This paper presents a new class of collocation methods using cubic splines for solving elliptic partial differential equations (PDEs). The error bounds obtained for these methods are optimal. The methods are formulated and a convergence analysis is carried out for a broad class of elliptic PDEs. Experimental results confirm the optimal convergence and indicate that these methods are computationally more efficient than methods based on either collocation with Hermite cubics or on the Galerkin method with cubic splines. Various direct and iterative methods have been applied for the solution of cubic spline collocation methods.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTFluorescence properties of dansyl groups covalently bonded to the surface of oxidatively functionalized low-density polyethylene filmStephen Randall Holmes-Farley and George M. WhitesidesCite this: Langmuir 1986, 2, 3, 266–281Publication Date (Print):May 1, 1986Publication History Published online1 May 2002Published inissue 1 May 1986https://pubs.acs.org/doi/10.1021/la00069a002https://doi.org/10.1021/la00069a002research-articleACS PublicationsRequest reuse permissionsArticle Views595Altmetric-Citations66LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts
Reports that a rising trend in childhood overweight (and obesity) exists in Egypt, with the prevalence higher than in most countries in the Middle East and North Africa region. The proportion of overweight children with stunting has also increased in the last few decades. Key determinants of overweight and obesity in children include urban living, maternal obesity, and a calorie-dense diet. High levels of overnutrition among women of reproductive age predominate, with more than 80 percent of such women overweight or obese. More than 10 percent of women show signs of both obesity and anemia. Based on data from the Egypt Demographic and Health Survey and the literature, maternal obesity remains a critical factor in the development of childhood obesity. Key determinants of overweight and obesity among women of reproductive age include sedentary lifestyles and consumption of energy-dense foods, with women from richer households and urban areas slightly more likely to prove overweight.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTTrapping of free alkyl radical intermediates in the reaction of alkyl bromdies with magnesiumLynnette M. Lawrence and George M. WhitesidesCite this: J. Am. Chem. Soc. 1980, 102, 7, 2493–2494Publication Date (Print):March 1, 1980Publication History Published online1 May 2002Published inissue 1 March 1980https://pubs.acs.org/doi/10.1021/ja00527a076https://doi.org/10.1021/ja00527a076research-articleACS PublicationsRequest reuse permissionsArticle Views346Altmetric-Citations49LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-Alertsclose Get e-Alerts
Significant increases in apparent flow strength are observed when non‐uniform plastic deformation of metals occurs at the scale ranging from roughly one to ten microns. Several basic plane strain problems are analysed numerically in this paper based on a new formulation of strain gradient plasticity. The problems are the tangential and normal loading of a finite rectangular block of material bonded to rigid platens and having traction‐free ends, and the normal loading of a half‐space by a flat, rigid punch. The solutions illustrate fundamental features of plasticity at the micron scale that are not captured by conventional plasticity theory. These include the role of material length parameters in establishing the size dependence of strength and the elevation of resistance to plastic flow resulting from constraint on plastic flow at boundaries. Details of the finite element method employed in the numerical analysis of the higher order gradient theory will be discussed and related to prior formulations having some of the same features. Copyright © 2003 John Wiley & Sons, Ltd.
Nanoscale light-emitting diodes (nanoLEDs) with colors spanning from the ultraviolet to near-infrared region of the electromagnetic spectrum were prepared using a solution-based approach in which emissive electron-doped semiconductor nanowires were assembled with nonemissive hole-doped silicon nanowires in a crossed nanowire architecture. Single- and multicolor nanoLED devices and arrays were made with colors specified in a predictable way by the bandgaps of the III-V and II-VI nanowire building blocks. The approach was extended to combine nanoscale electronic and photonic devices into integrated structures, where a nanoscale transistor was used to switch the nanoLED on and off. In addition, this approach was generalized to hybrid devices consisting of nanowire emitters assembled on lithographically patterned planar silicon structures, which could provide a route for integrating photonic devices with conventional silicon microelectronics. Lastly, nanoLEDs were used to optically excite emissive molecules and nanoclusters, and hence could enable a range of integrated sensor/detection "chips" with multiplexed analysis capabilities.