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20122021
most citedDiscrete Variational Methods and Symplectic Generalized Additive Runge--Kutta Methods

2 citations · 4 across the 6 of their papers we have counts for

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Showing 2012 · math.NAShow all

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math.NA2012★ 1 cited

The Euler equation of quasi-geostrophic fluids and volume preserving numerical methods

Antonella Zanna

We consider the Euler equation of quasi-geostrophic fluids which is widely used in weather forecast. Our goal is to study explicit volume-preserving numerical methods for very long…

math.NA2012

Explicit Volume-Preserving Splitting Methods for Polynomial Divergence-Free Vector Fields

Huiyan Xue, Antonella Zanna

We present new, explicit, volume-preserving vector fields for polynomial divergence-free vector fields of arbitrary degree (both positive and negative). The main idea is to decompo…