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The calculation of Green's functions in three dimensional hydrodynamic gravity wave problems
Authors:M. K. Pidcock
Abstract:We have studied the problem of calculating Green's functions in three dimensional hydrodynamic gravity wave problems. A number of new expressions for these functions are presented for both finite and infinite depths. Various techniques for accelerating the convergence of some infinite series in these expressions are investigated and compared with the normal methods of evaluation. A significant improvement in the efficiency of the calculation is found using the results described in this paper.
Keywords:Green's Functions  Boundary Element Method  Waves  Special Functions  Series  Convergence  Acceleration
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