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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Absorbing boundary conditions for the numerical simulation of waves

Authors: Bjorn Engquist and Andrew Majda
Journal: Math. Comp. 31 (1977), 629-651
MSC: Primary 65M05; Secondary 65N99
MathSciNet review: 0436612
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Abstract: In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary conditions at these artificial boundaries. These boundary conditions not only guarantee stable difference approximations but also minimize the (unphysical) artificial reflections which occur at the boundaries.

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Article copyright: © Copyright 1977 American Mathematical Society