Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities

Journal of Scientific Computing ◽

10.1007/s10915-015-0011-x ◽

2015 ◽

Vol 65 (3) ◽

pp. 1145-1165 ◽

Author(s):

Zheng Chen ◽

Chi-Wang Shu

Keyword(s):

Spectral Methods ◽

Piecewise Smooth ◽

Smooth Functions ◽

Exponential Accuracy ◽

Piecewise Smooth Functions ◽

Fourier Spectral Methods

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Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions

Sibirskii matematicheskii zhurnal ◽

10.33048/smzh.2019.60.316 ◽

2017 ◽

Vol 60 (3) ◽

pp. 695-713

Author(s):

I. I. Sharapudinov ◽

T. I. Sharapudinov ◽

M. G. Magomed-Kasumov

Keyword(s):

Piecewise Smooth ◽

Approximation Properties ◽

Smooth Functions ◽

Piecewise Smooth Functions

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Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2014.10.002 ◽

2015 ◽

Vol 39 (3) ◽

pp. 427-449 ◽

Author(s):

Rodrigo B. Platte ◽

Alexander J. Gutierrez ◽

Anne Gelb

Keyword(s):

Spectral Data ◽

Convergence Rates ◽

Exponential Convergence ◽

Piecewise Smooth ◽

Smooth Functions ◽

Piecewise Smooth Functions ◽

Fourier Reconstruction

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SIMPLEX STOCHASTIC COLLOCATION FOR PIECEWISE SMOOTH FUNCTIONS WITH KINKS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2019030208 ◽

2020 ◽

Vol 10 (1) ◽

pp. 1-24 ◽

Author(s):

Barbara Fuchs ◽

Jochen Garcke

Keyword(s):

Piecewise Smooth ◽

Stochastic Collocation ◽

Smooth Functions ◽

Piecewise Smooth Functions

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On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator

Applicable Analysis ◽

10.1080/00036810903043255 ◽

2009 ◽

Vol 88 (6) ◽

pp. 937-945

Author(s):

Ravshan Ashurov ◽

Sanjar Karaev

Keyword(s):

Schrödinger Operator ◽

Piecewise Smooth ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

Smooth Functions ◽

Piecewise Smooth Functions

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New Smoothing Approximations to Piecewise Smooth Functions and Applications

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1561466 ◽

2019 ◽

Vol 40 (5) ◽

pp. 513-534

Author(s):

Nurullah Yilmaz ◽

Ahmet Sahiner

Keyword(s):

Piecewise Smooth ◽

Smooth Functions ◽

Piecewise Smooth Functions

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On spectral expansions of piecewise smooth functions depending on the geodesic distance

Differential Equations ◽

10.1134/s0012266110060078 ◽

2010 ◽

Vol 46 (6) ◽

pp. 827-839

Author(s):

Sh. A. Alimov

Keyword(s):

Geodesic Distance ◽

Piecewise Smooth ◽

Smooth Functions ◽

Spectral Expansions ◽

Piecewise Smooth Functions

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Linear Shepard Interpolation for High Dimensional Piecewise Smooth Functions

10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference ◽

10.2514/6.2004-4486 ◽

2004 ◽

Author(s):

Vladimir Gantovnik ◽

Zafer Gurdal ◽

Layne Watson

Keyword(s):

Piecewise Smooth ◽

High Dimensional ◽

Smooth Functions ◽

Piecewise Smooth Functions

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Effective approximation of piecewise smooth functions by their expansion into fast convergent series in terms of functions formed by eigenfunctions of Sturm–Liouville problems

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/1569398042395961 ◽

2004 ◽

Vol 19 (5) ◽

Author(s):

V. V. Smelov

Keyword(s):

Convergent Series ◽

Piecewise Smooth ◽

Smooth Functions ◽

Piecewise Smooth Functions ◽

Sturm Liouville ◽

Effective Approximation

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Characterization and analysis of edges in piecewise smooth functions

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2015.10.007 ◽

2016 ◽

Vol 41 (1) ◽

pp. 139-163 ◽

Author(s):

Kanghui Guo ◽

Demetrio Labate

Keyword(s):

Piecewise Smooth ◽

Smooth Functions ◽

Piecewise Smooth Functions

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Flexible, boundary adapted, nonparametric methods for the estimation of univariate piecewise-smooth functions

Statistics Surveys ◽

10.1214/20-ss128 ◽

2020 ◽

Vol 14 (0) ◽

pp. 32-70

Author(s):

Umberto Amato ◽

Anestis Antoniadis ◽

Italia De Feis

Keyword(s):

Nonparametric Methods ◽

Piecewise Smooth ◽

Smooth Functions ◽

Piecewise Smooth Functions

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