Two-Dimensional Fourier Continuation and Applications
Two-Dimensional Fourier Continuation and Applications
This paper presents a fast “two-dimensional Fourier continuation” (2D-FC) method for construction of biperiodic extensions of smooth nonperiodic functions defined over general two-dimensional smooth domains. The approach, which runs at a cost of (\mathcalO(Nłog N)\) operations for an $N$-point discretization grid, can be directly generalized to domains of any given …