On the reconstruction of discontinuous functions using multiquadric RBF-WENO local interpolation techniques

DOI10.1016/j.matcom.2020.01.018OpenAlexW3005061680MaRDI QIDQ1998041

Lucia Romani, Milvia Rossini, Rosa Donat, Francesc Aràndiga

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.01.018

zbMATH Keywords

approximation orderjump discontinuityadaptive parameterlocal multiquadric radial basis function (RBF) interpolationweighted essentially non-oscillatory (WENO) interpolation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

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Cites Work

• Unnamed Item
• Unnamed Item
• A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method
• Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters
• Point-value WENO multiresolution applications to stable image compression
• A note on the Gibbs phenomenon with multiquadric radial basis functions
• ENO schemes with subcell resolution
• Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, \(D^{m}\)-splines and the finite element method
• Some results on uniformly high-order accurate essentially nonoscillatory schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• Weighted ENO interpolation and applications.
• Edge detection methods based on RBF interpolation
• Kernel-based adaptive approximation of functions with discontinuities
• Detecting and approximating fault lines from randomly scattered data
• Efficient implementation of weighted ENO schemes
• The detection and recovery of discontinuity curves from scattered data
• New WENO smoothness indicators computationally efficient in the presence of corner discontinuities
• Jumping with variably scaled discontinuous kernels (VSDKs)
• On a Power WENO Scheme with Improved Accuracy Near Discontinuities
• Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging
• Non-regular Surface Approximation
• Interpolation and Approximation of Piecewise Smooth Functions

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