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Numerical Parameterization of affine varieties using ODEs

D. A. Aruliah, R. M. Corless

 

In the present work, we extend the idea of numerical parameterization (i.e., parameterization by the numerical solution of initial-value problems (IVPs) for ordinary differential equations (ODEs)) to affine varieties in $\C^n$ for $n > 2$. We use these results with an efficient implementation in Maple to explore the use of numerical parameterization for the visualization of Riemann surfaces.

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