کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4645458 1342035 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fast derivative computation using smooth X-splines
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Fast derivative computation using smooth X-splines
چکیده انگلیسی

Piecewise cubic polynomials, namely X-splines, are applied as smooth approximations by regularization. The method reduces the computations while estimating the derivatives when the data has noise. The regularization parameter is chosen which helps to smooth the data and find the derivative with less computation. The convergence of the computed derivative to the exact derivative is also analyzed. Example from satellite orbit determination is used to demonstrate the efficacy for fast computation though a posteriori method is found useful to obtain satisfactory performance.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 62, Issue 11, November 2012, Pages 1654-1662