Asymptotic Methods of ODEs: Exploring Singularities of the Second Kind

Details Asymptotic Methods of ODEs: Exploring Singularities of the Second Kind Asymptotic Methods of ODEs: Exploring Singularities of the Second Kind

2011-10-11

arxiv.org/abs/1110.2263v1

Computer Science

Symbolic Computation

12 pages

Scientific paper

We develop symbolic methods of asymptotic approximations for solutions of linear ordinary differential equations and use to them stabilize numerical calculations. Our method follows classical analysis for first-order systems and higher-order scalar equations where growth behavior is expressed in terms of elementary functions. We then recast our equations in mollified form - thereby obtaining stability.

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