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Journal of Scientific Computing

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01-11-2015

How Many Numerical Eigenvalues Can We Trust?

Author: Zhimin Zhang

Published in: Journal of Scientific Computing | Issue 2/2015

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Abstract

When using finite element and finite difference methods to approximate eigenvalues of 2mth-order elliptic problems, the number of reliable numerical eigenvalues can be estimated in terms of the total degrees of freedom \(N\) in resulting discrete systems. The truth is worse than what we used to believe in that the percentage of reliable eigenvalues decreases with an increased \(N\), even though the number of reliable eigenvalues increases with \(N\).

next article Revisit of the Indirect Boundary Element Method: Necessary and Sufficient Formulation

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Title: How Many Numerical Eigenvalues Can We Trust?
Author: Zhimin Zhang
Publication date: 01-11-2015
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 2/2015
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-014-9971-5

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