{"title":"The Combinatorial–Variational Approach to Solving Linear and Nonlinear Inverse Problems in Geophysics","authors":"I. E. Stepanova, I. I. Kolotov","doi":"10.1134/s1028334x24602499","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of interpreting heterogeneous and multiprecision geophysical data is considered from the point of view of combinatorics within the framework of the approximation approach. The discrete nature of information about physical fields and their sources imposes a number of limitations on the possibilities of adequate data interpretation. Combinatorial methods of discrete mathematics make it possible to describe accurately the criteria for selecting data to approximate the elements of anomalous potential fields, as well as for controlling the quality of the approximate solution of inverse problems, both linear and nonlinear.</p>","PeriodicalId":11352,"journal":{"name":"Doklady Earth Sciences","volume":"19 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Earth Sciences","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.1134/s1028334x24602499","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOSCIENCES, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of interpreting heterogeneous and multiprecision geophysical data is considered from the point of view of combinatorics within the framework of the approximation approach. The discrete nature of information about physical fields and their sources imposes a number of limitations on the possibilities of adequate data interpretation. Combinatorial methods of discrete mathematics make it possible to describe accurately the criteria for selecting data to approximate the elements of anomalous potential fields, as well as for controlling the quality of the approximate solution of inverse problems, both linear and nonlinear.
期刊介绍：
Doklady Earth Sciences is a journal that publishes new research in Earth science of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.
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