Weighted ENO interpolation and applications.

DOI10.1016/S1007-5704(03)00107-2zbMath1037.41001OpenAlexW2063938274MaRDI QIDQ1421545

Ana María Belda, Francesc Aràndiga

Publication date: 26 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00107-2

zbMATH Keywords

discretizationmultiscale decompositionreconstruction.

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (16)

On multiresolution schemes using a stencil selection procedure: applications to ENO schemes ⋮ Adaptive rational interpolation for cell-average ⋮ Fast multiresolution algorithms and their related variational problems for image denoising ⋮ Point-value WENO multiresolution applications to stable image compression ⋮ A High-Order Scheme for Image Segmentation via a Modified Level-Set Method ⋮ Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms ⋮ Nonlinear improvements of quasi-interpolanting splines to approximate piecewise smooth functions ⋮ Using a characteristic-based particle tracking method to solve one-dimensional fully dynamic wave flow ⋮ A review on the piecewise polynomial harmonic interpolation ⋮ An in-depth study on WENO-based techniques to improve parameter extraction procedures in MOSFET transistors ⋮ On the reconstruction of discontinuous functions using multiquadric RBF-WENO local interpolation techniques ⋮ Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes ⋮ On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes ⋮ Adaptive interpolation with maximum order close to discontinuities ⋮ Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations ⋮ Cell average image transform algorithms with exact error control

Cites Work

• ENO schemes with subcell resolution
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• Nonlinear multiscale decompositions: The approach of A. Harten
• Tensor product multiresolution analysis with error control for compact image representation
• Efficient implementation of weighted ENO schemes

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