This paper aims to provide a study of a variety of concepts involving power behavior of eventually positive functions which, falling under the umbrella of the Theory of Regular Variation and its second order refinements, are prone to application in Extreme Value Theory.
Time, space and accuracy-order refinement studies are performed to examine each of these effects separately.
Furthermore, for the sharp regression discontinuity design, we show that the empirical likelihood statistic admits a higher-order refinement, so-called the Bartlett correction.
Maybe that's because Mr. Maier can't help himself — he's a designer who inevitably seeks order and refinement, whereas someone like Ms. Kawakubo is completely comfortable with the opposite, and very often seeks it.
In the hp-version adaptation, one has the option to split an element (h-refinement) or to increase its approximation order (p-refinement).
It also returns meta data about the results such as their ordering and refinement options.
A local second-order grid refinement scheme for the lattice BGK model is proposed in this work.
The local increase in the expansion order (p-refinement) at areas of high strain rates or vorticity magnitude results in an increase of the order of accuracy in the region of shear layers and vortices.
Because of its strong uniform formal foundation, built upon lattice theory and higher-order logic, Refinement Calculus bridges the gap between many popular reasoning styles, including agent based reasoning, contract based reasoning, and use of game theory.
The adaptive mechanics consist of uniform temporal refinement/coarsening, and several localized spatial refinements: order adaptation, hanging-node refinement, and unstructured mesh optimization.
To achieve this objective, members of the MSWG will develop and operate a family of flexible, pilot-scale mineral carbonation units that will enable second-order process refinements and engineering development on a commercially relevant scale.
