- Issue 4 Pages 127-
- Issue 3 Pages 53-
- Issue 2 Pages 33-
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Hidenori Ogata2024 Volume 34 Issue 4 Pages 127-130
Published: 2024
Released on J-STAGE: December 25, 2024
JOURNAL FREE ACCESSAbstract. The invariant scheme of the charge simulation method for two-dimensional potential problems is designed so that it remains invariant with respect to scale transformations and origin shifts which the exact solution satisfies. In this paper, we show that, moreover, it remains invariant essentially with respect to the Möbius transformations, where the two-dimensional Euclid plane is identified with the complex plane. It means that the approximate solution of the invariant scheme does not depend on the choice of two-dimensional Cartesian coordinates of the whole two-dimensional Euclidean plane.
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Kimihiko Ueno, Takashi Murakami, Kensiro Sasaki2024 Volume 34 Issue 4 Pages 131-173
Published: 2024
Released on J-STAGE: December 25, 2024
JOURNAL FREE ACCESSAbstract. A problem may arise when estimating the power spectral density function of ocean wave time series data using a linear autoregressive model. The problem is that the graph of the power spectral density function is theoretically unimodal, but the estimated graph is multimodal. This phenomenon is widely known as line splitting. In this study, the authors proposed a method to solve this problem. In this study, the effectiveness of the countermeasures was not only verified by numerical simulations, but also by using actual time series data of ocean waves measured in Tokyo Bay.
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