摘要: As differentiation is inherently less stable than integration and benefits little from high-order methods, we usually choose easy methods. Mostly, we 阅读全文
posted @ 2025-08-14 12:36 studentDL 阅读(11) 评论(0) 推荐(0)
摘要: As \(n\) gets large, Newton-Cotes formulas face Runge's phenomenon, which leads to the drop of precision. Thus in practice, we normally adopt Simpson' 阅读全文
posted @ 2025-08-14 11:17 studentDL 阅读(7) 评论(0) 推荐(0)
摘要: Newton-Cotes formula is a general class of formulas that estimate the integral of a function with the integral of a Lagrange interpolation polynomial 阅读全文
posted @ 2025-08-14 10:48 studentDL 阅读(34) 评论(0) 推荐(0)