On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method

DOI10.1007/s10915-017-0596-3zbMath1391.65031OpenAlexW2767881892MaRDI QIDQ1651327

Y. Aharonov

Publication date: 12 July 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0596-3

zbMATH Keywords

finite difference methodssignal processingcorrection termsmultiresolution schemesIIMimproved adaption to discontinuities

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Finite difference methods for boundary value problems involving PDEs (65N06) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Adapting cubic Hermite splines to the presence of singularities through correction terms ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries ⋮ Smoothing for signals with discontinuities using higher order Mumford-Shah models

Uses Software

• IIMPACK

Cites Work

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