Abstract
We present a Maple package for computing in algebras of integro-differential operators. This provides the appropriate algebraic setting for treating boundary problems for linear ordinary differential equations symbolically. They allow to formulate a boundary problem-a differential equation and boundary conditions-but they are also expressive enough for describing its solution via an integral operator, which is called Green's operator. Our package provides procedures for algebraic operations on integro-differential operators as well as for solving LODEs with general boundary conditions, given a fundamental system.
Journal = ACM Commun. Comput. Algebra
| Original language | English |
|---|---|
| Pages (from-to) | 120-122 |
| Number of pages | 3 |
| Journal | ACM Communications in Computer Algebra |
| Volume | 44 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2010 |
Fields of science
- 101001 Algebra
- 101002 Analysis
- 101 Mathematics
- 102 Computer Sciences
- 102011 Formal languages
- 101013 Mathematical logic
- 101020 Technical mathematics
- 101025 Number theory
- 101012 Combinatorics
- 101005 Computer algebra
- 101003 Applied geometry
- 102025 Distributed systems
JKU Focus areas
- Computation in Informatics and Mathematics
- Engineering and Natural Sciences (in general)