## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 2American Society of Mechanical Engineers, 2001 - Arctic regions |

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Page 23

The second method is use Cauchy ' s theorem to convert

volume to

extend these boundary

The second method is use Cauchy ' s theorem to convert

**integrals**over the fluidvolume to

**integrals**around the boundary . Unfortunately , there is no easy way toextend these boundary

**integral**methods from 2 to 3 dimensions . The solution ...Page 299

It is known , however , that the

exhibits severe limitations from a computational point of view , as response

statistics must be evaluated by a multi - fold numerical integration in the

frequency domain ...

It is known , however , that the

**integral**representation of the Volterra seriesexhibits severe limitations from a computational point of view , as response

statistics must be evaluated by a multi - fold numerical integration in the

frequency domain ...

Page 307

+ Aa : - 3 Uz• V : + : 0 : 1 ( A . 13 ) +Specifically , recognize that 2 , = 2 , = vilu

should be set in equations ( A . 2 ) to retrieve the

49 ) , while Ź , = vil and Ź , = ĝi " ) to retrieve those in eq . ( 50 ) and eq . ( 51 ) .

+ Aa : - 3 Uz• V : + : 0 : 1 ( A . 13 ) +Specifically , recognize that 2 , = 2 , = vilu

should be set in equations ( A . 2 ) to retrieve the

**integrals**in eq . ( 48 ) and eq . (49 ) , while Ź , = vil and Ź , = ĝi " ) to retrieve those in eq . ( 50 ) and eq . ( 51 ) .

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