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Order Stars and Linear Stability Theory

Mark Sofroniou
Organization: Wolfram Research, Inc.
Department: Kernel Technology
Journal / Anthology

Journal of Symbolic Computation
Year: 1996
Volume: 21
Page range: 101-131

Order stars are a powerful modern tool for the development and analysis of numerical methods. They convey important information such as order and stability in a unified framework. A package for rendering order stars becomes part of the standard distribution in the next major release of Mathematica. An introduction to the theory is provided here, set in the context of numerical methods for Ordinary Differential Equations. The implementation is discussed and examples are given to illustrate why a computer algebra system is an ideal environment for the exploration of order stars.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations