Under time-dependent loading, an elastic material is undergoing the simplest form of damage, that which consists in passing from its original state to a weaker elastic state. Elaborating on prior work [FM93], we establish existence of a relaxed variational evolution where, at each time, the two states of the material combine to form a fine mixture, optimal from the standpoint of the applied loa...

We propose a large time step and asymptotic preserving scheme for the gas dynamics equations with external forces and friction terms. By asymptotic preserving, we mean that the numerical scheme is able to reproduce at the discrete level the parabolic-type asymptotic behaviour satisfied by the continuous equations. By large time-step, we mean that the scheme is stable under a CFL stability condi...

This paper presents an attempt to characterize synchronous stream functions within the framework of co-iteration and to use this characterization in building a compiler for (higher order and recursive) synchronous dataow programs. First length-preserving functions are considered and we show that streams equipped with such functions form a Cartesian-closed category. Then this point of view is ex...

The notion of strongly Lie zero-product preserving maps on normed algebras as a generalization of Lie zero-product preserving maps are dened. We give a necessary and sufficient condition from which a linear map between normed algebras to be strongly Lie zero-product preserving. Also some hereditary properties of strongly Lie zero-product preserving maps are presented. Finally the second dual of...

A unified, asymptotically-preserving method for simulating multiphase flows using an exactly mass, momentum, and energy conserving Cell-Integrated Semi-Lagrangian advection algorithm is presented. The new algorithm uses a semi-implicit pressure update scheme that asymptotically preserves the standard incompressible pressure projection method in the limit of infinite sound speed. The asymptotica...

This article focuses on the preservation of tangible material culture Shona traditional music legacy. It reports how author collected and deposited materials used during both sacred secular contexts. For this research, an applied action research methodology was employed together with ethnography. Ethnographic fieldwork conducted in Hwedza, Chikomba, Bhuhera, Gweru, approach informed materials. ...

The focus of this paper is on which digital objects to preserve when preserving digital library materials derived from original paper materials. It will investigate preservation strategies for digital objects from digitised paper material that must both be preserved and simultaneously retain a short route to dissemination. The investigation is based on a study of digitisation done a decade ago ...