With the Dirac delta function discrete ordinate method,a one-speed time-dependent transport equation with anisotropy scatterings is studied in a slab.The scattering function is assumed a combination of linearly anisotropic and strongly forward-backward scattering.The angular flux is split into a delta function and a low order function.The source term is obtained by integrating the delta function and quadrature the low order function.Numerical results for criticality eigenvalues are obtained and tabulated with different scattering parameters including extreme regions.

An accurate angular quadrature is developed with cylindrical symmetry in transport equations. The most appropriate quadrature for polar angles is the Double-Gauss and for azimuthal angles is the Chebyshev-Gauss in cylindrical geometry. Numerical comparisons of quadratures on two standard problems are shown. They suggest that the new quadrature proves competitive for transport problems both in reducing ray effects and in improving accuracy.

We have obtained an equation of state at ok by use of the relation between the differential expression and an empirical interpalation expression of the Gruneisen coefficient.We have calculated Hugoniot curves for pb,w,Mo,Fe,Al, the results are in satisfactory agreement with experiments (up to about 5 TPa).The cold pressures abtained are in good agreement with those from From-Mayer potential and improved Morse potential in the range 1≤ρ/ρ_o ≤ 1.5.The two integrals used in calculating cold pressure and cold energy are tabularted