile industries. While another reference model [6], uses intensive image processing operations, our model is oriented to the use of graphic entities. The...

The purpose of these notes is to provide a quick introduction to the moduli of elliptic curves. There are many excellent and thorough references on the subject, ranging from the slightly archaic [Igu59] and [Shi94] to the more difficult [KM85] and [DR73]. Brian’s forthcoming book on the Ramanujan conjecture also covers some of this material and includes a careful comparison of the transcendenta...

This paper presents a general data-parallel formulation for a class of problems based on the divide and conquer strategy. A combination of three techniques—mapping vectors, index-digit permutations and space-filling curves—are used to reorganize the algorithmic dataflow, providing great flexibility to efficiently exploit data locality and to reduce and optimize communications. In addition, thes...

Space-filling curves have been widely used in mathematics and to transform multi-dimensional problems into one-dimensional forms. For scientific applications, ordering data or computation along spacefilling curves can be useful for exploiting locality when partitioning onto parallel systems or when restructuring to exploit memory hierarchy. In this paper, we present an efficient approach for en...

STUDY OBJECTIVE We seek to evaluate the diagnostic performance of the procalcitonin test for the diagnosis of bacteremia in the emergency department (ED) population. METHODS We conducted a search of MEDLINE, bibliographies of previous systemic reviews, and pertinent national meeting research abstracts. We included studies that assessed the diagnostic accuracy of procalcitonin for bacteremia, ...