Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. II: Multi-interval polynomial schemes and multidomain Chebyshev interpolation
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Publication:623267
DOI10.1016/j.apnum.2010.11.010zbMath1366.65009OpenAlexW2086601213MaRDI QIDQ623267
Publication date: 14 February 2011
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.11.010
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Cites Work
- A hybrid Fourier-Chebyshev method for partial differential equations
- Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval
- Spectral methods for compressible reactive flows
- Best uniform polynomial approximation of some rational functions
- Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid
- The best uniform polynomial approximation to class of the form \(\frac{1}{(a^2\pm x^2)}\)
- Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
- Fehlerfortpflanzung bei Interpolation
- Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
- On the Runge Example
- Adaptive Polynomial Interpolation on Evenly Spaced Meshes
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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