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Theory and Modern Applications

Figure 9 | Advances in Continuous and Discrete Models

Figure 9

From: Casimir preserving stochastic Lie–Poisson integrators

Figure 9

Relative error of the Casimirs for one stochastic realization of the sine-Euler equations simulated using the trapezoidal rule applied directly to the LP equations. The solid line refers to the conservation of \(C_{2}\), while the dash-dotted line refers to the conservation of \(C_{3}\)

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