Abstract
In earlier papers we have constructed difference methods that are fourth-order accurate both in space and time for wave propagation problems. The analysis and numerical experiments have been limited to one-dimensional problems. In this paper we extend the construction and the analysis to two space dimensions, and present numerical experiments for acoustic problems in discontinuous media.
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Gustafsson, B., Wahlund, P. Time Compact High Order Difference Methods for Wave Propagation, 2D. J Sci Comput 25, 195–211 (2005). https://doi.org/10.1007/s10915-004-4639-1
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DOI: https://doi.org/10.1007/s10915-004-4639-1