We introduce a new dataset built around two TV series from different genres, The Big Bang Theory, a situation comedy and Game of Thrones, a fantasy drama. The dataset has multiple tracks extracted from diverse sources, including dialogue (manual and automatic transcripts, multilingual subtitles), crowd-sourced textual descriptions (brief episode summaries, longer episode outlines) and various m...

This paper presents the modeling of highly nonlinearcircuits using a total-variation-decreasing (TVD) differencescheme developed for the simulation of problems involving shockphenomena. In contrast to the commonly used leapfrog scheme,a second-order accurate TVD method based on the Lax–Wen-droff scheme is applied to one-dimensional nonlinear transientelectromagnetic-wave...

We introduce an improved second-order discretization method for the convection-reaction equation by combining analytical and numerical solutions. The method is derived from Godunov’s scheme, see [15] and [21], and uses analytical solutions to solve the one-dimensional convection-reaction equation. We can also generalize the second-order methods for discontinuous solutions, because of the analyt...

This contribution is devoted to the mathematical modelling of a compressible viscous fluid flow through a 2-D model of the male rotor-housing gap in screw machines. Numerical solution of the nonlinear conservative system of the compressible Navier-Stokes equations is obtained by means of the cell-centred finite volume formulation of the explicit two-step TVD MacCormack scheme proposed by Causon...

In this paper, the fourth in a series, the spectral volume (SV) method is extended to multi-dimensional systems – the 2D Euler equations. The focus of this paper is to study the performance of the SV method on multidimensional nonlinear systems, and to verify that high order solution accuracy up to fourth-order can be achieved for the systems of conservation laws. Implementation details includi...

For the high order numerical approximation of hyperbolic systems of conservation laws, we propose to use as a building principle an entropy diminishing criterion instead of the familiar total variation diminishing criterion introduced by Harten for scalar equations. Based on this new criterion, we derive entropy diminishing projections that ensure, both, the second order of accuracy and all of ...

In the paper we discuss the main features of the software package for numerical simulations of the surface water dynamics. We consider an approximation of the shallow water equations together with the parallel technologies for NVIDIA CUDA graphics processors. The numerical hydrodynamic code is based on the combined LagrangianEuler method (CSPH-TVD). We focused on the features of the parallel im...

Introduction MT3DMS is a three-dimensional (3D) multispecies contaminant transport model with a modular structure to permit simulation of solute transport processes independently or jointly (Zheng and Wang 1999; Zheng 2009). MT3DMS interfaces directly with the U.S. Geological Survey’s finite-difference ground water flow model, MODFLOW, for the flow solution, and supports all the hydrologic and ...

We have investigated a relativistic jet injected into an oblique magnetic Ðeld in a slab geometry using a newly developed relativistic magnetohydrodynamic simulation code. The simulation code employs a simpliÐed total variation diminishing method. We compare the nonrelativistic and relativistic jets to Ðnd the relativistic e†ects when the jet propagates across the oblique magnetic Ðeld. Numeric...

Taking averages of observations is the most basic method to make inferences in the presence of uncertainty. In late 1980’s, this simple idea has been extended to the principle of successively average less where the change is faster, and applied to the problem of revealing a signal with jump discontinuities in additive noise. Successive averaging results in a family of signals with progressively...