Iterative algorithms for processing experimental data

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• 作者：K. K. Tretiak
• 刊名：Plasma physics reports
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：42
• 期：10
• 页码：947-955
• 全文大小：562 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Atoms, Molecules, Clusters and Plasmas
  Russian Library of Science
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1562-6938
• 卷排序：42

文摘

The need to solve linear and nonlinear integral equations arise, e.g., in recovering plasma parameters from the data of multichannel diagnostics. The paper presents an iterative method for solving integral equations with a singularity at the upper limit of integration. The method consists in constructing successive approximations and calculating the integral by quadrature formulas in each integration interval. An example of application of the iterative algorithm to numerically solve an integral equation similar to those arising in recovering the plasma density profile from reflectometry data is presented.