求解非线性多参数谱问题的先进方法

2021 IEEE 26th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) Pub Date : 2021-09-08 DOI:10.1109/DIPED53165.2021.9552315

P. Savenko

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引用次数: 1

摘要

提出了一种求解Banach空间全纯算子函数非线性多参数谱问题的有效数值方法。证明了频谱连通分量的存在性定理，该定理的证明是通过求解具有相应初始条件的一阶偏导数方程组得到的。给出了求解三参数谱问题的实例。

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Advanced Method for Solving the Non-linear Multiparameter Spectral Problems

An effective numerical method for solving non-linear multiparametric spectral problems for the holomorphic operator-functions, which belong to the Banach spaces is proposed. The theorem of existence of connected components of the spectrum (CCS), the finding of which consists in solving a system of equations of partial derivatives of the first order with the corresponding initial condition, is proved. The examples of solving three-parameter spectral problems are given.

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来源期刊

2021 IEEE 26th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

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