Sequence Of Successive Approximations Research Articles

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Exact Lattice Model of Liquids. One-Dimensional Gas of Hard Lines

The equation of state of a one-dimensional gas of hard lines is calculated exactly using a lattice-gas description. The role of many-body interference effects is studied and found to include an effective repulsion with a logarithmic singularity for compact arrangements of molecules. A sequence of successive approximations is introduced and the rate of convergence to the exact result investigated.