Introduction:
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The aim of the proposed special session is to bring together experts in the development, analysis and applications of methods for the numerical integration of differential equations arising in different fields of science and technology. The framework of these schemes is the field of Geometric Numerical Integration, its main goal being to reproduce the qualitative features of the solution of the differential equation which is being discretised, in particular its geometric properties. The motivation for developing such structure-preserving algorithms arises independently in areas of research as diverse as celestial mechanics, molecular dynamics, control theory, particle accelerators physics, and numerical analysis.
In this special session we will focus on the analysis and applications of numerical methods within this class that, in addition, provide high accurate approximations. |
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