Using the Dafermos entropy rate criterion in numerical schemes

On the Properties of Entropy Rate in the Entropy Rate Admissibility Criterion*

Entropy of Hybrid Censoring Schemes

A hybrid censoring scheme is a mixture of type I and type II censoring schemes. When $n$ items are placed on a life test, the experiment terminates under type I or type II hybrid censoring scheme if either a pre-fixed censoring time T or the rth (1<=r<=n&nbsp;is fixed) failure is first or later observed, respectively. In this paper, we investigate the decomposition of entropy in both hybrid cen...

Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes

Consider a scalar, nonlinear conservative difference scheme satisfying the entropy condition. It is shown that difference schemes containing more numerical viscosity will necessarily converge to the unique, physically relevant weak solution of the approximated conservative equation. In particular, entropy satisfying convergence follows for E schemes—those containing more numerical viscosity tha...

Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations

Two-fluid ideal plasma equations are a generalized form of the ideal MHD equations in which electrons and ions are considered as separate species. The design of efficient numerical schemes for the these equations is complicated on account of their non-linear nature and the presence of stiff source terms, especially for high charge to mass ratios and for low Larmor radii. In this article, we des...

Monotonization of flux, entropy and numerical schemes for conservation laws

Using the concept of monotonization, families of two step and k-step finite volume schemes for scalar hyperbolic conservation laws are constructed and analyzed. These families contain the Force scheme and give an alternative to the Musta scheme. These schemes can be extended to systems of conservation law. Key-words: Finite volumes, finite differences, Riemann solvers, conservation laws, monoto...