Abstract
AbstractIn this article, we introduce a new WENO algorithm that aims to calculate an approximation to derivative values of a function in a non-regular grid. We adapt the ideas presented in [Amat et al., SIAM J. Numer. Anal. (2020)] to design the nonlinear weights in a manner such that the order of accuracy is maximum in the intervals close to the discontinuities. Some proofs, remarks on the choice of the stencils and explicit formulas for the weights and smoothness indicators are given. We also present some numerical experiments to confirm the theoretical results.
Funder
Ministerio de Ciencia Tecnología y Telecomunicaciones
Fundación Séneca
AFOSR
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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