论离散势理论中确定拉普拉斯方程网格基本解的唯一性

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED Computational Mathematics and Mathematical Physics Pub Date : 2024-09-01 DOI:10.1134/s0965542524700696

I. E. Stepanova, I. I. Kolotov, A. G. Yagola, A. N. Levashov

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引用次数: 0

摘要

摘要本文研究了离散重力势理论中拉普拉斯方程网格模拟基本解的唯一确定问题。拉普拉斯方程的有限差分模拟的网格基本解在从某一网格集各点获得的异质和不同精度的数据重建连续分布的引力场或磁场源方面起着关键作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Uniqueness of Determining the Mesh Fundamental Solution of Laplace’s Equation in the Theory of Discrete Potential

Abstract

The paper examines the problem of unique determination of the fundamental solution of a mesh analogue of Laplace’s equation within the theory of discrete gravitational potential. The mesh fundamental solution of the finite-difference analogue of Laplace’s equation plays a key role in reconstructing a continuously distributed source of gravitational or magnetic field from heterogeneous and different-precision data obtained at points of a certain mesh set.

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.