Volume-preserving Algorithms for Source-free Dynamical Systems ?

  title={Volume-preserving Algorithms for Source-free Dynamical Systems ?},
  • Published 1995
In this paper, we rst expound why the volume-preserving algorithms are proper for numerically solving source-free systems and then prove all the conventional methods are not volume-preserving. Secondly, we give a general method of constructing volume-preserving diierence schemes for source-free systems on the basis of decomposing a source-free vector eld as a nite sum of essentially 2-dimensional Hamilton-ian elds and of composing the corresponding essentially symplectic schemes into a volume… CONTINUE READING
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