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• W4313334834 abstract "We develop two new ideas for interpolation on $$mathbb {S}^2$$ . In this first part, we will introduce a simple interpolation method named Spherical Interpolation of orDER n (SIDER-n) that gives a $$C^{n}$$ interpolant given $$n ge 2$$ . The idea generalizes the construction of the Bézier curves developed for $$mathbb {R}$$ . The second part incorporates the ENO philosophy and develops a new Spherical Essentially Non-Oscillatory (SENO) interpolation method. When the underlying curve on $$mathbb {S}^2$$ has kinks or sharp discontinuity in the higher derivatives, our proposed approach can reduce spurious oscillations in the high-order reconstruction. We will give multiple examples to demonstrate the accuracy and effectiveness of the proposed approaches." @default.
• W4313334834 created "2023-01-06" @default.
• W4313334834 creator A5030263181 @default.
• W4313334834 creator A5059208158 @default.
• W4313334834 date "2022-12-29" @default.
• W4313334834 modified "2023-10-03" @default.
• W4313334834 title "Spherical Essentially Non-oscillatory (SENO) Interpolation" @default.
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• W4313334834 doi "https://doi.org/10.1007/s10915-022-02080-7" @default.
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