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- W2044891421 abstract "Petrov-Galerkin methods based on piecewise linear interpolants for the Korteweg-de Vries and related equations are studied. Both accuracy and stability are analysed for the linearised case. It is shown that in the nonlinear case the order of accuracy of the standard Galerkin procedure is reduced and an alternative technique is therefore proposed which retains the fourth-order accuracy in space. This is found to perform well when compared with finite difference or other finite element schemes." @default.
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- W2044891421 date "1981-01-01" @default.
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- W2044891421 title "Petrov-Galerkin methods for nonlinear dispersive waves" @default.
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- W2044891421 doi "https://doi.org/10.1016/0021-9991(81)90138-8" @default.
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