Carpio Rodríguez, Ana María and Tapiador Fernández, Bárbara
(2010)
*Nonreflecting boundary conditions for discrete waves.*
Journal of Computational Physics, 229
(5).
pp. 1879-1896.
ISSN 0021-9991

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021999109006329

## Abstract

We introduce a new class of nonreflecting boundary conditions for lattice models, which minimizes reflections at artificial boundaries. Exact integrodifferential boundary conditions for finite chains and half-spaces are obtained by means of Green's functions for initial value problems. Truncating the resulting integrals in time, we obtain absorbing boundary conditions. Numerical tests illustrate the ability of these conditions to suppress reflections.

Item Type: | Article |
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Uncontrolled Keywords: | Molecular-dynamics; Hyperbolic systems; Absorbing layer; Simulations; Propagation; Equations; Nonreflecting boundary conditions; Green's functions; Lattice models; Discrete wave equations; Transparent boundary conditions; Absorbing boundary conditions; Dirichlet-to-Neumann operators; Molecular dynamics |

Subjects: | Sciences > Physics > Mathematical physics Sciences > Mathematics > Differential equations |

ID Code: | 14881 |

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Deposited On: | 19 Apr 2012 08:44 |

Last Modified: | 06 Feb 2014 10:11 |

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