A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer

Dual-phase-lagging (DPL) models constitute a family of non-Fourier models of heat conduction that allow for the presence of time lags in the heat flux and the temperature gradient. These lags may need to be considered when modeling microscale heat transfer, and thus DPL models have found application in the last years in a wide range of theoretical and technical heat transfer problems. Consequently, analytical solutions and methods for computing numerical approximations have been proposed for particular DPL models in different settings. In this work, a compact difference scheme for second order DPL models is developed, providing higher order precision than a previously proposed method. The scheme is shown to be unconditionally stable and convergent, and its accuracy is illustrated with numerical examples.

European elections: from ‘second-order’ elections to ‘first-order supranational’ elections, How can a ‘first-order supranational’ European election be created? European Policy Brief No. 34, April 2014

Starting from the idea that European elections cannot be considered as purely second order elections, the author gathers some proposals in order to encourage a more effective electoral process. According to the author, if political leaders adopt these reforms, it could transform gradually the European elections into genuine ‘first-order supranational elections’.

European elections: from ‘second-order’ elections to ‘first-order supranational’ elections: How can a ‘first-order supranational’ European election be created?. European Policy Brief No. 35, April 2015

Starting from the idea that European elections cannot be considered as purely second order elections, the author gathers some proposals in order to encourage a more effective electoral process. According to the author, if political leaders adopt these reforms, it could transform gradually the European elections into genuine ‘first-order supranational elections’.

A numerical model for shoaling and refraction of second-order cnoidal waves over an irregular bottom /

Mode of access: Internet.

First and second order beam optics of a curved, inclined magnetic field boundary in the impulse approximation /

"AEC Contract AT(04-3)-400."

Researches on curves of the second order, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis; also several of the geometrical conclusions of M. Charles are analytically resolved, together with many properties entirely original.

Available on demand as hard copy or computer file from Cornell University Library.

Elements of analytical geometry: embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order.

Mode of access: Internet.

Elements of analytical geometry; embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order,

Mode of access: Internet.

Uniformly valid second-order solution for supersonic flow over cruciform surfaces,

"CM-1019."

Uniqueness for boundary value problems for second order finite difference equations

We establish maximum principles for second order difference equations and apply them to obtain uniqueness for solutions of some boundary value problems.

First- and second-order stimulus length selectivity in New World monkey striate cortex

Motion is a powerful cue for figure-ground segregation, allowing the recognition of shapes even if the luminance and texture characteristics of the stimulus and background are matched. In order to investigate the neural processes underlying early stages of the cue-invariant processing of form, we compared the responses of neurons in the striate cortex (V1) of anaesthetized marmosets to two types of moving stimuli: bars defined by differences in luminance, and bars defined solely by the coherent motion of random patterns that matched the texture and temporal modulation of the background. A population of form-cue-invariant (FCI) neurons was identified, which demonstrated similar tuning to the length of contours defined by first- and second-order cues. FCI neurons were relatively common in the supragranular layers (where they corresponded to 28% of the recorded units), but were absent from layer 4. Most had complex receptive fields, which were significantly larger than those of other V1 neurons. The majority of FCI neurons demonstrated end-inhibition in response to long first- and second-order bars, and were strongly direction selective, Thus, even at the level of V1 there are cells whose variations in response level appear to be determined by the shape and motion of the entire second-order object, rather than by its parts (i.e. the individual textural components). These results are compatible with the existence of an output channel from V1 to the ventral stream of extrastriate areas, which already encodes the basic building blocks of the image in an invariant manner.

Solvability of singular second order m-point boundary value problems of Dirichlet type

Let f : [0, 1] x R2 -> R be a function satisfying the Caxatheodory conditions and t(1 - t)e(t) epsilon L-1 (0, 1). Let a(i) epsilon R and xi(i) (0, 1) for i = 1,..., m - 2 where 0 < xi(1) < xi(2) < (...) < xi(m-2) < 1 - In this paper we study the existence of C[0, 1] solutions for the m-point boundary value problem [GRAPHICS] The proof of our main result is based on the Leray-Schauder continuation theorem.