SS4 - Computational Differential and Difference Algebra and Their Applications
link to the session's webpage
Objectives:
Algebraic differential and difference equations and systems of such equations arise in many areas of mathematics and in a wide range of subject areas including physics, biology, chemistry, economics, and engineering. 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 algebra, 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:
- 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
Session organizers
| Roberto La Scala (University of Bari Aldo Moro, Italy) |
| Alexander Levin (The Catholic University of America, USA) |
| Daniel Robertz (RWTH Aachen University, Germany) |