Preconditioned Time-Differencing For the Parallel Solution of the Heat Equation
Garry Rodrigue, Donald Wolitzer · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1989
In this paper we derive a new explicit difference method for solving the multidimensional heat equation. This method will be first order accurate in time and second order accurate in space and will have stability regions that are greater in size than the classical explicit Euler schemes. The motivation behind the development of new explicit methods is the fact that they can be efficiently carried out on vector and parallel computers. Thus, even though explicit methods are only conditionally stable, they may be more effective in use than the unconditionally stable implicit methods provided the stability intervals of the explicit methods are not too small. 5 refs., 1 fig., 2 tabs.