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article · Journal of Computational and Applied Mathematics

Numerical cubature on scattered data by adaptive interpolation

202414 citationsOpen accessUniversité Moulay Ismail de Meknes

Abstract

We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.

Research topics

  • Numerical methods in engineering
  • Geophysical Methods and Applications
  • Electromagnetic Scattering and Analysis

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DOI: 10.1016/j.cam.2024.115793

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