• Corpus ID: 204838215

Adaptive Padé-Chebyshev Type Approximation to Piecewise Smooth Functions

@article{Akansha2019AdaptivePT,
  title={Adaptive Pad{\'e}-Chebyshev Type Approximation to Piecewise Smooth Functions},
  author={Sharma Akansha and Sambandam Baskar},
  journal={ArXiv},
  year={2019},
  volume={abs/2110.07173}
}
The aim of this article is to study the role of piecewise implementation of Pade-Chebyshev type approximation in minimising Gibbs phenomena in approximating piecewise smooth functions. A piecewise Pade-Chebyshev type (PiPCT) algorithm is proposed and an $L^1$-error estimate for at most continuous functions is obtained using a decay property of the Chebyshev coefficients. An advantage of the PiPCT approximation is that we do not need to have an {\it a prior} knowledge of the positions and the… 
Piecewise Pad\'e-Chebyshev Reconstruction of Bivariate Piecewise Smooth Functions
  • A. Singh
  • Mathematics, Computer Science
  • 2021
TLDR
This article aims to implement the novel piecewise Maehly based Padé-Chebyshev approximation, developing a method referred to as PiPC to approximate univariate piecewise smooth functions and then extending the same to a two-dimensional space, leading to a bivariate piece wise Pader-Chebyv approximation (Pi2DPC) for approximating piecewise smoother functions in two-dimension.

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