๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Implicitization of Partial Differential Rational Parametric Equations

โœ Scribed by Guangwei Li

Book ID
107346953
Publisher
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Year
2006
Tongue
English
Weight
204 KB
Volume
19
Category
Article
ISSN
1009-6124

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Implicitization of differential rational
Implicitization of differential rational parametric equations
โœ Xiao-Shan Gao ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equations P. (1) To find a characteristic set for the implicit prime ideal of P. (2) To find a canonical representation for the image of P. (3) To decide whether the pa

Implicitization of Rational Parametric S
Implicitization of Rational Parametric Surfaces
โœ GEORGE FIX; CHIH-PING HSU; TIE LUO ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 462 KB

A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points

Rational Solutions of Riccati-like Parti
Rational Solutions of Riccati-like Partial Differential Equations
โœ Ziming Li; Fritz Schwarz ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

When factoring linear partial differential systems with a finite-dimensional solution space or analysing symmetries of nonlinear ODEs, we need to look for rational solutions of certain nonlinear PDEs. The nonlinear PDEs are called Riccati-like because they arise in a similar way as Riccati ODEs. In