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- W4226124580 abstract "Casimir preserving integrators for stochastic Lie-Poisson equations with Stratonovich noise are developed extending Runge-Kutta Munthe-Kaas methods. The underlying Lie-Poisson structure is preserved along stochastic trajectories. A related stochastic differential equation on the Lie algebra is derived. The solution of this differential equation updates the evolution of the Lie-Poisson dynamics by means of the exponential map. The constructed numerical method conserves Casimir-invariants exactly, which is important for long time integration. This is illustrated numerically for the case of the stochastic heavy top." @default.
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- W4226124580 date "2021-11-25" @default.
- W4226124580 modified "2023-09-22" @default.
- W4226124580 title "Casimir preserving stochastic Lie-Poisson integrators" @default.
- W4226124580 hasPublicationYear "2021" @default.
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