{"title":"水平均匀介质中大地磁场的数值模拟方法:差分格式和收敛估计","authors":"O. V. Zabinyakova, S. N. Sklyar","doi":"10.1134/s1995423922010037","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper proposes a method for numerically solving a direct one-dimensional problem of magnetotelluric sounding. Some difference schemes are constructed by a method of local integral equations. A natural variant of interpolation of an approximate solution is considered. An estimate of convergence of the approximate solution to the exact one and an estimate of the interpolation error are obtained.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"217 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Method of Numerical Modelling of a Magnetotelluric Field in a Horizontally Homogeneous Medium: Difference Schemes and Convergence Estimates\",\"authors\":\"O. V. Zabinyakova, S. N. Sklyar\",\"doi\":\"10.1134/s1995423922010037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>This paper proposes a method for numerically solving a direct one-dimensional problem of magnetotelluric sounding. Some difference schemes are constructed by a method of local integral equations. A natural variant of interpolation of an approximate solution is considered. An estimate of convergence of the approximate solution to the exact one and an estimate of the interpolation error are obtained.</p>\",\"PeriodicalId\":43697,\"journal\":{\"name\":\"Numerical Analysis and Applications\",\"volume\":\"217 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Numerical Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1995423922010037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995423922010037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A Method of Numerical Modelling of a Magnetotelluric Field in a Horizontally Homogeneous Medium: Difference Schemes and Convergence Estimates
Abstract
This paper proposes a method for numerically solving a direct one-dimensional problem of magnetotelluric sounding. Some difference schemes are constructed by a method of local integral equations. A natural variant of interpolation of an approximate solution is considered. An estimate of convergence of the approximate solution to the exact one and an estimate of the interpolation error are obtained.
期刊介绍：
Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998.
The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields.
The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.
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