Abstract
A class of numerical methods to solve wave problems in unbounded domains is based on truncating the infinite domain via an artificial boundary B and applying an appropriate boundary condition on B. The latter is called a Non-Reflecting Boundary Condition (NRBC). In this paper we (a) briefly recount the history of NRBC development and related issues, (b) explain the notion of high-order local NRBCs, (c) show how to derive such NRBCs for the dispersive (Klein-Gordon) wave equation, (d) give a numerical example, and (e) mention how Joe Keller is related to all this.
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Givoli, D. (2004). Non-Reflecting Boundaries: High-Order Treatment. In: Givoli, D., Grote, M.J., Papanicolaou, G.C. (eds) A Celebration of Mathematical Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0427-4_4
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DOI: https://doi.org/10.1007/978-94-017-0427-4_4
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