@inbook{87d3f424e31b4e39906832a5e7625f16,

title = "On the rate of convergence of the Hamiltonian particle-mesh method.",

abstract = "The Hamiltonian Particle-Mesh (HPM) method is a particle-in-cell method for compressible fluid flow with Hamiltonian structure. We present a numer- ical short-time study of the rate of convergence of HPM in terms of its three main governing parameters. We find that the rate of convergence is much better than the best available theoretical estimates. Our results indicate that HPM performs best when the number of particles is on the order of the number of grid cells, the HPM global smoothing kernel has fast decay in Fourier space, and the HPM local interpolation kernel is a cubic spline.",

keywords = "EWI-23121, Rate of convergence, METIS-296326, Hamiltonian particle-mesh method, IR-84333, Numerical tests",

author = "B.W.I. Peeters and Marcel Oliver and Onno Bokhove and Vladimir Molchanov",

note = "10.1007/978-3-642-32979-1_2 ",

year = "2013",

doi = "10.1007/978-3-642-32979-1_2",

language = "Undefined",

isbn = "978-3-642-32978-4",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer",

number = "89",

pages = "25--43",

editor = "M. Griebel and M.A. Schweitzer",

booktitle = "Meshfree Methods for Partial Differential Equations VI",

}