Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow

MATHEMATICS OF COMPUTATION, pp. 861-891, 2013.

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Abstract:

We prove convergence of the Hamiltonian Particle-Mesh (HPM) method, initially proposed by J. Frank, G. Gottwald, and S. Reich, on a periodic domain when applied to the irrotational shallow water equations as a prototypical model for barotropic compressible fluid flow. Under appropriate assumptions, most notably sufficiently fast decay in ...More

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