Some numerical aspects of unstable boundary-value problems

by Robert E. Kalaba

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Discussion of some problems that arise in the numerical solution of unstable boundary-value problems. In various fields of application, including radiative transfer and automatic control, there is a need to integrate unstable linear systems of ordinary conditions. Special precautions must be taken, however, to prevent the deleterious effects of the instability from showing. Imbedding techniques, Laplace transforms, and concepts from control theory itself can be effective in overcoming these difficulties. Examples are given.

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