Numerical differentiation for two-dimensional scattered data on arbitrary domain base on Hermite extension with an implicit iteration process

Numerical differentiation for two-dimensional scattered data on arbitrary domain base on Hermite extension with an implicit iteration process

In this paper, we develop a method for numerical differentiation of two-dimensional scattered input data on arbitrary domain. A Hermite extension approach is used to realize the approximation and a modified implicit iteration method is proposed to stabilize the approximation process. For functions w...

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Bibliographic Details
Main Authors: Benxue Gong, Zhenyu Zhao, Tiao Bian, Yingmei Wang
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
numerical differentiation
ill posed problem
regularization
implicit iteration
hermite extension
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022334?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022334?viewType=HTML

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