Asymptotic Methods of ODEs: Exploring Singularities of the Second Kind
CJ Winfield - arXiv preprint arXiv:1110.2263, 2011 - arxiv.org
CJ Winfield
arXiv preprint arXiv:1110.2263, 2011•arxiv.orgWe 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.
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.
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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