A Review of David Gottlieb’s Work on the Resolution of the Gibbs Phenomenon

DOI10.4208/cicp.301109.170510szbMath1364.42003OpenAlexW2137758260MaRDI QIDQ5345833

Sigal Gottlieb, Saeja Oh Kim, Jae-Hun Jung

Publication date: 7 June 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.301109.170510s

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (15)

Resolving the Gibbs phenomenon via a discontinuous basis in a mode solver for open optical systems ⋮ Gegenbauer reconstruction method with edge detection for multi-dimensional uncertainty propagation ⋮ A basic class of symmetric orthogonal polynomials of a discrete variable ⋮ Adapting cubic Hermite splines to the presence of singularities through correction terms ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics ⋮ Fourier-Chebyshev spectral method for cavitation computation in nonlinear elasticity ⋮ Bivariate Symmetric Discrete Orthogonal Polynomials ⋮ Spectral methods in the presence of discontinuities ⋮ Asymptotic expansions pertaining to the logarithmic series and related trigonometric sums ⋮ Estimation of discontinuous functions of two variables with unknown discontinuity lines (rectangular elements) ⋮ Analysis of the results of a computing experiment to restore the discontinuous functions of two variables using projections. I ⋮ Estimating the structure of a discontinuous layer by tomographic methods ⋮ Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution ⋮ Analysis of the results of a computing experiment to restore the discontinuous functions of two variables using projections. III

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