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A Fourier analysis is performed at the discrete level for the Poincar\u00e9 waves, and it determines the stability limit of the schemes and the error in wave amplitude and phase that can be expected. Numerical solutions of test problems to simulate Poincar\u00e9 waves illustrate the analytical results.<\/jats:p>","DOI":"10.1137\/090779413","type":"journal-article","created":{"date-parts":[[2011,9,13]],"date-time":"2011-09-13T18:16:00Z","timestamp":1315937760000},"page":"2217-2246","source":"Crossref","is-referenced-by-count":4,"title":["Time Discretization Schemes for Poincar\u00e9 Waves in Finite-Element Shallow-Water Models"],"prefix":"10.1137","volume":"33","author":[{"given":"Daniel Y. 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