Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
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Stability<br />
If there is just one root equal <strong>to</strong> 1 (i.e. 0) ⇒ stable but not asympt.<br />
(1) n = 1, e 0t = 1, n → ∞ & t →→ ∞<br />
If there are more than one root equal <strong>to</strong> 1( i.e. 0) ⇒ not stable<br />
c 1 (1) n +c 2 n(1) n → ∞, c 1 e 0t +c 2 te 0t → ∞, n → ∞ & t →→ ∞<br />
1. Februar 20<strong>13</strong> Bojana Rosic <strong>Introduction</strong> <strong>to</strong> <strong>Scientific</strong> <strong>Computing</strong> Seite 9