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A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations

Xavier AntoineInstitut Elie Cartan de Lorraine, Université de Lorraine , Vandoeuvre-lès-Nancy Cedex, FranceEmmanuel LorinCentre de Recherches Mathématiques, Université de Montréal , Montréal, CanadaQiao TangInstitut Elie Cartan de Lorraine, Université de Lorraine , Vandoeuvre-lès-Nancy Cedex, France
2017en
ABI

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The aim of this paper is to describe concisely the recent theoretical and numerical developments concerningabsorbing boundary conditions and perfectly matched layers for solving classical and relativistic quantum waves problems. The equations considered in this paper are the Schrödinger, Klein–Gordon and Dirac equations.

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