A Basis for Homogeneous Polynomial Solutions to Homogeneous Constant Coefficient PDE's: An Algorithmic Approach through Apolarity
Abstract
Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed degree, already known in 19th century invariant theory. A generalized version of this inner product was introduced in to derive in a straightforward way some of the recent results in CAGD. Here we extend this work by applying it to compute solution spaces of homogeneous constant coefficient PDE's.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP012043
Entities
People
- Gert Vegter
- Michel Pocchiola
Organizations
- École Normale Supérieure