Legendre-Fourier spectral approximation and error analysis for nonlinear eigenvalue problems in complex domains

In this paper, we develop and analyze an efficient Legendre-Fourier spectral approximation for solving nonlinear eigenvalue problems in complex domains. The main idea is to employ the domain mapping method to convert the nonlinear eigenvalue problem on a complex domain into an equivalent form on a s...

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Bibliographic Details
Published in:	Journal of applied mathematics & computing Vol. 71; no. 4; pp. 5477 - 5504
Main Authors:	Zheng, Jihui, An, Jing
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2025 Springer Nature B.V
Subjects:	Accuracy Algorithms Approximation Computational Mathematics and Numerical Analysis Coordinate transformations Eigenvalues Eigenvectors Error analysis Estimates Fourier series Mapping Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Methods Numerical analysis Original Research Polynomials Spectral methods Theory of Computation 65N25 Complex domains 65N15 81Q05 Error analysis Nonlinear eigenvalue problems Legendre-fourier spectral method 35Q55 65N30
ISSN:	1598-5865, 1865-2085
Online Access:	Get full text
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