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The Stability Threshold

  • Ben Leimkuhler
  • Charles Matthews
Chapter
  • 3.5k Downloads
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 39)

Abstract

Let us recall the method of studying the asymptotic numerical stability of a linear system \(\displaystyle{ \dot{{\boldsymbol z}} ={\boldsymbol A}{\boldsymbol z}, }\) where \({\boldsymbol z} \in \mathbb{R}^{m}\), \({\boldsymbol A} \in \mathbb{R}^{m\times m}\), when solved by a numerical method.

Keywords

Rigid Body Newton Iteration Adjoint Method Stability Threshold Angular Momentum Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Ben Leimkuhler
    • 1
  • Charles Matthews
    • 2
  1. 1.School of MathematicsUniversity of EdinburghEdinburghUK
  2. 2.Gordon Center for Integrative ScienceUniversity of ChicagoChicagoUSA

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