Poroelasticity theory models the dynamics of porous, fluid-saturated media. It was pioneered by Maurice Biot in the 1930s through 1960s, and has applications in several fields, including geophysics and modeling of in vivo bone. A wide variety of methods have been used to model poroelasticity, including finite difference, finite element, pseudospectral, and discontinuous Galerkin methods. In thi...

Independent Component Analysis (ICA) is the problem of learning a square matrix A, given samples of X = AS, where S is a random vector with independent coordinates. Most existing algorithms are provably efficient only when each Si has finite and moderately valued fourth moment. However, there are practical applications where this assumption need not be true, such as speech and finance. Algorith...

A bstract We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation all explicit poles appearing in double-virtual contribution, real-virtual correction and integrated counterterms is explicitly verified, finite contributions arising ...

The finite element method has been widely used to investigate the mechanical behavior of biological tissues. When analyzing these particular materials subjected dynamic requests, time integration algorithms should be considered incorporate inertial effects. These can classified as implicit or explicit. Although both have in different scenarios, a comparative study outcomes methods is important ...

In numerical time-integration with implicit-explicit (IMEX) methods, a within-step adaptable decomposition called residual balanced decomposition is introduced. This decomposition allows any residual occurring in the implicit equation of the implicit-step to be moved into the explicit part of the decomposition. By balancing the residual, the accuracy of the local truncation error of the time-st...

The purpose of this study was to investigate the relationship between students‘ explicit knowledge in grammar and their translation ability. The importance of grammatical knowledge and its effectiveness in translation quality motivated the researcher to run this study and consider grammatical knowledge in Per- sian as the source language of Iranian students. It is clear that grammar is an area ...

Single-scale quantities, like the QCD anomalous dimensions and Wilson coefficients, obey difference equations. Therefore their analytic form can be determined from a finite number of moments. We demonstrate this in an explicit calculation by establishing and solving large scale recursions by means of computer algebra for the anomalous dimensions and Wilson coefficients in unpolarized deeply ine...

This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be computed via explicit recursive expressions, and we derive sufficient conditions for uniform convergence over the finite and infinite time horizon. Furthermore, we present a simplified series and convergence analysis fo...