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Content Provider | SpringerLink |
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Author | Hoang, Nguyen Si Sidje, Roger B. Cong, Nguyen Huu |
Copyright Year | 2006 |
Abstract | Functionally-fitted methods are generalizations of collocation techniques to integrate an equation exactly if its solution is a linear combination of a chosen set of basis functions. When these basis functions are chosen as the power functions, we recover classical algebraic collocation methods. This paper shows that functionally-fitted methods can be derived with less restrictive conditions than previously stated in the literature, and that other related results can be derived in a much more elegant way. The novelty in our approach is to fully retain the collocation framework without reverting back into derivations based on cumbersome Taylor series expansions. |
Starting Page | 861 |
Ending Page | 874 |
Page Count | 14 |
File Format | |
ISSN | 00063835 |
Journal | BIT Numerical Mathematics |
Volume Number | 46 |
Issue Number | 4 |
e-ISSN | 15729125 |
Language | English |
Publisher | Kluwer Academic Publishers |
Publisher Date | 2006-09-06 |
Publisher Place | Dordrecht |
Access Restriction | Subscribed |
Subject Keyword | functional fitting collocation Runge-Kutta Mathematics Numeric Computing Computational Mathematics and Numerical Analysis |
Content Type | Text |
Resource Type | Article |
Subject | Computational Mathematics Computer Networks and Communications Applied Mathematics Software |
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