Symplectic model reduction methods for the Vlasov equation

Tomasz M. Tyranowski; Michael Kraus

doi:10.1002/ctpp.202200046

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arXiv · 1910.06026

Symplectic model reduction methods for the Vlasov equation

Tomasz M. Tyranowski·Michael Kraus

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Abstract

Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially when simulations for many different values of input parameters are desired. In this work we compare several model reduction techniques and demonstrate their applicability to numerical simulations of the Vlasov equation. The necessity of symplectic model reduction algorithms is illustrated with a simple numerical experiment.

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Tomasz M. Tyranowski, Michael Kraus. 2022-08-31. Symplectic model reduction methods for the Vlasov equation. https://doi.org/10.1002/ctpp.202200046

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