Construction of Lanczos type filters for the Fourier series approximation
From MaRDI portal
Publication:999075
DOI10.1016/j.apnum.2008.02.005zbMath1180.65184OpenAlexW2073476078MaRDI QIDQ999075
Publication date: 30 January 2009
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2008.02.005
Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (2)
Filtering in time-dependent problems ⋮ A weighted averaging method for treating discontinuous spectral data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Family of spectral filters for discontinuous problems
- On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
- The resolution of the Gibbs phenomenon for ``spliced functions in one and two dimensions
- Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
- Towards the resolution of the Gibbs phenomena.
- Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
- Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
- Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon
- A lag-average generalization of Euler's method for accelerating series
- Applications of analysis on nilpotent groups to partial differential equations
- Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
- On the Gibbs Phenomenon and Its Resolution
- A New Sigmoidal Transformation for Weakly Singular Integrals in the Boundary Element Method
- An Extended Sigmoidal Transformation Technique for Evaluating Weakly Singular Integrals without Splitting the Integration Interval
- A composite transformation for numerical integration of singular integrals in the BEM
- Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
- Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations
- Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals
- Adaptive filters for piecewise smooth spectral data*
This page was built for publication: Construction of Lanczos type filters for the Fourier series approximation