Summary.
Capillary-gravity waves are described by a nonlinear functional in a Banach space of analytic functions. This equation is solved by a Newton method. It is shown that the method converges quadratically for small amplitude waves. The proof shows at the same time the existence of these waves.
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Received July 14, 2000 / Published online August 17, 2001
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Wegmann, R. Numerical calculation of capillary-gravity waves. Numer. Math. 92, 383–400 (2002). https://doi.org/10.1007/s002110100328
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DOI: https://doi.org/10.1007/s002110100328