Browsing Faculty of Mathematics and Natural Sciences by Subject "geometric integration"
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Explicit volume-preserving splitting methods for divergence-free ODEs by tensor-product basis decompositions (Oxford University PressInstitute of Mathematics and its Applications, 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), ...Journal article
(Springer, 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 ...Journal article