Well-conditioned collocation schemes and new triangular spectral-element methods

In the first portion of this thesis, a new well-conditioned collocation method for solving differential equations based on Birkhoff interpolation is presented. The collocation schemes on interior points using the interpolation basis functions produce linear systems that do not use differentiation m...

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Bibliographic Details
Main Author: Villena Samson, Michael Daniel
Other Authors: Wang Li-Lian
Format: Thesis
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/60760