Browsing Department of Mathematics by Subject "geometric integration"
Now showing items 1-2 of 2
-
Explicit volume-preserving splitting methods for divergence-free ODEs by tensor-product basis decompositions
(Peer reviewed; Journal article, 2014-02-23)We discuss the construction of volume-preserving splitting methods based on a tensor product of single-variable basis functions. The vector field is decomposed as the sum of elementary divergence-free vector fields (EDFVFs), ... -
Symmetric spaces and Lie triple systems in numerical analysis of differential equations
(Peer reviewed; Journal article, 2014-03)A remarkable number of different numerical algorithms can be understood and analyzed using the concepts of symmetric spaces and Lie triple systems, which are well known in differential geometry from the study of spaces of ...