ABSTRACT
The term Galerkin method has already been intoduced in section 6.3 without any explanation. In this chapter the underlying mathematical idea behind Galerkin method of determining approximate solution to a general operator equation L f l= along with approximation of the inner product [ , ],f l is explained where L is a linear operator. This will be applied to solve approximately singular integral equations with Cauchy type kernels. Also, application of the method to a number of water wave scattering problems involving thin vertical barriers arising in the linearised theory of water waves, as given in Mandal and Chakrabarti (1999), will be reviewed.
