Asymptotic Methods of ODEs: Exploring Singularities of the Second Kind
arXiv:1110.2263
Abstract
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.
12 pages