A New Collocation Scheme Using Non-polynomial Basis Functions

In this paper, we construct a set of non-polynomial basis functions from a generalised Birkhoff interpolation problem involving the operator: Lλ=d2/dx2−λ2Lλ=d2/dx2−λ2 with constant λ.λ. With a direct inverting the operator, the basis can be pre-computed in a fast and stable manner. This leads to...

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Bibliographic Details
Main Authors: Zhang, Chao, Liu, Wenjie, Wang, Li-Lian
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2017
Subjects:
Online Access:https://hdl.handle.net/10356/85589
http://hdl.handle.net/10220/43728
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Institution: Nanyang Technological University
Language: English
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