کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645481 | 1342038 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Reducing rounding errors and achieving Brouwerʼs law with Taylor Series Method
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Reducing rounding errors and achieving Brouwerʼs law with Taylor Series Method Reducing rounding errors and achieving Brouwerʼs law with Taylor Series Method](/preview/png/4645481.png)
چکیده انگلیسی
The integration of problems derived from dynamical systems is an important topic, both in mathematics and physics. In many publications, specific algorithms for each problem are proposed to obtain high accuracy in the integration. In this paper, we study the performance of the Taylor Series Method and the ways to obtain optimal accuracy in the integration of differential equations. We present different sources of rounding errors and how to reduce them. All the different strategies are compared to show their efficiency.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 62, Issue 8, August 2012, Pages 1014-1024
Journal: Applied Numerical Mathematics - Volume 62, Issue 8, August 2012, Pages 1014-1024