Efficient approximation of second and higher order Sturm-Liouville problems

01 October 2007 → 30 September 2014
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Applied mathematics in specific fields
    • Computer architecture and networks
    • Distributed computing
    • Information sciences
    • Information systems
    • Programming languages
    • Scientific computing
    • Theoretical computer science
    • Visual computing
    • Other information and computing sciences
    • Astronomy and space sciences
    • Classical physics
    • Materials physics
    • Mathematical physics
    • Quantum physics
numerical analysis scientific computing Sturm-Liouville problems differential equations highly-oscillatory problems
Project description

Ordinary differential equations arise in many physical applications. The conventional means to calculate a numerical solution of such equations is by using Runge-Kutta or linear multistep methods. This approach is satisfactory for many problems and probably the method of choice for general equations. However, for some classes of problems the classical codes are too unspecialized and methods tuned on the characteristic features of a problem receive better results. In this project we will construct some specialized methods fo rhighly-oscillatory problems (e.g. Sturm-Liouville problems).