Description
| Abstract: | A differential equation is stable if the roots of the characteristic polynomial are in the interior of the left half-plane. Likewise a difference equation is stable if the roots of the characteristic polynomial are in the interior of the unit circle. This paper concerns algorithms which test polynomials for these properties. Also of concern is the relationship between the two problems. In particular special numerical integration formulae are developed which transform a differential equation into a difference equation. These formulae are such that the differential equation and the corresponding difference equation are both stable or else they are both unstable. |
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| Item Description: | "May 20, 1968."
"Carnegie-Mellon University. This paper was prepared while the author was a visiting professor at Texas A&M University"--Leaf [i]. |
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| Physical Description: | 31 leaves ; 28 cm |
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| Bibliography: | Includes bibliographical references (leaf 31). |
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