Oscillation-free method for semilinear diffusion equations under noisy initial conditions

Noise in initial conditions from measurement errors can create unwanted oscillations which propagate in numerical solutions. We present a technique of prohibiting such oscillation errors when solving initial-boundary-value problems of semilinear diffusion equations. Symmetric Strang splitting is applied to the equation for solving the linear diffusion and nonlinear remainder separately. An oscillation-free scheme is developed for overcoming any oscillatory behavior when numerically solving the linear diffusion portion. To demonstrate the ills of stable oscillations, we compare our method using a weighted implicit Euler scheme to the Crank-Nicolson method. The oscillation-free feature and stability of our method are analyzed through a local linearization. The accuracy of our oscillation-free method is proved and its usefulness is further verified through solving a Fisher-type equation where oscillation-free solutions are successfully produced in spite of random errors in the initial conditions.Comment: 19 pages, 9 figure

Development and application of operational techniques for the inventory and monitoring of resources and uses for the Texas coastal zone

The author has identified the following significant results. The most significant ADP result was the modification of the DAM package to produce classified printouts, scaled and registered to U.S.G.S., 71/2 minute topographic maps from LARSYS-type classification files. With this modification, all the powerful scaling and registration capabilities of DAM become available for multiclass classification files. The most significant results with respect to image interpretation were the application of mapping techniques to a new, more complex area, and the refinement of an image interpretation procedure which should yield the best results

Development and application of operational techniques for the inventory and monitoring of resources and uses for the Texas coastal zone. Volume 1: Text

The author has identified the following significant results. Image interpretation and computer-assisted techniques were developed to analyze LANDSAT scenes in support of resource inventory and monitoring requirements for the Texas coastal region. Land cover and land use maps, at a scale of 1:125,000 for the image interpretation product and 1:24,000 for the computer-assisted product, were generated covering four Texas coastal test sites. Classification schemes which parallel national systems were developed for each procedure, including 23 classes for image interpretation technique and 13 classes for the computer-assisted technique. Results indicate that LANDSAT-derived land cover and land use maps can be successfully applied to a variety of planning and management activities on the Texas coast. Computer-derived land/water maps can be used with tide gage data to assess shoreline boundaries for management purposes

Development and application of operational techniques for the inventory and monitoring of resources and uses for the Texas coastal zone. Volume 2: Appendices

There are no author-identified significant results in this report

Avoiding repair, maintaining face: Responding to hard-to-interpret talk from people living with dementia in the acute hospital

People living with dementia (PLWD) are almost always admitted to the acute hospital for reasons unrelated to their dementia, finding themselves in the unfamiliar environment of a Health Care of Older Persons acute ward. The effect of this environment creates a challenge not just for a PLWD themselves, but also for the staff who care for them. Concerns have been raised by both policy makers and staff about the quality of communication between hospital staff and PLWD. Using conversation analysis, we examined 41 video recordings of healthcare professional (HCP)/PLWD interactions collected across three acute inpatient wards in a large teaching hospital in the UK. In this paper, we focus our analysis on hard-to-interpret talk (talk where there are problems in hearing, speaking and/or understanding), and the ways in which healthcare professionals respond to this. Repair of hard- to- interpret talk is common in ordinary interaction, but we find that HCPs in this setting use a range of approaches to avoid direct repair. These approaches are: the use of non-committal responses and continuers such as ‘yeah’ or nods; the use of repetitions or partial repetitions; responding to the emotional tone displayed in the PLWD's utterance; closing the current topic and shifting to the next; and treating the PLWD's talk as related to the task at hand. We suggest that the use of these approaches may be one way in which HCPs manage respecting the personhood of the PLWD, by preserving face and enabling a continuation of an interaction in which the PLWD can take an active part. Our paper provides an empirical demonstration of the high level of interactional skill involved in dementia care work. It also illustrates how these skills can be described and specified, and hence incorporated into the recommendations and tips that are produced for communication with PLWD

Development and application of operational techniques for the inventory and monitoring of resources and uses for the Texas coastal zone

The author has identified the following significant results. Four LANDSAT scenes were analyzed for the Harbor Island area test sites to produce land cover and land use maps using both image interpretation and computer-assisted techniques. When evaluated against aerial photography, the mean accuracy for three scenes was 84% for the image interpretation product and 62% for the computer-assisted classification maps. Analysis of the fourth scene was not completed using the image interpretation technique, because of poor quality, false color composite, but was available from the computer technique. Preliminary results indicate that these LANDSAT products can be applied to a variety of planning and management activities in the Texas coastal zone

Lead-Acid Battery Model Under Discharge with a Fast Splitting Method

A mathematical model of a valve-regulated lead-acid battery under discharge is presented as simplified from a standard electrodynamics model. This nonlinear reaction–diffusion model of a battery cell is solved using an operator splitting method to quickly and accurately simulate sulfuric acid concentration. This splitting method incorporates one-sided approximation schemes to preserve continuity over material interfaces encompassing discontinuous parameters. Numerical results are compared with measured data by calculating battery voltage from modeled acid concentration as derived from the Nernst equation

Post-translocational folding of secretory proteins in Gram-positive bacteria

AbstractThe transport of proteins from their site of synthesis in the cytoplasm to their functional location is an essential characteristic of all living cells. In Gram-positive bacteria the majority of proteins that are translocated across the cytoplasmic membrane are delivered to the membrane–cell wall interface in an essentially unfolded form. They must then be folded into their native configuration in an environment that is dominated by a high density of immobilised negative charge—in essence an ion exchange resin. It is essential to the viability of the cell that these proteins do not block the translocation machinery in the membrane, form illegitimate interactions with the cell wall or, through intermolecular interactions, form insoluble aggregates. Native Gram-positive proteins therefore have intrinsic folding characteristics that facilitate their rapid folding, and this is assisted by a variety of folding factors, including enzymes, peptides and metal ions. Despite these intrinsic and extrinsic factors, secretory proteins do misfold, particularly if the cell is subjected to certain types of stress. Consequently, Gram-positive bacteria such as Bacillus subtilis encode membrane- and cell wall-associated proteases that act as a quality control machine, clearing misfolded or otherwise aberrant proteins from the translocase and the cell wall

EOS MLS observations of dehydration in the 2004-2005 polar winters

We prove various estimates for the first eigenvalue of the magnetic Dirichlet Laplacian on a bounded domain in two dimensions. When the magnetic field is constant, we give lower and upper bounds in terms of geometric quantities of the domain. We furthermore prove a lower bound for the first magnetic Neumann eigenvalue in the case of constant field.Comment: 19 page

What do young athletes implicitly understand about psychological skills?

One reason sport psychologists teach psychological skills is to enhance performance in sport; but the value of psychological skills for young athletes is questionable because of the qualitative and quantitative differences between children and adults in their understanding of abstract concepts such as mental skills. To teach these skills effectively to young athletes, sport psychologists need to appreciate what young athletes implicitly understand about such skills because maturational (e.g., cognitive, social) and environmental (e.g., coaches) factors can influence the progressive development of children and youth. In the present qualitative study, we explored young athletes’ (aged 10–15 years) understanding of four basic psychological skills: goal setting, mental imagery, self-talk, and relaxation. Young athletes (n = 118: 75 males and 43 females) completed an open-ended questionnaire to report their understanding of these four basic psychological skills. Compared with the older youth athletes, the younger youth athletes were less able to explain the meaning of each psychological skill. Goal setting and mental imagery were better understood than self-talk and relaxation. Based on these findings, sport psychologists should consider adapting interventions and psychoeducational programs to match young athletes’ age and developmental level