This article presents a modified version of the SVIR compartmental model for predicting evolution COVID-19 pandemic, which incorporates vaccination and saturated incidence rate, as well piece-wise time-dependent parameters that enable self-regulation based on epidemic trend. We have established positivity ODE explored its local stability. Artificial neural networks are used to estimate paramete...

We present a novel implicit scheme for the numerical solution of time-dependent conservation laws. The core idea presented method is to exploit and approximate mixed spatial-temporal derivative that occurs naturally when deriving some second order accurate schemes in time. Such an approach introduced context Lax-Wendroff (or Cauchy-Kowalevski) procedure time not completely replaced by space der...

Time varying parameter (TVP) models have enjoyed an increasing popularity in empirical macroeconomics. However, TVP models are parameter-rich and risk over-…tting unless the dimension of the model is small. Motivated by this worry, this paper proposes several Time Varying dimension (TVD) models where the dimension of the model can change over time, allowing for the model to automatically choose...

Background: Inappropriate inflammation is a key mechanism in the development of atherosclerosis. Antibodies against components of the atherosclerotic lesion, in particular, oxidised low density lipoprotein, have been described. Objective: To determine whether a systemic autoimmune response, characterised by the presence of high titres of antinuclear antibodies, is associated with the presence o...

Abstract This article proposes a methodology to identify technological transitions (TTs) by systematically using the total variation distance (TVD) metric. We use database of renewable energy generation (REG) patents exemplify usefulness TVD uncover moments where “big change” in REG technology happened. To do this, we compare observed frequency distribution codes filed between 1973 and 2015 US,...

Total-variation denoising (TVD) is a robust algorithm for reconstructing noisy images. Because it imposes an L1 penalty on differences between adjacent pixels, it tends to result in images with piecewise constant regions. The goal of image segmentation is to assign pixels to clusters such that pixels within each cluster are similar. Our goal is to see if TVD can be used to perform segmentation,...

To solve the incompressible Navier-Stokes equations in a generalized coordinate system, a high order solver is presented. An exact projection method/fractional-step scheme is used in this study. Convective terms of the Navier-Stokes (N-S) equations are solved using fifthorder WENO spatial operators, and for the diffusion terms, a sixthorder compact central difference scheme is employed. The thi...

We present a unified treatment of explicit in time, two-level, second-order resolution (SOR), total-variation diminishing (TVD), approximations to scalar conservation laws. The schemes are assumed only to have conservation form and incremental form. We introduce a modified flux and a viscosity coefficient and obtain results in terms of the latter. The existence of a cell entropy inequality is d...