ON THE MAPPING OF PARTIAL DIFFERENTIAL EQUATION COMPUTATIONS ONTO DISTRIBUTED MEMORY MIMD PARALLEL MACHINES

This thesis is dedicated to the memory of my father and to my mother; without her sacrifices my education will never have been succesful.!II ACKNOWLEDGMENTS The learning process requires constant and persistent effort. This thesis is the result of such an effortj it is the result of a generously given patience, moral support and friendship of many people. I acknowledge collectively all of them, whether they are mentioned below or not. My teacher and advisor Elias Houstis provided guidance and patience during the first difficult years of my graduate studies. For this, for his constant guidance and support and for the opportunity he gave me to continue my studies towards a Ph.D at Purdue University, I am grateful. "J am thankful to John Rice who as a co-advisor guided me with his insights and intuition. Also, I am thankful to both John Rice and Elias Houstis who as principal investigators of the Parallel EUpack project created the best possible environment for research