GALMOL: an automatic solver for partial differential equations. [In CDC FORTRAN for CYBER 175]

The GALerkin Method Of Lines code package, GALMOL, is designed to solve parabolic partial differential equations having a single space dimension. It uses either the finite element method or the Gaussian collocation method for space discretizations. A robust ordinary differential equation solver is used as the time integrator; it is very efficient and achieves high accuracy. After introductory material, some theoretical background about the semidiscrete Galerkin method is given. Next, the features and implementation of GALMOL are described, including the structures and different options of the program. Although the input language is largely self-explanatory, a description and a user's guide are provided. The performance and ease of use of the package are illustrated for the heat equation, Burger's equation, and the wave equation. Some typical input and prototype CYBER JCL sequences are given. (RWR)