A rational radial basis function method for accurately resolving discontinuities and steep gradients

DOI10.1016/j.apnum.2018.04.001zbMath1397.65209OpenAlexW2797711878MaRDI QIDQ1748426

Yikun Bai, Scott A. Sarra

Publication date: 11 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.04.001

zbMATH Keywords

rational interpolationradial basis functionsGibbs phenomenonshockstime-dependent PDEs

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Matlab
• ARPACK
• RBFT
• rbf_qr
• Matlab-RBF-Toolbox
• AAA

Cites Work

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• rbf_qr
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