Embedded Files
Computational Differential and Difference Algebra and its Applications
Organizers:
Organizers:
Alexander Levin (Washington D.C., USA)
Alexey Ovchinnikov (New York, USA)
Daniel Robertz (Aachen, Germany)
Schedule:
Schedule:
Wednesday, August 17, 2022
09:30 Thierry Combot (slides)
10:00 Matthias Seiß (slides)
10:30 Alexander Levin (slides)
11:30 Victor Edneral (slides)
12:00 Carlos E. Arreche (slides)
Thursday, August 18, 2022
09:30 Li Guo (slides)
10:00 Sonia L. Rueda (slides)
Friday, August 19, 2022
09:30 Friedemann Krannich (slides)
10:00 Vladimir Bavula
10:30 Michael Wibmer (slides)
Talks:
Talks:
Carlos E. Arreche, Yi Zhang, Twisted Mahler discrete residues
Vladimir Bavula, Holonomic modules and 1-generation in the Jacobian Conjecture
Thierry Combot, Computing rational first integrals of polynomial vector fields on surfaces
Victor Edneral, Integrable cases of the autonomic polynomial system
Xing Gao, Li Guo, Tianjie Zhang, Reynolds algebras and their free objects by Gröbner-Shirshov bases
Diogo Gomes, Friedemann Krannich, Ricardo de Lima Ribeiro, Algorithmic detection of conserved quantities of finite-difference schemes using difference algebra
Alexander Levin, Generalized characteristic sets and a new type of multivariate difference dimension polynomials
Antonio Jiménez-Pastor, Alexey Ovchinnikov, Sonia L. Rueda, Elimination of unknowns in dynamical systems
Matthias Seiß, Daniel Robertz, On normal forms in differential Galois theory for the classical groups
Ruyong Feng, Michael Wibmer, Computing the exceptional parameter set for a family of linear differential equations
Objectives:
Objectives:
Algebraic differential and difference equations and systems of such equations arise in many areas of mathematics, natural sciences and engineering. One can say that difference equations relate to differential equations as discrete mathematics relates to continuous mathematics. Differential and difference computer algebra concerns the study of systems of differential and difference equations in a constructive way that extends methods and algorithms of commutative algebra and algebraic geometry. The main goal of the session is to discuss recent developments in computational methods of differential and difference algebras, as well as to explore new ideas and approaches oriented toward various applications of these methods.
Topics of the session include, but are not limited to:
Topics of the session include, but are not limited to:
Systems of Differential, Difference and Difference-Differential Algebraic Equations
Differential and Difference Gröbner (Standard) and Involutive Bases
Differential and Difference Characteristic Sets
Triangular Decompositions of Differential and Difference Systems
Differential and Difference Elimination
Algorithmic Generation of Finite Difference Approximations to PDEs
Consistency and Stability Analysis of Finite Difference Approximations
Dimension Characteristics of Differential and Difference Algebraic Structures
Difference Equations over Finite Fields and their Applications
Software Packages for Differential and Difference Algebra
Applications of Differential and Difference Algebra in the Sciences
Submissions:
Submissions:
If you are interested in giving a presentation at this session, please email an abstract to one of the organizers (including both the LaTeX source and a compiled PDF version) by 31 May 2022. We suggest that abstracts will be 1-2 pages, with some references. Detailed information about the conference and a LaTeX template for abstracts will be posted at the ACA 2022 web page .
Page updated
Google Sites
Report abuse