Accession Number : ADA192292

Title :   Analysis of the Spectral Vanishing Viscosity Method for Periodic Conservation Laws.

Descriptive Note : Final contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Maday, Yvon ; Tadmor, Eitan

PDF Url : ADA192292

Report Date : Jan 1988

Pagination or Media Count : 37

Abstract : We analyze the convergence of the spectral vanishing method for both the spectral and pseudospectral discretizations of the inviscid Burgers' equation. We prove that this kind of vanishing viscosity is responsible for a spectral decay of those Fourier coefficients located toward the end of the computed spectrum; consequently, the discretization error is shown to be spectrally small independent of whether the underlying solution is smooth or not. This in turn implies that the numerical solution remains uniformly bounded and convergence follows by compensated compactness arguments.

Descriptors :   *CONVERGENCE, *NONLINEAR DIFFERENTIAL EQUATIONS, COEFFICIENTS, CONSERVATION, DECAY, EQUATIONS, FOURIER SERIES, NUMERICAL ANALYSIS, SOLUTIONS(GENERAL), SPECTRA, VISCOSITY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE