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Phase Properties of Exponentially-fitted Symmetric Multistep Methods for Y''=f(x,y) by Van de Vyver, Hans is a scholarly article available to read on EtoBox.

What is Phase Properties of Exponentially-fitted Symmetric Multistep Methods for Y''=f(x,y) about?

A convenient tool to obtain numerical methods specially tuned on oscillating functions is exponential fitting. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical phenomena exhibit a pronounced oscillatory behavior. Many exponentially-fitted (EF) symmetric multistep methods for y''=f(x,y) are already developed. To have an idea of the accuracy we examine their phase properties. The remarkably simple expression of the phase-lag error obtained in Theorem 2 allows to draw quantitative conclusions on the merits of each EF version.

Author

Van de Vyver, Hans

Published

2006

Language

EN