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Zbl 0803.76015
Newman, J.N.
The approximation of free-surface Green functions. (English)
[A] 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). ISBN 0-521-41414-8/hbk

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.
[R.Saxton (New Orleans)]

MSC 2000:: *76B15 Wave motions (fluid mechanics)
65M99 Numerical methods for IVP of PDE
65N99 Numerical methods for BVP of PDE

Keywords: Chebyshev coefficients; frequency domain; time domain; asymptotic expansion; economised polynomials; multivariate polynomial approximations; boundary value problems; radiation condition

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