Determining the locations and discontinuities in the derivatives of functions

DOI10.1016/j.apnum.2007.01.018zbMath1141.65011OpenAlexW2024342887WikidataQ60151412 ScholiaQ60151412MaRDI QIDQ2483186

Anne Gelb, Jungho Yoon, Rick Archibald

Publication date: 28 April 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.01.018

zbMATH Keywords

numerical examplesiterative methodedge detectionpiecewise smooth functionspolynomial annihilationdiscontinuity detectionderivative discontinuities

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Related Items (13)

Construction of discontinuity detectors using convolutional neural networks ⋮ High order approximation to non-smooth multivariate functions ⋮ Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method ⋮ High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods ⋮ Total variation regularization for the reconstruction of a mountain topography ⋮ Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods ⋮ Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids ⋮ A new shock/discontinuity detector ⋮ Discontinuity detection in multivariate space for stochastic simulations ⋮ Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm ⋮ WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces

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