Implementing Integro-differential Operators via Normal Forms

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

Activity: Talk or presentationContributed talkunknown

Description

Integro-differential operators provide an algebraic structure for representing linear boundary problems for ordinary differential equations as well as their solution operators. We discuss a possible implementation of integro-differential operators in computer algebra systems. The operators are represented in normal forms, which are given as a sum of a differential, an integral, and a boundary operator. We show an implementation in Maple with applications to boundary problems. It allows to compute solution operators (Green's operators) and to multiply and factor boundary problems.
Period18 Jul 2010
Event titleSAGE Days 24
Event typeConference
LocationAustriaShow 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