A MAPLE Package for Integro-Differential Operators and Boundary Problems

  • Anja Korporal (Speaker)
  • Georg Regensburger (Speaker)
  • Markus Rosenkranz (Speaker)

Activity: Talk or presentationPoster presentationunknown

Description

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.
Period14 Jul 2010
Event titleISSAC
Event typeConference
LocationGermanyShow on map

Fields of science

  • 101002 Analysis
  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 102 Computer Sciences
  • 101 Mathematics
  • 102011 Formal languages
  • 101005 Computer algebra
  • 101025 Number theory
  • 101003 Applied geometry
  • 102025 Distributed systems

JKU Focus areas

  • Computation in Informatics and Mathematics
  • Engineering and Natural Sciences (in general)