A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains

Algorithm 1

FC(Gram) 1D th-order differentiation.

()    Procedure  FCDIFF()            ▹ returns th derivative of , where is the mesh step size

()     ()                       ▹ perform FC(Gram) continuation

()     ()

()     for    do                           ▹   is the length of

()      

()     end for

()     ()

()     ()                   ▹ store the portion corresponding to the original domain

()     return  

() end procedure