MACSI, Department of Mathematics and Statistics invites you to a seminar by Dr. Juan Montijano (Departamento de Matemàtica Aplicada, University of Zaragoza, Spain):
 
Title:  Projection techniques in Runge-Kutta methods
Abstract:  Geometric structures (first integrals, orthogonality, Lyapunov functions, symplecticity, etc) play an important role both in qualitative and quantitative studies of the flow of differential equations. Geometric integration is nowadays an active field of research that studies numerical integrators for which, in addition to the classical properties of accuracy and stability, the preservation of geometric properties of the flow is required. In this talk geometric numerical integrators based on Runge-Kutta methods combined with projection techniques are analysed. In particular, the search of a proper projection direction is analysed so that the phase error is minimized in some way, yet maintaining the order of the underlying Runge-Kutta scheme.

The seminar will take place on Friday 20th May, at 4pm, in A2-002.
 
If you have any questions regarding this seminar, please direct them to Sarah Mitchell (061 202259, sarah.mitchell@ul.ie).  A full list of Seminars for this semester can be found at:
 
http://www.staff.ul.ie/mitchells/MACSI_seminars.html
 
Supported by Science Foundation Ireland Mathematics Initiative funding, MACSI - the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland