In this paper we introduce a new class of ENO reconstruction procedures, the Power ENO methods, to design highorder accurate shock capturing methods for hyperbolic conservation laws, based on an extended class of limiters, improving the behavior near discontinuities with respect to the classical ENO methods. Power ENO methods are defined as a correction of classical ENO methods [J. Comput. Phys...

We construct a local Lax-Friedrichs type positivity-preserving flux for compressible Navier-Stokes equations, which can be easily extended to high dimensions for generic forms of equations of state, shear stress tensor and heat flux. With this positivity-preserving flux, any finite volume type schemes including discontinuous Galerkin (DG) schemes with strong stability preserving Runge-Kutta tim...

We design a class of Weighted Power-ENO (Essentially Non-Oscillatory) schemes to approximate the viscosity solutions of Hamilton-Jacobi (HJ) equations. The essential idea of the Power-ENO scheme is to use a class of extended limiters to replace the minmod type limiters in the classical third-order ENO schemes so as to improve resolution near kinks where the solution has discontinuous gradients....

Rate limiting is an important primitive for managing server network resources. Unfortunately, software-based rate limiting suffers from limited accuracy and high CPU overhead, and modern NICs only support a handful of rate limiters. We present SENIC, a NIC design that can natively support 10s of thousands of rate limiters—100x to 1000x the number available in NICs today. The key idea is that th...

Despite a decline infertility, an increase in contraceptive prevalence, and a wide expansion of family planning programs in Iran and Turkey, a large proportion of "birth limiters" rely on withdrawal to avoid pregnancy. Adopting a comparative approach, this study draws on data from the 2000 Iran DHS and 2003 Turkey DHS to examine the determinants of the practice of withdrawal among birth limiter...

The Runge–Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservation laws is a high order finite element method, which utilizes the useful features from high resolution finite volume schemes, such as the exact or approximate Riemann solvers, TVD Runge–Kutta time discretizations, and limiters. In this paper, we investigate using the RKDG finite element method for compressible...

We propose second order accurate discontinuous Galerkin (DG) schemes which satisfy a strict maximum principle for general nonlinear convection-diffusion equations on unstructured triangular meshes. Motivated by genuinely high order maximum-principle-satisfying DG schemes for hyperbolic conservation laws [14, 26], we prove that under suitable time step restriction for forward Euler time stepping...

A classic strategy to obtain high-quality discretisations of hyperbolic partial differential equations (PDEs) is to employ a non-linear mixture of two types of approximations. The building blocks for this are a monotone first-order scheme that deals with discontinuous solution features and a higher-order method for approximating the smooth solution parts. The blending is performed by the so-cal...