AADIOS

Algebraic and Algorithmic Differential and Integral Operator Session


ACA 2015

Kalamata, Greece, 20-23 July 2015


Organizers

Moulay Barkatou (University of Limoges, XLIM DMI, Limoges, France)
Thomas Cluzeau (University of Limoges, CNRS, XLIM UMR 7252, DMI, Limoges, France)
Georg Regensburger (Austrian Academy of Sciences, RICAM, Linz, Austria)
Markus Rosenkranz (University of Kent, SMSAS, Canterbury, United Kingdom)

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:

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. 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 are currently co-editing a Special Issue with Alexey Ovchinnikov on Computational Aspects of Differential/Difference Algebra and Integral Operators for the journal Advances in Applied Mathematics.

For submitting a talk, please use the ACA'15 template provided here.

Talks

Franz Winkler
Birational Transformations of Algebraic Ordinary Differential Equations
Abstract

I. Dimovski and M. Spiridonova
Use of a Two-Dimensional Operational Calculus for Nonlocal Vibration Boundary Value Problems
Abstract

P. Olver
Invariant histograms and signatures for object recognition, symmetry detection, and jigsaw puzzle assembly
Abstract

L. Poinsot
Jacobi algebras, in-between Poisson, differential, and Lie algebras
Abstract

M. Barakat
Generalized morphisms – turning homological algorithms into closed formulas
Abstract

A. Kitchin
Quantized Weyl algebras and Automorphisms
Abstract

C. Raab
On a generalization of integro-differential operators
Abstract

C. Shakiban
Application of Signature Curves to Characterize Melanomas and Moles
Abstract

M. Kauers
Walks in the quarter plane with multiple steps
Abstract

W. Seiler
Computing Resolutions for Linear Differential Systems
Abstract

M. Jaroschek
Computing Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings
Abstract

T. Goncalves
Conservation Laws and the Chazy Equation
Abstract

A. Korporal
Generalized Green's Operators and the Method of Characteristics
Abstract

E. Previato
Symbolic Computation for Rankin-Cohen Differential Algebras
Abstract

S. Maddah
Formal Solutions of Singularly-Perturbed Linear Differential Systems
Abstract

V. Bavula
Localizable and Weakly Left Localizable Rings
Abstract

T. Combot
Computing Liouvillian solutions of linear difference equations
Abstract

A. Prokopenya
Symbolic Computation in Studying the Restricted Three-Body Problem with Variable Masses
Abstract

N. Malashonok
One symbolical method for solving differential equations with delayed argument
Abstract

C. Schilli, E. Zerz, V. Levandovskyy
Controlled and conditioned invariance for polynomial and rational feedback systems
Abstract