Title:
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On functionally-fitted Runge-Kutta methods |
Author:
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N.S., Hoang; Sidje, R.B.; N.H., Cong
|
Abstract:
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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. ?? Springer Science + Business Media B.V. 2006. |
URI:
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http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/7222
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Date:
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2006 |