An interpolation based on Cauchy's integral representation |
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Authors: | H Yano N Kitahara |
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Institution: | Department of Mechanical Engineering Maizuru Technical College, Maizuru, Kyoto, 625 Japan;Department of Electrical Engineering, Maizuru Technical College, Maizuru, Kyoto, 625 Japan |
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Abstract: | In this paper, we present a new method of interpolation on equally spaced collocation points in a fixed interval on the x-axis. The proposed scheme is an iterative one which combines Taylor expansion and Cauchy's integral representation. The convergence rate of the method is investigated theoretically and verified numerically. Additionally, some numerical results are also shown to discuss the usefulness of the present method. |
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