AADIOS 2016

AADIOS

Algebraic and Algorithmic Aspects of Differential and Integral Operator Session

ACA 2016

Kassel, Germany, 1-4 August 2016


Organizers

Moulay Barkatou (University of Limoges, XLIM DMI, Limoges, France)
Thomas Cluzeau (University of Limoges, CNRS, XLIM DMI, Limoges, France)
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.

Previous ACA sessions were held at Hagenberg 2008, Montréal 2009, Vlora 2010, Houston 2011, Sofia 2012, Malaga 2013, New York 2014, Kalamata 2015.

We have published an MCS Special Issue based on the 2008-10 sessions and a Springer LNCS Postproceedings Volume based on the 2011-12 sessions. We have co-edited a Special Issue with Alexey Ovchinnikov on Computational Aspects of Differential/Difference Algebra and Integral Operators for the journal Advances in Applied Mathematics based on ACA 2014.


Talks


Vladimir Bavula
Classical left regular left quotient ring of a ring and its
semisimplicity criteria
Abstract

Werner Seiler
Algebraic Theory of Linear Partial Differential Algebraic Equations
Abstract

Jamal Hossein Poor
Tensor reduction systems for operator algebras and normal forms
Abstract

Clemens Raab
Generalized integro-differential algebra from an operator point of view
Abstract

Alexander Levin
Difference-Differential Dimension Polynomials and their Invariants
Abstract

Franz Winkler
Deciding Rational Solvability of First-Order Algebraic Ordinary Differential Equations
Abstract

 

Viktor Levandovskyy
Computer Algebraic Analysis: Achievements, Perspectives and Directions I
Abstract

Christian Schilli
The purity filtration of modules over Auslander regular rings
Abstract

Albert Heinle
Computation of all Factorizations in Certain Non-Commutative Rings
Abstract

Johannes Hoffmann
Ore localization, associated torsion and algorithms
Abstract

Johannes Nuessle
Local Closure of Ore Algebras
Abstract

Niclas Kruff
Ore Localization with applications in D-module theory
Abstract

Viktor Levandovskyy
Computer Algebraic Analysis: Achievements, Perspectives and Directions II
Abstract

 

Maximilian Jaroschek
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients
Abstract

Gerard Duchamp, Hoang Ngoc Minh, and Ngo Quoc Hoan
Polylogarithms at the multi-indices of non-positive integers
Abstract

Daniel Robertz
Thomas Decomposition and Nonlinear Control Systems
Abstract

Emma Previato and Eleanor Farrington
Symbolic Computation for Rankin-Cohen Differential Algebras. Klein curve as a case study.
Abstract