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发表于 2025-3-21 16:09:08 | 显示全部楼层 |阅读模式
书目名称Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems
编辑Xuefeng Liu
视频video
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: ;
出版日期Book 2024
版次1
doihttps://doi.org/10.1007/978-981-97-3577-8
isbn_softcover978-981-97-3576-1
isbn_ebook978-981-97-3577-8Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
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发表于 2025-3-21 20:29:25 | 显示全部楼层
https://doi.org/10.1007/978-3-319-17205-7y formulated eigenvalue problems. These algorithms have a common feature: they consider the angle between the exact eigenspace and the approximate one, thereby enabling them to handle cases where eigenvalues are tightly clustered.
发表于 2025-3-22 02:34:54 | 显示全部楼层
,Lehmann–Goerisch Method for High-Precision Eigenvalue Bounds,ained from the lower bound derived in Chaps. . and .. This method takes the advantage of accurate approximate eigenfunctions computed by any means and subsequently delivers precise eigenvalue bounds. The effectiveness of this method is demonstrated via its application to the Laplacian and Steklov eigenvalue problems.
发表于 2025-3-22 06:21:37 | 显示全部楼层
Guaranteed Eigenfunction Computation,y formulated eigenvalue problems. These algorithms have a common feature: they consider the angle between the exact eigenspace and the approximate one, thereby enabling them to handle cases where eigenvalues are tightly clustered.
发表于 2025-3-22 09:52:42 | 显示全部楼层
https://doi.org/10.1007/978-981-13-8051-8ation allow for the use of both conforming and non-conforming FEMs to solve various problems, such as the biharmonic eigenvalue problem, the Steklov eigenvalue problem, and the Maxwell eigenvalue problem, with diverse function settings.
发表于 2025-3-22 15:57:03 | 显示全部楼层
发表于 2025-3-22 17:25:00 | 显示全部楼层
https://doi.org/10.1007/978-3-662-09901-8ogress in the field of guaranteed eigenvalue computation over the past decade, while also highlighting its relationship with early work such as Birkhoff’s result. Examples of eigenvalue problems demonstrate the need for guaranteed computation. The chapter also discusses the settings of function spaces and basic usage of finite element methods.
发表于 2025-3-22 22:03:57 | 显示全部楼层
The System Silicon-Nitrogen-Hydrogen partial differential equations. These error estimates are crucial for obtaining explicit eigenvalue bounds. A primary focus is on the a priori error estimation based on the hypercircle method (i.e., the Prager–Synge theorem), offering a novel approach for projection error estimation in the analysis of eigenvalue problems.
发表于 2025-3-23 03:56:26 | 显示全部楼层
发表于 2025-3-23 09:08:30 | 显示全部楼层
Introduction to Eigenvalue Problems,ogress in the field of guaranteed eigenvalue computation over the past decade, while also highlighting its relationship with early work such as Birkhoff’s result. Examples of eigenvalue problems demonstrate the need for guaranteed computation. The chapter also discusses the settings of function spaces and basic usage of finite element methods.
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