The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field models considered for that purpose. Even so, to study the mathematical properties of the model some simplifications were necessary [4, 5, 6], which disregard crucial phenomena. In this work we deal with the general NNLIF ...

An algorithm for an extended reactive dynamic user equilibriummodel of pedestrian counterflow as a continuum is developed. It is based on a cell-centered high-resolution finite volume scheme with a fast sweeping method for an Eikonal-type equation on an orthogonal grid. A high-order total variation diminishing Runge–Kutta method is adopted for the time integration of semi-discrete equations. Th...

For Runge-Kutta methods (RKMs), linear multistep methods (LMMs) and classes of general linear methods (GLMs) much attention has been paid, in the literature, to special nonlinear stability requirements indicated by the terms total-variation-diminishing (TVD), strong stability preserving (SSP) and monotonicity. Stepsize conditions, guaranteeing these properties, were derived by Shu & Osher [J. C...

Abstract. We describe the development of a block-structured, equal-CPU-load (central processing unit), multi-grid-nesting interface for Boussinesq wave model FUNWAVE-TVD (Fully Nonlinear Wave Model with Total Variation Diminishing Solver). The new framework does not interfere core solver, and thus program, FUNWAVE-TVD, is still standalone used single grid. nesting manages time sequencing two-wa...

We study the evolution of the global stellar mass density in a Λ cold dark matter (ΛCDM) universe using two different types of hydrodynamical simulations (Eulerian TVD and SPH) and the analytical model of Hernquist & Springel (2003). We find that the theoretical calculations all predict both a higher stellar mass density at z ∼ 3 than indicated by current observations, and that the peak of the ...

Discharge produced plasma (DPP) devices have been proposed as a light source for EUV lithography. A key challenge for DPP is achieving sufficient brightness to support the throughput requirements of exposure tools for high-volume manufacturing lithography. To simulate the environment of the EUV source and optimize the output of the source, an integrated model is being developed to describe the ...

Geoscientists from the Coso Operating Company, EGI-Utah, GeoMechanics International, and the U.S. Geological Survey are cooperating in a multi-year study to develop an Enhanced Geothermal System (EGS) in the Coso Geothermal Field. Key to the creation of an EGS is an understanding of the relationship among natural fracture distribution, fluid flow, and the ambient tectonic stresses that exist wi...

A numerical investigation of high-resolution schemes for solving the compressible Navier-Stokes equations in the context of Implicit Large Eddy Simulation (ILES) is presented. Computations have been performed using a hybrid total variation-diminishing (TVD) scheme. The hybrid TVD scheme combines third-order Godunov-type fluxes with first-order (dissipative) schemes using the flux limiters appro...

A parameter-free limiting technique is developed for high-order unstructured-grid methods to capture discontinuities when solving hyperbolic conservation laws. The technique is based on a “troubled-cell” approach, in which cells requiring limiting are first marked, and then a limiter is applied to these marked cells. A parameter-free accuracypreserving TVD marker based on the cell-averaged solu...

This paper presents a high-resolution numerical method for solving mass transport problems involving advection and anisotropic diffusion in shallow water based on unstructured mesh. An alternating operator-splitting technique is adopted to advance the numerical solution with advection and diffusion terms solved separately in two steps. By introducing a new r-factor into the Total Variation Dimi...