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Geometric integration methods that unconditionally contract volume

โœ Scribed by V. Grimm; G.R.W. Quispel


Book ID
103813966
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
444 KB
Volume
58
Category
Article
ISSN
0168-9274

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Numerical integrators that contract volu
โœ Robert I. McLachlan; G.R.W. Quispel ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive systems. We prove a sufficient condition for Runge-Kutta methods to have the appropriate contraction property for these