Article: Explicit Volume-Preserving Splitting Methods
for Linear and Quadratic Divergence-Free Vector Fields
Authors: R.I. McLachlan · H.Z. Munthe-Kaas · G.R.W. Quispel · A. Zanna
Journal: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Volume 8, Number 3 (2008), 335-355
Abstract: We present new explicit volume-preserving methods based on splitting for polynomial divergence-free vector fields. The methods can be divided in two classes: methods that distinguish between the diagonal part and the off-diagonal part and methods that do not. For the methods in the first class it is possible to combine dif- ferent treatments of the diagonal and off-diagonal parts, giving rise to a number of possible combinations.
Hindsight notes: None yet.
24 Nov 2006