Abstract: A thermal analysis system (10) for analyzing a thermal model of an object is provided which comprises a Gauss-Seidel processor (12) that includes an acceleration factor generator (14). An initial condition generator (16) and a residual energy feedback accelerator (18) are coupled to the Gauss-Seidel processor (12). A data storage (20) is coupled to the Gauss-Seidel processor (12), and a display (22) is coupled to the data storage (20).