Solving Robbin's problem

In this report the numerical integration of ellipticpartial differential equations under Robbin's boundaryconditions is attempted by means of the Extrapolatedform of the Alternating Direction Implicit methods.A set of varying extrapolation parameters is determinedalong with Douglas' cycle of acceleration parameters anda comparison between the above two sets of iterationparameters is performed

On the use of crude eigenvalue bounds in the solution of robbin's problems

In this paper we consider what effect the use of crude eigenvalue estimates, for the evaluation of the iterative parameters, has on the convergence of the A.D.I. process which is employed in the numerical integration of the Third Boundary Value Problem

The social origins of cooking and dining in early villages of western Asia

This paper explores social customs of cooking and dining as farming emerged in the earliest villages of Palestine and Jordan (12,650–6850 cal BC). The approach is a spatial analysis of in situ hearths, pits, bins, benches, platforms, activity areas, caches, and ground stone artefacts. Mortars, pestles, and bowls first appear in significant numbers in base camps of semi-sedentary Natufian hunter-gatherers. Elaborate and decorated, these artefacts imply a newly formal social etiquette of food-sharing. They were used within houses, near hearths, and in outdoor areas. The earliest farmers of the Khiamian and Pre-Pottery Neolithic A used simple, mostly undecorated, ground stone tools. One-room houses were often fitted with a hearth and a small mortar in the centre, features that also occur in outdoor areas. In the Early and Middle Pre-Pottery Neolithic B, firepits, milling stations, and storage features were placed on porches and outdoor areas near house doors. These areas formed a transition zone between house and community, where food preparation provided opportunities for social contacts. The most private rooms in houses were supplied with benches, platforms, and decorated hearths, and probably sheltered household meals. In the Late PPNB, when some villages grew to unprecedented sizes, storage, and cooking facilities were placed in constricted, private spaces comparatively hidden from community view. Numerous milling tools and multiple milling stations in individual houses suggest intensification of production of prepared foods. It is argued that adult women bore the brunt of the increased labour and that these activities placed them under new restrictions of daily activity and visibility in relation to village communities.</jats:p