Computational Differential and Difference Algebra

Special Session at the 24th Conference on Applications of Computer Algebra,

  Santiago de Compostela, Spain, June 18-22, 2018


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 / difference computer algebra studies algebraic differential / difference equations in a constructive way that extends the methods and algorithms of commutative algebra and algebraic geometry. The main goal of the session is to consider the computational problems in differential/difference algebra to explore new constructive ideas and approaches oriented toward various applications.


Topics of the session include, but are not limited to:

  • Differential and Difference Equations and Systems
  • 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
  • Difference-Differential Polynomials and Systems
  • Software Packages for Differential and Difference Algebra
  • Applications of Differential and Difference Algebra in Mathematics and Natural Sciences

If you are interested in giving a presentation at this session, please email an abstract to one of the organizers.
The duration of a talk is to be 30 minutes including time for discussion.
Submission of talks : see important dates.
The submissions are requested a specific format for the abstracts: 1-2 pages, with some references.
This can help the readers to understand what it is exactly about and also yield some homogeneity to the abstract book.

More information about the conference can be found at the ACA 2018 conference web page .




Last modified:   January 16, 2019   by Alla Bogolubskaya