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The approximation of free-surface Green functions. (English) Zbl 0803.76015
Martin, P. A. (ed.) et al., Wave asymptotics. The proceedings of the meeting to mark the retirement of Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester, held in Manchester, UK, in March 1990. Cambridge etc.: Cambridge University Press. 107-135 (1992).
Numerical algorithms are described to show that substantial reductions are possible in the time taken to compute free-surface Green functions by the use of multivariate polynomial approximations. This has applications in boundary value problems for a velocity potential exterior to an immersed body having a linearized free-surface condition and radiation condition at infinity. For the entire collection see [Zbl 0771.00014].

76B15Water waves, gravity waves; dispersion and scattering, nonlinear interaction
65M99Numerical methods for IVP of PDE
65N99Numerical methods for BVP of PDE