Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields.
Alin BostanGuillaume ChèzeThomas CluzeauJacques-Arthur WeilPublished in: Math. Comput. (2016)
Keyphrases
- vector field
- efficient algorithms for computing
- low order
- algebraic geometry
- lagrange interpolation
- algebraic curves
- orthogonal polynomials
- piecewise polynomial
- potential functions
- optical flow
- velocity field
- implicit polynomial
- motion field
- high order
- higher order
- critical points
- flow field
- lie group
- differential operators
- fluid flow
- multiscale
- polynomial equations