کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901555 1631738 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds
چکیده انگلیسی
The Hermite-Birkhoff interpolation problem of a function given on arbitrarily distributed points on the sphere and other manifolds is considered. Each proposed interpolant is expressed as a linear combination of basis functions, the combination coefficients being incomplete Taylor expansions of the interpolated function at the interpolation points. The basis functions depend on the geodesic distance, are orthonormal with respect to the point-evaluation functionals, and have all derivatives equal zero up to a certain order at the interpolation points. A remarkable feature of such interpolants, which belong to the class of partition of unity methods, is that their construction does not require solving linear systems. Numerical tests are given to show the interpolation performance.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 318, 1 February 2018, Pages 35-50
نویسندگان
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