1 citations · 1 across the 4 of their papers we have counts for
6 papers
Gröbner bases of Burchnall-Chaundy ideals for ordinary differential operators
Antonio Jiménez-Pastor, Sonia L. Rueda
The correspondence between commutative rings of ordinary differential operators (ODOs) and algebraic curves was established by Burchnall and Chaundy, Krichever and Mumford, among m…
Computing differential subresultants with Maple
M. Cabellos, S. L. Rueda
We review the definition and main properties of differential subresultants in order to achieve their implementation in Maple, using the DEtools package. The focus is on computing G…
Effective computation of centralizers of ODOs
Antonio Jiménez-Pastor, Sonia L. Rueda
This work is devoted to computing the centralizer of an ordinary differential operator (ODO) in the ring of differential operators. Non-trivial centralizers are known to be…
On the classification of centralizers of ODOs: An effective differential algebra approach
Sonia L Rueda
The correspondence between commutative rings of ordinary differential operators and algebraic curves has been extensively and deeply studied since the seminal works of Burchnall-Ch…
Computing almost commuting bases of ODOs and Gelfand-Dickey hierarchies
Antonio Jiménez-Pastor, Sonia L. Rueda, Maria-Angeles Zurro +2
Almost commuting operators were introduced in 1985 by George Wilson to present generalizations of the Korteweg-de Vries hierarchy, nowadays known as Gelfand-Dickey (GD) hierarchies…
Symbolic-numeric algorithm for parameter estimation in discrete-time models with
Yosef Berman, Joshua Forrest, Matthew Grote +2
Dynamic models describe phenomena across scientific disciplines, yet to make these models useful in application the unknown parameter values of the models must be determined. Discr…