AADIOS
Algebraic and Algorithmic
Aspects of Differential and Integral
Operators Session
ACA'10
University of Vlora, Vlora, Albania, 24-27 June, 2010
Organizers
Markus Rosenkranz
(University of Kent,
SMSAS, Canterbury, UK)
Georg Regensburger
(Austrian Academy of Sciences,
RICAM, Linz, Austria)
Scope
The algebraic/symbolic treatment of differential equations is a
flourishing field, branching out in a variety of subfields committed to
different approaches. In this session, we want to give special emphasis
to the operator perspective of both the underlying differential
operators and various associated integral operators (e.g. as Green's
operators for initial/boundary value problems).
In particular, we invite contributions in line with the following topics:
- Symbolic Computation for Operator Algebras
- Factorization of Differential/Integral Operators
- Linear Boundary Problems and Green's Operators
- Initial Value Problems for Differential Equations
- Symbolic Integration and Differential Galois Theory
- Symbolic Operator Calculi
- Algorithmic D-Module Theory
- Rota-Baxter Algebra
- Differential Algebra
- Discrete Analogs of the above
- Software Aspects of the above
If you are interested in joining the session, please contact us.
Please see also our two previous ACA sessions AADIOS09
and AADIOS08.
An MCS Special Issue on these sessions is currently being compiled
(submission was closed on 8 January 2010.)
Talks
Moulay Barkatou:
On the Problem of Removing Apparent Singularities of Linear Differential Equations with Polynomial Coefficients
Thomas Cluzeau:
Preconditionning Techniques for Systems of Partial Differential Equations Using Algebraic Tools
Slides. For download here.
Anja Korporal:
Integro-differential Operators via Normal Forms in MAPLE
Slides. For download here.
Johannes Middeke:
FGLM for Hermite and Popov Normal Forms of Ore Polynomial Matrices
Slides. For download here.
L.X. Chau Ngo:
Invariant Algebraic Curves of Rational Vector Fields and their Explicit Rational Solutions
Slides. For download here.
Daniel Robertz:
Linear Differential Elimination for Analytic Functions
Slides. For download here.
Markus Rosenkranz:
Partial Integro-Differential Operators
Slides. For download here.
Kate Shemyakova:
Multiple Factorizations of Linear Partial Differential Operators of Arbitrary Order and of Arbitrary Number of Variables
Margarita Spiridonova:
Operational Methods in the Environment of a Computer Algebra System
Slides. For download here.
Loredana Tec:
A Formal Proof of Confluence for an Infinitely Generated Noncommutative Polynomial Ideal Parametrized over Integro-Differential Algebras
Slides. For download here.