Abstract We discuss a pointwise numerical differentiation formula on multivariate scattered data, based the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s monomial basis. Error bounds for approximation partial derivatives any order compatible with function regularity are provided, as well sensitivity estimates to functional perturbations, terms inver...

Due to the relatively low construction rate of new buildings in Europe, the energetic performance of the building stock can mainly be improved by retrofitting existing buildings. Current methods to derive and assess retrofit measures require either on-site inspection by an expert consultant and code based approaches, or numerical simulations using a building energy model that needs to be first ...

The growth plate lacks vascular tissues and is solely composed of chondrocytes. The growth plate is composed of three layers, i.e., the resting, proliferating and hyper-trophic chondrocyte layers. The chon-drocytes in the resting and proliferating layers proliferate and then they uniformly maturate toward the diaphysis to become hypertrophic chondrocytes, which lose the ability to proliferate. ...

introduction: considering the importance of co-culture in differentiation of embryonic stem cells, the aim of this study was evaluation of the effect of co-culturing fetal liver stroma cells with p19 cells on the line of differentiation. materials and methods: for this purpose, p19 cells were cultured directly in semisolid medium. these cells proliferated and primarily differentiated to colonie...

We introduce Poisson double algebroids, and the equivalent concept of Lie bialgebroid, which arise as second-order infinitesimal counterparts groupoids. develop their underlying theory, showing how these objects are related by differentiation integration. use results to revisit 2-bialgebras means structures.

first principles calculations were carried out for investigation the novel 7-hydroxycoumarinyl gallates derivatives in gas and liquid phases using density functional theory (dft) method. computational chemistry simulations were carried out to compare calculated quantum chemical parameters for gallates derivatives. all calculations were performed using dmol3 code which is based on dft. the doubl...

Within the multibody systems literature, few attempts have been made to use automatic differentiation for solving forward multibody dynamics and evaluating its computational efficiency. The most relevant implementations are found in the sensitivity analysis field, but they rarely address automatic differentiation issues in depth. This paper presents a thorough analysis of automatic differentiat...