Modified cluster-variational method of triangulate estimation under the conditions of uncertainty.

Triangulate estimation modified method, based on “increasing” conception of target location ordinary marks and their following “clusterization”, for expected uncertainty modification is developed. Various tests for detection optimality of questionable measuring channels and consequent estimate generation algorithms of target location are given. Comparison results of these algorithms in accuracy and operational efficiency are presented.

Nuclear equation of state with the variational method and its application to supernova simulations

We report on an equation of state (EOS) of hot asymmetric nuclear matter constructed using the variational method and its application to hydrodynamic simulations of core-collapse supernovae. This nuclear EOS is based on the AV18 two-body potential and UIX three-body potential, and the energy per nucleon at zero temperature is constructed with the cluster variational method. At finite temperatures, the free energies per nucleon are calculated with an extension of the variational method devised by Schmidt and Pandharipande. This EOS is in good agreement with that by the Fermi hypernetted chain variational calculations at zero and finite temperatures, and the structure of neutron stars calculated with this EOS is consistent with recent observational data. Using this nuclear EOS, we perform a spherically symmetric general-relativistic adiabatic simulation of the SN explosion. The explosion energy calculated with our EOS in the present simulation is larger than that obtained with the Shen EOS, implying that the variational EOS is softer than the Shen EOS.