For the past three years, Control Data has cosponsored an applications symposium at one of its CYBER 205 customer sites. Approximately 125 participants from North America and Europe attended each of the three symposia. The Institute for Computational Studies at Colorado State University hosted the first symposium at Fort Collins, Colorado, August 12-13, 1982. The second annual symposium took place in Lanham, Maryland, and was hosted by the NASA Goddard Space Flight Center. This volume contains the proceedings of the Supercomputer Applications symposium held October 31-November 1, 1984, at Purdue University, West Lafayette, Indiana. The purpose of this volume is to provide a forum for users of Control Data's CYBER 205 supercomputer to exchange common experiences and to discuss results of research projects performed on the computer. The unifying theme across the many disciplines is the development of methods and techniques to exploit the computational power of the CYBER 205. Some what surprisingly, these techniques are quite similar and apply to a wide range of problems in physics, chemistry, and engineering.