Consider heterogeneous elastic materials, modelled by a random stationary microstructure. The homogenized properties are deterministic. To compute them, one needs to solve auxiliary problems (the so-called corrector problems), which are set on the entire space. In practice, these corrector problems need to be approximated, and a usual approach is to consider a large but finite domain, on which ...

Associated to a finite measure on the real line with moments are recurrence coefficients in three-term formula for orthogonal polynomials respect this measure. These frequently inputs modern computational tools that facilitate evaluation and manipulation of measure, such tasks foundational numerical approximation quadrature. Although classical measures known explicitly, those nonclassical must ...

The Narrow Field Infrared Adaptive Optics System (NFIRAOS) is the first light Adaptive Optics (AO) system for the Thirty Meter Telescope (TMT). A critical component of NFIRAOS is the Real-Time Controller (RTC) subsystem which provides real-time wavefront correction by processing wavefront information to compute Deformable Mirror (DM) and Tip/Tilt Stage (TTS) commands. The National Research Coun...

Efficient trafficking of the cystic fibrosis transmembrane conductance regulator (CFTR) to and from the cell surface is essential for maintaining channel density at the plasma membrane (PM) and ensuring proper physiological activity. The most common mutation, F508del, exhibits reduced surface expression and impaired function despite treatment with currently available pharmacological small molec...

Abstract Predictor–corrector schemes are designed to be a compromise retain the stability properties of implicit and computational efficiency explicit ones. In this paper complete analytical study for linear mean-square two-parameter family Euler predictor–corrector scalar stochastic differential equations is given. The analyzed given in terms two parameters that control degree implicitness met...

The stability and convergence of fundamental numerical methods for solving ordinary differential equations are presented. These include one-step methods such as the classical Euler method, Runge–Kutta methods and the less well known but fast and accurate Taylor series method. We also consider the generalization to multistep methods such as Adams methods and their implementation as predictor–cor...