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In addition, the following fully-discrete finite-difference methods are studied: a one-step implicit scheme with a three-point spatial stencil, a one-step explicit scheme with a five-point spatial stencil, and a two-step explicit scheme with a five-point spatial stencil. For each method, the number of grid points per wavelength required for accurate simulation of wave propagation over large distances is presented. The results provide a clear understanding of the relative merits of the methods compared, especially the trade-offs associated with the use of optimized methods. A numerical example is given which shows that the benefits of an optimized scheme can be small if the waveform has broad spectral content.<\/jats:p>","DOI":"10.1137\/s1064827599350320","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"476-502","source":"Crossref","is-referenced-by-count":132,"title":["Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation"],"prefix":"10.1137","volume":"22","author":[{"given":"David W.","family":"Zingg","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1999.6313"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1190\/1.1440470"},{"key":"R3","volume-title":"Vychislitelnaya gidromekhanika i teploobmen. 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