THE DECOMPOSITION PRINCIPLE IN ENGINEERING PROBLEMS: TOWARDS A MULTI-LEVEL CONCEPT OF PROBLEM-SOLVING. I.
CASE INST OF TECH CLEVELAND OHIO OPERATIONS RESEARCH GROUP
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The principal result of this report is a demonstration that systems of ordinary differential equations of engineering that are too large for the available computers can be solved by a principle of decomposition. It is shown that the systems of resulting subproblems are members of a larger class of problems. The properties of this class are investigated and conditions stated under which the solutions of the subproblems converge to those of the original problem. A measure of the interaction between the subproblems is suggested for a subsequent investigation. Author
- Operations Research