*FOURIER analysis, *KOLMOGOROV complexity, *PAPER, *THEORY of knowledge, *UNIQUENESS (Mathematics)
Abstract
this paper, we consider the Fourier spectral approximation for numerically solving the Kolmogorov-Spiegel-Sivashinsky equation. The semi-discrete and fully discrete schemes are established. Moreover, the existence, uniqueness and the optimal error bound are also considered. [ABSTRACT FROM AUTHOR]