TVD Schemes, Positive Schemes, and the Universal Limiter

High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter

A new approach to the derivation of local extremum diminishing finite element schemes is presented. The monotonicity of the Galerkin discretization is enforced by adding discrete diffusion so as to eliminate all negative off-diagonal matrix entries. The resulting low-order operator of upwind type acts as a preconditioner within an outer defect correction loop. A generalization of TVD concepts i...

A TVD principle and conservative TVD schemes for adaptive Cartesian grids

Modern high-resolution conservative numerical schemes (see [1–3]) are widely used for simulating flows of liquids, gases, or plasmas. They provide a robust and accurate method for capturing discontinuities, such as shock waves. A total-variation-diminishing (TVD) principle is an important element of such schemes. A TVD scheme is constructed in such a way that the total variation, TV 1⁄4 P ikUi ...

Implicit Total Variation Diminishing (TVD) Schemes for Steady-State Calculations

We examine the application of a new implicit unconditionallystable high-resolution TVD scheme to steady-state calculations. It is a member of a one-parameter family of explicit and implicit second-order accurate schemes developed by Harten for the computation of weak solutions of one-dimensional hyperbolic conservation laws. This scheme is guaranteed not to generate spurious oscillations for a ...

High-order TVD shock-capturing schemes for unstructured grid solvers

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...