VISUALIZATION OF GRAPHICAL METHODS OF SERIES ANALYSIS

Exact power series expansions provide a powerful method for studying t he critical behaviour of many systems. Efficient analysis methods are essential to fully exploit the series approach. A particularly challen ging problem in the analysis of these expansions is the elucidation of the critical behaviour in cases where critical temperature (or thresh old) as well as dominant and correction exponent is unknown. We descri be a scheme (which we call Visualization of Graphical methods for Seri es analysis, or VGS) developed explicitly for this situation and discu ss its high precision implementation in a workstation environment. Our approach involves visualization of multiple approximants in a three-d imensional space. Several examples from Ising models, percolation and exactly solved systems are given.