Numerical parameterization of affine varieties using

Authors:
D. A. Aruliah;Robert M. Corless
Affiliations:
The University of Western Ontario, London, Ontario, Canada;The University of Western Ontario, London, Ontario, Canada
Venue:
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Year:
2004

Citing 7
Cited 1

Symbolic parametrization of curves

Journal of Symbolic Computation
Implicitizing rational curves by the method of moving algebraic curves

Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Rational parametrization of surfaces

Journal of Symbolic Computation
Graphing elementary Riemann surfaces

ACM SIGSAM Bulletin
Numerical parameterization of curves and surfaces

Computer Aided Geometric Design
Towards factoring bivariate approximate polynomials

Proceedings of the 2001 international symposium on Symbolic and algebraic computation
Accuracy and Stability of Numerical Algorithms

Accuracy and Stability of Numerical Algorithms

Geometric applications of the Bezout matrix in the Lagrange basis

Proceedings of the 2007 international workshop on Symbolic-numeric computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

In the present work, we extend the standard 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.