Stability of an upwind Petrov Galerkin discretization of convection diffusion equations

We study a numerical method for convection diffusion equations, in the regime of small viscosity. It can be described as an exponentially fitted conforming Petrov-Galerkin method. We identify norms for which we have both continuity and an inf-sup condition, which are uniform in mesh-width and viscosity, up to a logarithm, as long as the viscosity is smaller than the mesh-width or the crosswind diffusion is smaller than the streamline diffusion. The analysis allows for the formation of a boundary layer.Comment: v1: 18 pages. 2 figures. v2: 22 pages. Numerous details added and completely rewritten final proof. 8 pages appendix with old proo

The Power and Promise of Scaffolded Reading Instruction for Teaching Civic Literacy. A Response to Supporting Students to Read Complex Texts on Civic Issues: The Role of Scaffolded Reading Instruction in Democratic Education

In this response, we make the case for the power and promise of scaffolded reading instruction for teaching civic literacy—civic content knowledge and skills needed to both comprehend and take a stand on civic issues at a local, national, or global level. We argue the following: (a) Now, more than ever, students need to develop the skills and will to critically consume and analyze media sources; (b) the Reading Apprenticeship model is a promising approach for teaching students the knowledge and skills to navigate and analyze complex text; and (c) intentional collaboration between literacy and social studies educators (K–12 teachers, teacher educators, and professional development providers) is needed to prepare young people to navigate increasingly complex informational texts

Proceedings from the Second Annual Conference of the Norwegian Network for Implementation Research

In 2019, Norwegian implementation researchers formed a network to promote implementation research and practice in the Norwegian context. On November 19th, 2021, the second annual Norwegian implementation conference was held in Oslo. Ninety participants from all regions of the country gathered to showcase the frontiers of Norwegian implementation research. The conference also hosted a panel discussion about critical next steps for implementation science in Norway. The conference included 17 presentations from diverse disciplines within health and welfare services, including schools. The themes presented included stakeholder engagement, implementation mechanisms, evaluations of the implementation of specific interventions, the use of implementation guidelines and frameworks, the development and validation of implementation measurements, and barriers and facilitators for implementation. The panel discussion highlighted several critical challenges with the implementation of evidence-informed practices in Norway, including limited implementation competence and capacity among practice leaders and workforces, few opportunities for education in implementation science, limited implementation research in the Norwegian context, scarce funding possibilities for implementation research, and a lack of long-term perspectives on implementation processes. Overall, the 2021 Norwegian implementation conference showed an encouraging sign of a maturing field of science in Norway. The more voluminous proceedings from the 2020 conference called for several important advancements to improve implementation science and practice in Norway, and the 2021 conference indicates that steps have already been taken in favorable directions in terms of, for instance, research designs and measurements. However, there are still unexploited potentials for improvements in implementation research, funding, policies, and practice. Norwegian implementation researcher should be mindful of the challenges and potential pitfalls implementation science currently face as a scientific discipline.publishedVersio

The silent children.

Bacheloroppgave, barnehagelærerutdanning, 2016.Norsk: I denne oppgaven har det blitt undersøkt hva som kjennetegner de stille barna, og måter de blir møtt i barnehagen. Valg av metode har vært empirisk i form av kvalitativt intervju med fire barnehagelærere. De kom frem til at det finnes ulike typer stillhet, og dermed ulike kjennetegn på de stille barna. Barnehagelærerne var tydelige på at stillheten kan være både positiv og negativ, og trenger dermed ikke være et tegn på manglende deltakelse, men en posisjon barna kan innta. Samtidig vises det til at atferden barna viser kan tyde på at barna har det vanskelig. De voksne har en stor rolle å fylle, for å kunne møte disse barna på en akseptabel måte. Det pekes på at barna kan vise for dårlig sosial kompetanse, samtidig som viktigheten av vennskap og relasjoner kommer frem. Observerende, forståelsesfulle og tilstedeværende voksne er viktig i møte med disse barna.English: In this exercise it has been investigated what characterizes silent children and how they are met in nursery. The choice of method has been empirical, in terms of qualitative interviews with four nursery teachers. They concluded that there are different types of silence and thereby various characteristics of the silent children. Nursery teachers were clear on that silence can be both positive and negative and don’t need to be a sign of poor participation, but a position children can enjoy. But this kind of behaviour may also indicate that the children have a difficult time. The adults play an important role to meet these children in an acceptable way. It is pointed out that children may show poor social competence – which emphasizes the importance of friendships and relationships. Observing, responsive and present adults is important in the meeting with these children

Temperature-dependent electronic structure and ferromagnetism in the d=oo Hubbard model studied by a modfied perturbation theory

The infinite-dimensional Hubbard model is studied by means of a modified perturbation theory. The approach reduces to the iterative perturbation theory for weak coupling. It is exact in the atomic limit and correctly reproduces the dispersions and the weights of the Hubbard bands in the strong-coupling regime for arbitrary fillings. Results are presented for the hyper-cubic and an fcc-type lattice. For the latter we find ferromagnetic solutions. The filling-dependent Curie temperature is compared with the results of a recent Quantum Monte Carlo study.Comment: RevTeX, 5 pages, 6 eps figures included, Phys. Rev. B (in press), Ref. 16 correcte

A Project Based Approach to Statistics and Data Science

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty from numerous departments on campus to develop a list of topics, building a repository of real-world datasets from these faculty, and creating projects where students interface with these datasets to write lab reports aimed at consumers of statistics in other disciplines. The end result is students who are well prepared for interdisciplinary research, who are accustomed to coping with the idiosyncrasies of real data, and who have sharpened their technical writing and speaking skills

Threshold for Onset of Injury in Chinook Salmon from Exposure to Impulsive Pile Driving Sounds

The risk of effects to fishes and other aquatic life from impulsive sound produced by activities such as pile driving and seismic exploration is increasing throughout the world, particularly with the increased exploitation of oceans for energy production. At the same time, there are few data that provide insight into the effects of these sounds on fishes. The goal of this study was to provide quantitative data to define the levels of impulsive sound that could result in the onset of barotrauma to fish. A High Intensity Controlled Impedance Fluid filled wave Tube was developed that enabled laboratory simulation of high-energy impulsive sound that were characteristic of aquatic far-field, plane-wave acoustic conditions. The sounds used were based upon the impulsive sounds generated by an impact hammer striking a steel shell pile. Neutrally buoyant juvenile Chinook salmon (Oncorhynchus tshawytscha) were exposed to impulsive sounds and subsequently evaluated for barotrauma injuries. Observed injuries ranged from mild hematomas at the lowest sound exposure levels to organ hemorrhage at the highest sound exposure levels. Frequency of observed injuries were used to compute a biological response weighted index (RWI) to evaluate the physiological impact of injuries at the different exposure levels. As single strike and cumulative sound exposure levels (SELss, SELcum respectively) increased, RWI values increased. Based on the results, tissue damage associated with adverse physiological costs occurred when the RWI was greater than 2. In terms of sound exposure levels a RWI of 2 was achieved for 1920 strikes by 177 dB re 1 µPa2⋅s SELss yielding a SELcum of 210 dB re 1 µPa2⋅s, and for 960 strikes by 180 dB re 1 µPa2⋅s SELss yielding a SELcum of 210 dB re 1 µPa2⋅s. These metrics define thresholds for onset of injury in juvenile Chinook salmon

Computational Investigation into Heteroleptic Photoredox Catalysts Based on Nickel(II) Tris-Pyridinethiolate for Water Splitting Reactions

This work demonstrates a strategy to fine-tune the efficiency of a photoredox water splitting Ni(II) tris-pyridinethiolate catalyst through heteroleptic ligand design using computational investigation of the catalytic mechanism. Density functional theory (DFT) calculations, supported by topology analyses using quantum theory of atoms in molecules (QTAIM), show that the introduction of electron donating (ED) −CH3 and electron withdrawing (EW) −CF3 groups on the thiopyridyl (PyS–) ligands of the same complex can tune the pKa and E0, simultaneously. Computational modeling of two heteroleptic nickel(II) tris-pyridinethiolate complexes with 2:1 and 1:2 ED and EW −CH3 and −CF3 group containing PyS– ligands, respectively, suggests that the ideal combination of EW to ED groups is 2:1. This work also outlines the possibility of formation of a large number of isomers after the protonation of one of the pyridyl N atoms and suggests that to acquire unambiguous computational results it is necessary to carefully account for all possible geometric isomers

A model for optimal fleet composition of vessels for offshore wind farm maintenance

We present a discrete optimisation model that chooses an optimal fleet of vessels to support maintenance operations at Offshore Wind Farms (OFWs). The model is presented as a bi-level problem. On the first (tactical) level, decisions are made on the fleet composition for a certain time horizon. On the second (operational) level, the fleet is used to optimise the schedule of operations needed at the OWF, given events of failures and weather conditions