Duration
01 October 2007 → 30 September 2014
Funding
Regional and community funding: Special Research Fund, Research Foundation  Flanders (FWO)
Promotor
Fellow
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 ^{ }
Keywords
numerical analysis
scientific computing
SturmLiouville problems
differential equations
highlyoscillatory 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 RungeKutta 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 rhighlyoscillatory problems (e.g. SturmLiouville problems).