On One-Sided Filters for Spectral Fourier Approximations of Discontinuous Functions
From MaRDI portal
Publication:4018600
DOI10.1137/0729055zbMath0755.65140OpenAlexW2167009524MaRDI QIDQ4018600
Chi-Wang Shu, Wei Cai, David Gottlieb
Publication date: 16 January 1993
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/d01b127e2e911526a20f9546e577940d960cc63b
discontinuous functionsSpectral methodsGibbs oscillationsone-sided filtersspectral Fourier approximations
Trigonometric approximation (42A10) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Exclusive robustness of Gegenbauer method to truncated convolution errors, Higher-order wavelet reconstruction/differentiation filters and Gibbs phenomena, A note on the accuracy of spectral method applied to nonlinear conservation laws, An averaging method for the Fourier approximation to discontinuous functions, Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations, On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function, Periodic smoothing splines for FFT-based solvers, Nonlinear inversion of a band-limited Fourier transform, Optimal filter and mollifier for piecewise smooth spectral data, Super spectral viscosity method for nonlinear conservation laws
