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@BOOK{Sutmann:16155,
key = {16155},
editor = {Sutmann, Godehard and Gibbon, Paul and Lippert, Thomas},
title = {{F}ast {M}ethods for {L}ong-{R}ange {I}nteractions in
{C}omplex {S}ystems},
volume = {6},
address = {Jülich},
publisher = {Forschungszentrum Jülich Gmbh Zentralbibliothek, Verlag},
reportid = {PreJuSER-16155},
isbn = {978-3-89336-714-6},
series = {Schriften des Forschungszentrums Jülich. IAS Series},
year = {2011},
note = {Record converted from JUWEL: 18.07.2013},
abstract = {Computer simulations of complex particle systems have a
still increasing impact in a broad field of physics, e.g.
astrophysics, statistical physics, plasma physics, material
sciences, physical chemistry or biophysics, to name a few.
Along with the development of computer hardware, which today
shows a performance in the range of PFlop/s, it is essential
to develop efficient and scalable algorithms which solve the
physical problem. Since with more powerful computer systems
usually also the problem size is increased, it is important
to implement optimally scaling algorithms, which increase
the computational effort proportionally to the number of
particles. Especially in fields, where long-range
interactions between particles have to be considered the
numerical effort is usually very large. Since most of
interesting physical phenomena involve electrostatic,
gravitational or hydrodynamic effects, the proper inclusion
of long range interactions is essential for the correct
description of systems of interest. Since in principle, long
range interactions are O(N$^{2}$) for open systems or
include infinite lattice sums in periodic systems, fast
implementations rely on approximations. Although, in
principle, various methods might be considered as
$\textit{exact representations}$ of the problem,
approximations with controllable error thresholds are
developed. Since different boundary conditions or dielectric
properties require the application of appropriate methods,
there is not only one method, but various classes of methods
developed. E.g. the inclusion of different symmetries in the
system (1d- ,2d- or 3d-periodic systems), the presence of
interfaces or including inhomogeneous dielectric properties,
require the implementation of different electrostatic
methods. Furthermore, the interdisciplinary character of the
problem led to the fact that either very similar methods or
complementary methods were developed independently in
parallel in different disciplines or were
$\textit{discovered}$ in other research areas and adopted to
other fields. Therefore the present school does not only
focus on one method, but intrduces a spectrum of different
fast algorithms: [...]},
cin = {JSC},
ddc = {500},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {Scientific Computing (FUEK411) / 411 - Computational
Science and Mathematical Methods (POF2-411) / 41G -
Supercomputer Facility (POF2-41G21)},
pid = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411 /
G:(DE-HGF)POF2-41G21},
typ = {PUB:(DE-HGF)3},
url = {https://juser.fz-juelich.de/record/16155},
}