Well-Behaved Itô Equations with Simulations that Always Misbehave
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Clements, David J.
Anderson, Brian D.O.
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Abstract
Itô equations, including one arising in the theory of optimal filtering of a random telegraph wave, are examined. Although the solutions of the equations are always bounded, simulations of the equation on a digital computer lead to unbounded solutions.
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IEEE Transactions on Automatic Control
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