کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4645102 1632185 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher-order Newton–Cotes rules with end corrections
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Higher-order Newton–Cotes rules with end corrections
چکیده انگلیسی

We present higher-order quadrature rules with end corrections for general Newton–Cotes quadrature rules. The construction is based on the Euler–Maclaurin formula for the trapezoidal rule. We present examples with 6 well-known Newton–Cotes quadrature rules. We analyze modified end corrected quadrature rules, which consist on a simple modification of the Newton–Cotes quadratures with end corrections. Numerical tests and stability estimates show the superiority of the corrected rules based on the trapezoidal and the midpoint rules.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 88, February 2015, Pages 66–77
نویسندگان
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