For positive semi-definite tensors like diffusion tensors in the plane it is possible to calculate several different means or p-averages. These are related to p-norms for functions, but produce mappings rather than numbers as means. We compare these means for various values of the real parameter p. One important future application is the filtering and interpolation of tensor fields in Diffusion...

Jing-Mei Qiu and Andrew Christlieb 3 Abstract In this paper, we propose a novel Vlasov solver based on a semi-Lagrangian method which combines Strang splitting in time with high order WENO (weighted essentially nonoscillatory) reconstruction in space. A key insight in this work is that the spatial interpolation matrices, used in the reconstruction process of a semi-Lagrangian approach to linear...

A Chebyshev or Fourier series may be evaluated on the standard collocation grid by the Fast Fourier Transform (FFT). Unfortunately, the FFT does not apply when one needs to sum a spectral series at N points which are spaced irregularly. The cost becomes O(N2) operations instead of the FFT's O(N log N). This sort of "off-grid" interpolation is needed by codes which dynamically readjust the grid ...

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

This article explores why some dismissed workers adapt successfully to the changing structure of an economy, while others remain trapped in low-quality jobs and experience deskilling. The associated case study relies on in-depth, semi-structured interviews with 50 former employees four bankrupt radio-electronics factories Lithuania. It is found that ‘inherited’ skills are deep technical able en...

abstract objective the last two decades have seen major advancements in our understanding of some of the most common neurodevelopmental disorders in the field of child neurology. however, in the majority of individual patients, it is still not possible to arrive at a molecular diagnosis, due in part to lack of knowledge of molecular causes of these tremendously complex conditions. common geneti...

Computerised interpolation algorithms as well as the empirical model for analysing the flocculent settling data were developed. A mechanistic semi-empirical model developed from fundamental physical principles of a falling particle in a viscous fluid was tested against actual flocculation column data. The accuracy of the mechanistic model was evaluated using the sum of the squared errors betwee...

Radial basis function methods for interpolation to values of a function of several variables are particularly useful when the data points are in general positions, but hardly any sparsity occurs in the matrix of the linear system of interpolation equations. Therefore an iterative procedure for solving the system is studied. The k-th iteration calculates the element in a k-dimensional linear sub...

the present study was carried out to evaluate three interpolation methods including weighted moving average (wma) with the power of 2 and 3, kriging and cokriging methods. data of 23 wells in mazandaran province were collected in fall and spring 2006. seven parameters including electrical conductivity (ec), ph, total dissolved solids (tds), sodium adsorption ratio (sar), total hardness (th), ch...

We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when the second-order accuracy in time and space is desired, although high-order accurate boundary co...