Scholarlink

<p>The problem of approximating double integrals of highly oscillating functions of general type (irregular case) is considered. A cubature formula is constructed that uses O. M. Lytvyn’s information operators and piecewise linear splines as auxiliary functions. Information about the functions is provided by the corresponding values on the lines. The proposed cubature formula is proved to be optimal in terms of the order of accuracy on the class of differentiable functions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Approximate Calculation of Double Integrals of Highly Oscillating Functions of General Type Using the Cubature Formula of Optimal Order of Accuracy on a Class of Differentiable Functions

  • 期刊论文

  • 发表日期：

    2025年7月1日

查看全文
  • O. P. Nechuiviter

摘要

The problem of approximating double integrals of highly oscillating functions of general type (irregular case) is considered. A cubature formula is constructed that uses O. M. Lytvyn’s information operators and piecewise linear splines as auxiliary functions. Information about the functions is provided by the corresponding values on the lines. The proposed cubature formula is proved to be optimal in terms of the order of accuracy on the class of differentiable functions.